Transcript
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.6The BinaryNumber System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values ofthe binary number system.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
The place values of the binary number system are powers of 2.We say that the binary number system has a base of 2.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
The place values of the binary number system are powers of 2.We say that the binary number system has a base of 2.
the subscript indicates that this is a
binary or base 2 number
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
Digit(Face value) 1 1 0 1
Place value
8 4 2 1Place value
23 22 21 20
11012
The place values of the binary number system are powers of 2.We say that the binary number system has a base of 2.
a binary digit is also known as a bit - bits can
only be 0 or 1
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary Number System
1001.012
Digit(Face value) 1 0 0 1 0 1
Place value
8 4 2 1 0.5 0.25Place value
23 22 21 20 2-1 2-2
.
Note that these arepowers of 2 as well.
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