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MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.7The HexadecimalNumber System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values ofthe hexadecimal number system.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
The place values of the hexadecimal number system are powers of 16.We say that the hexadecimal number system has a base of 16.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
The place values of the hexadecimal number system are powers of 16.We say that the hexadecimal number system has a base of 16.
why is there a “D” in a number?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
The place values of the hexadecimal number system are powers of 16.We say that the hexadecimal number system has a base of 16.
why is there a “D” in a number?
there are 16 symbols in the hexadecimal
number system:0, …, 9, A, B, C, D, E, F
whereA = 10B = 11C = 12D = 13E = 14F = 15
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
2AB.516
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 2 A B 5
Place value
256 16 1 0.0625Place value
162 161 160 16-1
2AB.516
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 2 A B 5
Place value
256 16 1 0.0625Place value
162 161 160 16-1
2AB.516
.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 2 A B 5
Place value
256 16 1 0.0625Place value
162 161 160 16-1
2AB.516
.
