1. Number system is a system which is used to
represent a number in different formats.
2. There are four types of number systems. They are:
a.
Binary number system
b.
Octal number system
c.
Decimal number system
d.
Hexadecimal number system.
3. In binary number system there will be only 2
digits, they are 0 and 1.
4. The base for binary number system is 2.
5. In octal number system there will be 8 digits, they are 0 to 7.
6. The base for octal number system is 8.
7. In decimal number system there will be 10 digits, they are 0 to 9.
8. The base for decimal number system is 10.
9. In hexadecimal number system there will be 16
digits, they are 0 to F.
10. The base for hexadecimal number system is 16.
11. We can represent different types of number systems in the following table.
Number System
|
Base
|
First
Digit
|
Last
Digit
|
All digits/characters
|
Binary
|
2
|
0
|
1
|
0,1
|
Octal
|
8
|
0
|
7
|
0,1------7
|
Decimal
|
10
|
0
|
9
|
0,1------9
|
Hexadecimal
|
16
|
0
|
F
|
0,1------F
|
12. We can represent the octal number in binary number system as shown in the following table
Octal
|
Binary
|
0
|
000
|
1
|
001
|
2
|
010
|
3
|
011
|
4
|
100
|
5
|
101
|
6
|
110
|
7
|
111
|
13. We can represent the hexadecimal number in binary number system as shown in the following table
Hexadecimal
|
Binary
|
0
|
0000
|
1
|
0001
|
2
|
0010
|
3
|
0011
|
4
|
0100
|
5
|
0101
|
6
|
0110
|
7
|
0111
|
8
|
1000
|
9
|
1001
|
A
|
1010
|
B
|
1011
|
C
|
1100
|
D
|
1101
|
E
|
1110
|
F
|
1111
|
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