Download - Math1003 1.7 - Hexadecimal Number System
![Page 1: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/1.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.7The HexadecimalNumber System
![Page 2: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/2.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To know the place values ofthe hexadecimal number system.
![Page 3: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/3.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
![Page 4: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/4.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
4D5816
![Page 5: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/5.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 6: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/6.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 7: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/7.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 8: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/8.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 9: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/9.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 10: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/10.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 11: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/11.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 12: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/12.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 13: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/13.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
Digit(Face value) 4 D 5 8
Place value
4096 256 16 1Place value
163 162 161 160
4D5816
![Page 14: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/14.jpg)
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.
![Page 15: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/15.jpg)
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?
![Page 16: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/16.jpg)
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
![Page 17: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/17.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
![Page 18: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/18.jpg)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Hexadecimal Number System
2AB.516
![Page 19: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/19.jpg)
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
.
![Page 20: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/20.jpg)
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
.
![Page 21: Math1003 1.7 - Hexadecimal Number System](https://reader034.vdocument.in/reader034/viewer/2022052323/55895e1ad8b42a4f3f8b4716/html5/thumbnails/21.jpg)
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
.