Representation of Data in Computer Systems Key words and Definitions Key Word Definition Denary/ Decimal Base 10 Binary Base 2 Bit Nibble Byte Kilobyte Megabyte Gigabyte Terabyte Hexadecimal ASCII Unicode Overflow Error 1 Name: Form: Group: Target Grade:
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Web viewKey Word: Definition; Denary/Decimal. Base 10. Binary. Base 2. Bit. Nibble. Byte. Kilobyte. Megabyte. Gigabyte. Terabyte. Hexadecimal. ASCII. Unicode
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Representation of Data in Computer Systems
Key words and Definitions
Key Word DefinitionDenary/DecimalBase 10BinaryBase 2Bit
Nibble
Byte
Kilobyte
Megabyte
Gigabyte
Terabyte
Hexadecimal
ASCII
Unicode
Overflow Error
1
Name:
Form:
Group:
Target Grade:
Representation of Data in Computer Systems
Lesson 1: Binary to Decimal….and back again!
Binary to Denary Conversion
128 64 32 16 8 4 2 1
0 0 0 1 0 0 0 1
Denary answer:
128 64 32 16 8 4 2 1
0 0 1 0 0 0 1 1
Denary answer:
128 64 32 16 8 4 2 1
0 1 0 0 1 0 0 1
Denary answer:
128 64 32 16 8 4 2 1
0 0 1 1 1 0 0 1
Denary answer:
128 64 32 16 8 4 2 1
1 0 0 1 0 1 1 1
Denary answer:
128 64 32 16 8 4 2 1
1 0 1 1 1 0 1 1
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Representation of Data in Computer Systems
Denary answer:
My method for converting Binary to Denary is…
Denary to Binary conversion
128 64 32 16 8 4 2 1
Denary answer: 24
128 64 32 16 8 4 2 1
Denary answer: 70
128 64 32 16 8 4 2 1
Denary answer: 19
128 64 32 16 8 4 2 1
Denary answer: 156
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Representation of Data in Computer Systems
128 64 32 16 8 4 2 1
Denary answer: 63
128 64 32 16 8 4 2 1
Denary answer: 255
My Method for converting Denary to Binary is…
My progress this lesson:
I attempted ____ out of 6 in the binary to denary conversion.
I got _____ out of 6 correct
I attempted ____ out of 6 in the denary to binary conversion.
I got _____ out of 6 correct
My top score on the binary game was________
This lesson I have been working at a ______ level.
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Representation of Data in Computer Systems
Extension activity:
Below are a number of statements . Decide whether each is true or false and tick the correct box.
TRUE FALSE
A ‘bit’ can store four pieces of data
A byte can store a single alphabetic letter
1000 bytes makes up a megabyte
A small piece of clipart would probably have a file size measured in kilobytes
A byte contains 8 bits
A megabyte contains 1024 kilobytes
A terabyte is larger than a gigabyte
A kilobyte is larger than a byte
An MP3 music file would probably have a file size measured in gigabytes
A nibble contains 4 bytes
1024 gigabytes is equivalent to 1 terabyte
A Hollywood blockbuster film would probably have a file size measured in gigabytes
Supercomputers would store terabytes of data
Hard disks are normally measured in kilobytes
A ‘bit’ is the smallest unit of storage available
Lesson 2: Adding Binary Numbers
5
0 1 1 1
0 1 0 0
Representation of Data in Computer Systems
Rules
0 + 0 = 0 0 + 1 = 1 1 + 1 = 10 1 + 1 + 1 = 11
6
0 0 1 1
1 1 0 0
1 0 0 0
0 1 0 1
0 1 1 1
0 0 1 1
0 1 0 1
0 0 1 1
0 1 0 0
0 1 1 1
Representation of Data in Computer Systems
It is likely that in your exam you will have to add together two 8bit binary numbers
Example
0 0 0 1 1 1 0 1
1 0 0 1 1 0 1 1
1 0 1 1 1 0 0 0
1 1 1 1 1
Row 1 and 2 contains the binary numbers to be added
Row 3 contains the answer
Row 4 is the ‘carry over’ row
Task 1
0 1 1 1 1 1 0 1
0 1 1 0 0 0 1 0
Task 2
1 1 0 1 0 0 1 0
0 0 0 0 0 1 1 0
Task 3
0 1 1 0 0 1 1 0
0 0 1 0 0 0 0 1
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Representation of Data in Computer Systems
Task 4
1 0 1 0 1 0 1 0
0 1 0 0 0 1 1 1
Task 5
1 0 1 1 0 0 0 1
0 0 0 1 1 0 1 0
Task 6
0 0 0 1 1 1 0 1
1 0 0 0 1 0 1 1
Task 7
0 1 1 0 0 0 1 1
0 1 1 0 0 1 1 1
Task 8
1 0 0 1 0 1 0 1
0 0 0 1 1 0 1 1
I got _____ out of 8 correct. This lesson I have worked at a ______grade.
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Representation of Data in Computer Systems
Lesson 3: Hexadecimal
In your exam you will have to convert 2 digit hex numbers into denary, and vice versa
Den 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15Hex 0 1 2 3 4 5 6 7 8 9 A B C D E F
Den Hex Den Hex Den Hex45 32 16
78 54 108
26 18 255
201 36 18
20 76 126
8A A3 B2
BB 3B 1F
9F D1 AA
0B 03 8A
45 FF 2C
In your exam you may also have to convert hex, binary and denary numbers.
Hexadecimal Binary DenaryA 10107 111
2F 1011114C 1001100D1
1001 910001 1711011 27
10001100 140212
1001111011110010
16299
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Representation of Data in Computer Systems
Extension task: Complete this crossword. SOME ANSWERS ARE EXPRESSED IN DENARY, OTHERS IN HEXADECIMAL
10
Representation of Data in Computer Systems
My method for working out Denary to Hex conversions is…
Extension: My method for working out Binary to hex is…
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Representation of Data in Computer Systems
Lesson 4: Representing Characters
My name in DENARY is _____ _____ _____ _____ _____ _____ _____ _____ _____ _____
My name in BINARY is _________________________________________________________