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Page 1: Binary Mathematics Sample Lesson

PRE-CLASS

6

Please Begin Working on your Pre-Class Questions

PC Points: Independently & Silently

00

Come in and get started! Your Pre-Class is part of your Grade! j

PRE-CLASS

Page 2: Binary Mathematics Sample Lesson

1. What is the difference between analog and digital measurements?

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 3: Binary Mathematics Sample Lesson

1. What is the difference between analog and digital measurements? Analog measurements are continuous and encompass all measurements Digital measurements are discrete and only allow for certain measurements

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 4: Binary Mathematics Sample Lesson

2. List pros and cons of Analog and Digital

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 5: Binary Mathematics Sample Lesson

2. List pros and cons of Analog and Digital

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Analog Digital

Natural Faster

Cheaper Continuous

Easier to store Easier to process Easier to replicate

Higher Noise Immunity Discrete

Page 6: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number System used by modern civilizations

Hexadecimal 16 Sixteen 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

Compact notion of binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 7: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Digital Computing

(On or Off)

Octal Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 8: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two Digital Computing

(On or Off)

Octal Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 9: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 10: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 11: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 12: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 13: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 14: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten Number System used by

modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 15: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number System used by modern civilizations

Hexadecimal Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 16: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number System used by modern civilizations

Hexadecimal 16 Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 17: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number System used by modern civilizations

Hexadecimal 16 Sixteen Compact notion of

binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 18: Binary Mathematics Sample Lesson

Base # of Digits Digits Usage

Binary 2 Two 0, 1 Digital Computing

(On or Off)

Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions

& teaching Hexadecimal

Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Number System used by modern civilizations

Hexadecimal 16 Sixteen 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F

Compact notion of binary data

3. Please fill out the following chart

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 19: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 20: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1 1 1

000 000 000

Page 21: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1

1 1 1

000 000 000

Page 22: Binary Mathematics Sample Lesson

5. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

2 1

1 1 1

000 000 000

Page 23: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1

000 000 000

Page 24: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1

000 000 000 +4 + 2 + 1

Page 25: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1

000 000 000 +4 + 2 + 1

Page 26: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1

000 000 000 +4 + 2 + 1

Page 27: Binary Mathematics Sample Lesson

4. Convert the number 111 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1

000 000 000 +4 + 2 + 1 = 7

Page 28: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 29: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1 0 1 1

000 000 000 000

Page 30: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1

1 0 1 1

000 000 000 000

Page 31: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

2 1

1 0 1 1

000 000 000 000

Page 32: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 0 1 1

000 000 000 000

Page 33: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

8 4 2 1

1 0 1 1

000 000 000 000

Page 34: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

8 4 2 1

1 0 1 1

000 000 000 000 8 + 2 + 1 = 11

Page 35: Binary Mathematics Sample Lesson

5. Convert the number 1011 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

8 4 2 1

1 0 1 1

000 000 000 000 8 + 2 + 1 = 11

Page 36: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

Page 37: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 38: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 39: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 40: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 41: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 42: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 43: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

32 16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 44: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

64 32 16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 45: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

128 64 32 16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000

Page 46: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

128 64 32 16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000 128 + 64 + 32 + 8 + 1 = 233

Page 47: Binary Mathematics Sample Lesson

6. Convert the number 11101001 into Decimal

Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Pre-Class worksheet

128 64 32 16 8 4 2 1

1 1 1 0 1 0 0 1

000 000 000 000 000 000 000 000 128 + 64 + 32 + 8 + 1 = 233

Page 48: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 49: Binary Mathematics Sample Lesson

OBJECTIVE 1. Review Bin-Dec Conversion 2. Go Over Objective, Announcements You know the drill!!!

3. Review Chapter 2 Intro to Digital Mathematics

4. Finish Exit Ticket, distribute Hw 5. Lab – in room Lab 4 @ 11:30

6. After Class see me for ?/help

Page 50: Binary Mathematics Sample Lesson

Course Evaluation and Grading Final Grades will be based on:

Category Weight Labs 25%

Assignments 15%

Quizzes 10%

Unit Exams 15%

Laboratory Final 15%

Final Exam 20%

Total 100%

Grading Rubric for Digital ET 255

Page 51: Binary Mathematics Sample Lesson

As if math alone wasn’t hard enough

already…

Mathematical Operations in Binary

Chapter 2: 2-1 through 2-6 1.1 – 1.7 pg 40 – pg 61

Page 52: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations In order to understand binary mathematics, we have

to understand some basic DECIMAL addition

ET 255 ET 255 Number Systems and operations

Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1

Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3

Page 53: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations In order to understand binary mathematics, we have

to understand some basic DECIMAL addition

ET 255 ET 255 Number Systems and operations

Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1

Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3

Page 54: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations In order to understand binary mathematics, we have

to understand some basic DECIMAL addition

ET 255 ET 255 Number Systems and operations

Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1

Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3

Page 55: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations In order to understand binary mathematics, we have

to understand some basic DECIMAL addition

ET 255 ET 255 Number Systems and operations

Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1

Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3

Page 56: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations The following table illustrates the binary

representation of the following decimal values

ET 255 ET 255 Number Systems and operations

Decimal Binary 0 00 1 01 2 10 3 11

Page 57: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

Page 58: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

Page 59: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

Page 60: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

Page 61: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

Page 62: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

OMG like so what!

Page 63: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

So with binary This means . . .

Page 64: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

0

So with binary This means . . .

Page 65: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

0 1

So with binary This means . . .

Page 66: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

0 1 1 0

So with binary This means . . .

Page 67: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Next, let’s look at some basic Decimal Operations

ET 255 ET 255 Number Systems and operations

1 0 0 1 1

+ 0 + 1 + 1 + 1 0 1 2 3

0 1 1 0 1 1

So with binary This means . . .

Page 68: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

Page 69: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

Page 70: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

Page 71: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

Page 72: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

Page 73: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 2 - 0 - 0 - 1 - 1

0 1 0 1

So with binary This means . . .

Page 74: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations

0 1 1 1 0 - 0 - 0 - 1 - 1

0 1 0 1

So with binary This means . . .

Page 75: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 76: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

Page 77: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

Page 78: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

Page 79: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

Page 80: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

1

Page 81: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

1 1

Page 82: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s look at Addition

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 2 + 1 + 1

1 1 3

Page 83: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1

Page 84: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 -

Page 85: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 - 1

Page 86: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 - 1

Page 87: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 - 1

0

Page 88: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 - 1

1 0

Page 89: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Similarly, let’s look at Subtraction

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 3 - 1 - 1

1 0 2

Page 90: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 + 0 1 1

Page 91: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1

Page 92: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 3

Page 93: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 + 3

Page 94: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 + 3

1

Page 95: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 + 3

0 1

1

Page 96: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 + 3 1 0 0 1

1

Page 97: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 0 6 + 0 1 1 + 3 1 0 0 1 9

1

Page 98: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 - 0 1 1

Page 99: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1

Page 100: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 3

Page 101: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 - 3

Page 102: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 - 3

0

Page 103: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 - 3

0

1

Page 104: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 - 3

1 0

1

Page 105: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Now let’s try a more difficult problem!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 5 - 0 1 1 - 3

1 0 2

1

Page 106: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 107: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1

Example 1

Example 2

1 0 0 + 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

Page 108: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1

0

Example 1

Example 2

1 0 0 + 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1

Page 109: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1

Page 110: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1

Page 111: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1

Page 112: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1

Page 113: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

0

1

1

Page 114: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1

1 0

1

1 1

Page 115: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 1 1 + 1 1 1 0 1 0

1

1 1

Page 116: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

0

1 1 1 + 1 1 1 0 1 0

1

1 1 1

Page 117: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

0 0

1 1 1 + 1 1 1 0 1 0

1

1 1 1 1

Page 118: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1

1 0 0

1 1 1 + 1 1 1 0 1 0

1

1 1 1 1 1

Page 119: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 + 1 1 1 1 0

Example 1

Example 2

1 0 0 + 1 0

1 1 0

Example 3

Example 4

1 1 0 1 + 1 1 1 1 0 1 0 0

1 1 1 + 1 1 1 0 1 0

1

1 1 1 1 1

Page 120: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

Example 5

Example 6

1 1 0 1 - 0 1 1

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

Page 121: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

1

Example 5

Example 6

1 1 0 1 - 0 1 1

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

Page 122: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 1 0 1 - 0 1 1

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

Page 123: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 1 0 1 - 0 1 1

0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

Page 124: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1

Page 125: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1

Page 126: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1

Page 127: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1

Page 128: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

0

1

Page 129: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1 0

1

Page 130: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

0 1 0

1

Page 131: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 1 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1 0 1 0

1

Page 132: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 0 0 - 1 1 0 1

1 1 1 1 - 1 0 1

1 0 1 0

1

1

Page 133: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 0 0 - 1 1 0 1 1

1 1 1 1 - 1 0 1

1 0 1 0

1

1

Page 134: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 0 0 - 1 1 0 1 0 1

1 1 1 1 - 1 0 1

1 0 1 0

1

1

Page 135: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 0 0 - 1 1 0 1 0 0 1

1 1 1 1 - 1 0 1

1 0 1 0

1

1

Page 136: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 - 1 0

0 1

Example 5

Example 6

1 0 0 1 - 0 1 1

1 0 1 0

Example 7

Example 8

1 1 0 0 - 1 1 0 1 0 0 0 1

1 1 1 1 - 1 0 1

1 0 1 0

1

1

Page 137: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0

0 0 1

1 0 1

+ 1 1 1

Page 138: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 1

0 0 1

1 0 1

+ 1 1 1

Page 139: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 0 1

0 0 1

1 0 1

+ 1 1 1

1

Page 140: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 1 0 0 1

0 0 1

1 0 1

+ 1 1 1

1

Page 141: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 1 0 0 1

0 0 1

1 0 1

+ 1 1 1 1

1 1

Page 142: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 1 0 0 1

0 0 1

1 0 1

+ 1 1 1 0 1

1 1 1

Page 143: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 9

Example 10

0 1 0

0 0 1

+ 1 1 0 1 0 0 1

0 0 1

1 0 1

+ 1 1 1 1 1 0 1

1 1 1

Page 144: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

Page 145: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1

Page 146: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1

Page 147: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 148: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 149: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 150: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 151: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

+ 0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 152: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

+ 0 0 1 1 1 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 153: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

+ 0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 154: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

+ 0 1 1 1 0

1 1 0 1

+ 0 1 1 1

1 1 1 1

Page 155: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

+ 0 1 1 1 1 0

1 1 0 1

+ 0 1 1 1

1 1 1 1 1

Page 156: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

+ 0 1 1 1 0 1 0

1 1 0 1

+ 0 1 1 1

1 1 1 1 1 1

Page 157: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

+ 0 1 1 1 1 0 0 1 0

1 1 0 1

+ 0 1 1 1

1 1 1 1 1 1

Page 158: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

+ 1 1 0 1

+ 0 1 1 1

1 1 1 1 1 1

Page 159: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

+ 1 1 0 1 1 1 1 1 1

+ 0 1 1 1

1 1 1 1 1 1

Page 160: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1

1 1 1 1 1 1

Page 161: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1 0

1 1 1 1 1 1

1

Page 162: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1 1 0

1 1 1 1 1 1

1 1

Page 163: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1 1 1 0

1 1 1 1 1 1

1 1 1

Page 164: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1 0 1 1 0

1 1 1 1 1 1

1 1 1 1

Page 165: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1 1 0 1 1

0 1 1 1 1 0 0 1 0

1 1 0 1 1 1 1 1 1

+ 0 1 1 1 1 0 0 1 1 0

1 1 1 1 1 1

1 1 1 1

Page 166: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1

1 1 1

Page 167: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 4

1 1 1

Page 168: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 0 0

1 1 1

Page 169: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 0

1 1 1

0 1

Page 170: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 3 0

1 1 1

0 1

Page 171: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 1 0

1 1 1

0 1

Page 172: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 0

1 1 1

0 1 1

Page 173: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 5 1 0

1 1 1

0 1 1

Page 174: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 0 1 1 0

1 1 1

0 1 1

Page 175: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 1 0

1 1 1

0 1 1

0 1

Page 176: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 2 1 1 0

1 1 1

0 1 1

0 1

Page 177: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 1 0 1 1 0

1 1 1

0 1 1

0 1

Page 178: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 0 1 1 0

1 1 1

0 1 1

0 1

1

Page 179: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 2 0 1 1 0

1 1 1

0 1 1

0 1

1

Page 180: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Method 2

Example 12

1 0 0 0

0 1 0 1

0 1 1 1

+ 0 0 1 1 1 0 1 1 1

1 0 0 0

0 0 1 1

0 1 1 1

1 1 0 1

+ 0 1 1 1 0 0 1 1 0

1 1 1

0 1 1

0 1

1

0

1

1

1 1

Page 181: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 182: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 183: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 184: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 185: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 186: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Multiplication in binary is identical to in decimal

ET 255 ET 255 Number Systems and operations

Page 187: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 188: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0

x 1 1 1

Page 189: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1

Page 190: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 7

Page 191: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

Page 192: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

Page 193: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

Page 194: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

Page 195: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

Page 196: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

Page 197: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

Page 198: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

Page 199: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

Page 200: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

Page 201: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

o 1 0 0

Page 202: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

o 1 0 0

Page 203: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

o 1 0 0

Page 204: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

+o 1 0 0

Page 205: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

+o 1 0 0

1 1 1 0 0

Page 206: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

+o 1 0 0

1 1 1 0 0

Page 207: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0

1 0 0

+o 1 0 0

1 1 1 0 0

Page 208: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0 2 8

1 0 0

+o 1 0 0

1 1 1 0 0

Page 209: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0 2 8

1 0 0

+o 1 0 0

1 1 1 0 0

Page 210: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0 2 8

1 0 0

+o 1 0 0

1 1 1 0 0

Page 211: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some multiplication

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 0 4

x 1 1 1 x 7

1 0 0 2 8

1 0 0

+o 1 0 0

1 1 1 0 0

Page 212: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 213: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 214: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 215: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 216: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 217: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 218: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Division in binary is also the same as in decimal

ET 255 ET 255 Number Systems and operations

Page 219: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 220: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 0 1 1 0

Page 221: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 0 1 1 0 2

Page 222: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 0 1 1 0 2 2 2

Page 223: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 0 1 1 0 2 2 2

Page 224: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 0 1 0 1 1 0 2 2 2

Page 225: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 0 1 1 0 2 2 2

Page 226: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 0 1 1 0 2 2 2

Page 227: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 1 0 1 0 1 1 0 2 2 2

Page 228: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 1 0 1 0 1 1 0 2 2 2

- 1 0

Page 229: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0

Page 230: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1

Page 231: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1

Page 232: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1

Page 233: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1

Page 234: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

Page 235: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1

Page 236: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1

Page 237: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0

Page 238: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0

Page 239: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0

Page 240: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0 - 1 0

Page 241: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0 - 1 0

0

Page 242: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Mathematical Operations Let’s try some division

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

0 1 0 1 1 1 1 1 0 1 0 1 1 0 2 2 2

- 1 0 0 1 1 - 1 0

1 0 - 1 0

0

Page 243: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 244: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

Example 9

Example 10

1 0 0 x 1 0

Page 245: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

Example 9

Example 10

1 0 0 x 1 0

Page 246: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1

Example 9

Example 10

1 0 0 x 1 0

Page 247: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1

Example 9

Example 10

1 0 0 x 1 0

Page 248: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1

Example 9

Example 10

1 0 0 x 1 0

Page 249: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1

Example 9

Example 10

1 0 0 x 1 0

Page 250: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1

Example 9

Example 10

1 0 0 x 1 0

Page 251: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1

Example 9

Example 10

1 0 0 x 1 0

+

Page 252: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

+

Page 253: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1

0 1

Example 9

Example 10

1 0 0 x 1 0

+

1

Page 254: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

+

1

1

Page 255: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

+

1

1

Page 256: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 +

1

1

Page 257: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 +

1

1

Page 258: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 0 +

1

1

Page 259: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 0 0 +

1

1

Page 260: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0 +

1

1

Page 261: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0 +

1

+

1

Page 262: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0

0 +

1

+

1

Page 263: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0

0 0 +

1

+

1

Page 264: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0

0 0 0 +

1

+

1

Page 265: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0 1 0 0 0

+

1

+

1

Page 266: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

1 1 x 1 1

1 1 1 1 0 0 1

Example 9

Example 10

1 0 0 x 1 0

0 1 0 0 1 0 0 0

+

1

+

3 x 3 = 9

2 x 4 = 8

1

Page 267: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

Page 268: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

Page 269: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1

Page 270: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1

Page 271: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1

Page 272: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1

Page 273: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1

Page 274: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1

Page 275: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1

Page 276: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1 +

Page 277: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1

1

+

Page 278: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1

0 1

+

1

Page 279: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1

1 0 1

+

1

1

Page 280: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 281: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 282: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 283: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 284: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 285: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 286: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 287: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 288: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 289: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 290: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 291: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 292: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1

1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 293: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1

0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

Page 294: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1

1

Page 295: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

Page 296: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

Page 297: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

Page 298: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

1

Page 299: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1

1 0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

1

1

Page 300: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

+

1

1

1

1

1

Page 301: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1 0

+

1

1

1

1

1

Page 302: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 11

Example 12

1 1 0 1 x 1 1 1

1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1

1 1 1 x 1 1

1 1 1 1 1 1 0 1 0 1

+

1

1

1 0

+

3 x 7 = 21

7 x 13 = 91

1

1

1

1

1

Page 303: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

1 00 1 1 0 1 0 0 1 1 1 0 0

Page 304: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 00 1 1 0 1 0 0 1 1 1 0 0

Page 305: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 00 1 1 0 1 0 0 1 1 1 0 0

Page 306: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 00 1 1 0

- 1 0 1 0 0 1 1 1 0 0

Page 307: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 00 1 1 0

- 1 0 1

1 0 0 1 1 1 0 0

Page 308: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 00 1 1 0

- 1 0 1 0

1 0 0 1 1 1 0 0

Page 309: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

1 0 0 1 1 1 0 0

Page 310: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0

1 0 0 1 1 1 0 0

Page 311: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

1 0 0 1 1 1 0 0

Page 312: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 0 0 1 1 1 0 0

Page 313: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 0 0 1 1 1 0 0

Page 314: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 0 0 1 1 1 0 0

- 1 0

Page 315: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 0 0 1 1 1 0 0

- 1 0 1

Page 316: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 0 0 1 1 1 0 0

- 1 0 1 1

Page 317: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

Page 318: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0

Page 319: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1

Page 320: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

Page 321: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

Page 322: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

- 1 0

Page 323: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0

Page 324: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 0

Page 325: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 0

Page 326: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 13

Example 14

0 1 1 1 00 1 1 0

- 1 0 1 0

- 1 0 0

0 1 1 1 0 1 0 0 1 1 1 0 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 0 6 2 = 3

28 2 = 14

Page 327: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

1 00 1 1 1 0 1 0 Tengo un

sombrero en la

cabeza biatch!

Page 328: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 00 1 1 1 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 329: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 00 1 1 1 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 330: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 00 1 1 1 0 1 0

- 1 0 Tengo un

sombrero en la

cabeza biatch!

Page 331: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 00 1 1 1 0 1 0

- 1 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 332: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 00 1 1 1 0 1 0

- 1 0 1 1

Tengo un

sombrero en la

cabeza biatch!

Page 333: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

Tengo un

sombrero en la

cabeza biatch!

Page 334: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 335: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 336: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 337: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 338: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 339: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0

Tengo un

sombrero en la

cabeza biatch!

Page 340: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 341: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 342: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 343: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 344: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1 0 - 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 345: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1 0 - 1 0

0

Tengo un

sombrero en la

cabeza biatch!

Page 346: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 15

0 1 1 1 0 1 1 00 1 1 1 0 1 0

- 1 0 1 1

- 1 0 1 0

- 1 0 0 1 0 - 1 0

0

Tengo un

sombrero en la

cabeza biatch!

58 2 = 29

Page 347: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

1 0 10 1 1 1 1 0 Tengo un

sombrero en la

cabeza biatch!

Page 348: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 1 0 10 1 1 1 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 349: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 0 10 1 1 1 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 350: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 10 1 1 1 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 351: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 10 1 1 1 1 0

- 1 0 1 Tengo un

sombrero en la

cabeza biatch!

Page 352: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0

Tengo un

sombrero en la

cabeza biatch!

Page 353: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 354: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 355: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1 - 1 0 1

Tengo un

sombrero en la

cabeza biatch!

Page 356: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1 - 1 0 1

0

Tengo un

sombrero en la

cabeza biatch!

Page 357: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1 - 1 0 1

0 0

Tengo un

sombrero en la

cabeza biatch!

Page 358: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1 - 1 0 1

0 0

Tengo un

sombrero en la

cabeza biatch!

Page 359: Binary Mathematics Sample Lesson

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Example 16

0 0 1 1 0 1 0 10 1 1 1 1 0

- 1 0 1 0 1 0 1 - 1 0 1

0 0

Tengo un

sombrero en la

cabeza biatch!

30 5 = 6

Page 360: Binary Mathematics Sample Lesson

INDEPENDENT ANALYSIS

Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims.

59 58 57 56 55 54 53 52 51 50 49 48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 09 08 07 06 05 04 03 02 01 00

Page 361: Binary Mathematics Sample Lesson

Signed and Unsigned numbers

Gray Code Please work on the Independent Practice problems

Use your notes! Apply your brain! Call me over if you are really stuck but remember, I will only help you if you have something written down! Always do what you can before asking for help!!

ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 It’s time to try it out!!

Independent practice makes brain

muscle work!

Page 362: Binary Mathematics Sample Lesson

ET 255

Exit Ticket and Closing

Please complete the exit ticket and turn the paper in for points Remember to write neatly and write your name!!!!

Page 363: Binary Mathematics Sample Lesson

1 0 1 1 - 1 0 0

1 0 1 1 + 1 1 1

1 00 1 0 1 1 1 0 0

x 1 1 1

Signed and Unsigned numbers ET 255 ET 255 Number Systems and operations Unit 2 Computer Math TB 143 ET 255 Number Systems and operations Try it Out Example 2 Example 1 Sample Problem Scientific Notation Scientific Notation Scientific Notation ET 115 Exit Ticket

Write the following problems on a piece of paper, solve them showing all work, and turn them in before heading to break. We will meet again for lab at 11:30 in Lab 4

1. Bin Addition

2. Bin Subtraction

3. Bin Multiplication

4. Bin Division

Page 364: Binary Mathematics Sample Lesson

Lesson Closing

What we covered today

Add/Sub Bin Numbers Mult/Div Bin Numbers

Where are we going?

BCD and Gray Code

Homework

Hw 2 Binary Mathematics