Number systems

Number systems

1.       Decimal number system

2.       Binary number system

3.       Octal number system

4.       Hexa decimal number system

Decimal number system:

·         There are 10 characters namely 0,1,2,3,4,5,6,7,8,9 and the base is 10.

·         Example:  (i)(0.7)₁₀    (ii) (24)₁₀

Binary number system:

·         There are 2 characters namely 0 and 1, and the base is 2.

·         Example:  (i) 1100₂  (ii) 110.11₂

Octal number system:

·         There are 8 characters namely 0,1,2,3,4,5,6,7 and the base is 8.

·         Example: (i) 236₈  (ii) 566₈

Hexadecimal number system:

·         There are16 characters, namely 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F and the base is 16.

·         Example: B86₁₆  (ii) 1A2.8₁₆

Relation among different number systems

Decimal	Binary	Octal	Hexadecimal
0	0000	00	0
1	0001	01	1
2	0010	02	2
3	0011	03	3
4	0100	04	4
5	0101	05	5
6	0110	06	6
7	0111	07	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