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
|
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