Lec 3

1.3.5 Hexadecimal numeration system:
The hexadecimal numeration system is a place weighted system with a base of sixteen. Valid ciphers include the normal decimal symbols “0”,”1”,”2”,”3”,”4”,”5”,”6”,”7”;”8”;9” plus six alphabetical characters A, B, C, D, E, and F. The following table summarizes the equivalence between decimal, binary, octal and hexadecimal systems.


Decimal Binary Octal Hexadecimal
0 0000 0 0
1 0001 1 1
2 0010 2 2
3 0011 3 3
4 0100 4 4
5 0101 5 5
6 0110 6 6
7 0111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F

To convert from binary to hexadecimal numeration, we group bits in fours.
Each group of four bit is replaced by its hexadecimal equivalent.


1.3.5 Hexadecimal numeration system:
The hexadecimal numeration system is a place weighted system with a base of sixteen. Valid ciphers include the normal decimal symbols “0”,”1”,”2”,”3”,”4”,”5”,”6”,”7”;”8”;9” plus six alphabetical characters A, B, C, D, E, and F. The following table summarizes the equivalence between decimal, binary, octal and hexadecimal systems.


Decimal Binary Octal Hexadecimal
0 0000 0 0
1 0001 1 1
2 0010 2 2
3 0011 3 3
4 0100 4 4
5 0101 5 5
6 0110 6 6
7 0111 7 7
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F

To convert from binary to hexadecimal numeration, we group bits in fours.
Each group of four bit is replaced by its hexadecimal equivalent.