Pages

Tuesday, September 22, 2015

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) 236(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


No comments:

Post a Comment