Math1003 1.7 - Hexadecimal Number System

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

.