Computer Number Systems
What are the
number systems ?
Number systems are the
technique to represent numbers in the computer system architecture, every value
that you are saving or getting into/from computer memory has a defined number
system.
Computer architecture supports following number
systems.
- Binary
number system
- Octal
number system
- Decimal
number system
- Hexadecimal
(hex) number system
1) Binary Number System
A Binary number system has only two digits that are 0 and 1. Every number (value) represents
with 0 and 1 in this number system. The base of binary number system is 2,
because it has only two digits.
2) Octal number system
Octal number system has only eight (8) digits from 0 to 7. Every number (value)
represents with 0,1,2,3,4,5,6 and 7 in this number system. The base of octal
number system is 8, because it has only 8 digits.
3) Decimal number system
Decimal number system has only ten (10) digits from 0 to 9. Every number (value)
represents with 0,1,2,3,4,5,6, 7,8 and 9 in this number system. The base of
decimal number system is 10, because it has only 10 digits.
4) Hexadecimal number system
A Hexadecimal number system has sixteen (16) alphanumeric values
from 0 to 9 and A to F. Every number (value) represents with
0,1,2,3,4,5,6, 7,8,9,A,B,C,D,E and F in this number system. The base of
hexadecimal number system is 16, because it has 16 alphanumeric values. Here A is 10, B
is 11, C is 12, D is 13, E
is 14 and F is 15.
|
Number system
|
Base
|
Used digits
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Example
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C Language assignment
|
|
Binary
|
2
|
0,1
|
(11110000)2
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int val=0b11110000;
|
|
Octal
|
8
|
0,1,2,3,4,5,6,7
|
(360)8
|
int val=0360;
|
|
Decimal
|
10
|
0,1,2,3,4,5,6,7,8,9
|
(240)10
|
int val=240;
|
|
Hexadecimal
|
16
|
0,1,2,3,4,5,6,7,8,9,
A,B,C,D,E,F |
(F0)16
|
int val=0xF0;
|
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