### Number System

Number systems are the technique to represent numbers through naming them. It provides a singular representation to explain numbers.
Computer architecture supports the subsequent number systems:

• Binary Number System

• Octal Number System

• Decimal Number System

Binary Number System:
The numbers within the binary number system have a base 2 because it only uses two numbers - 0 & 1. The zeroes and ones compose into bits. 8 bits form a byte.

Example: 1010, 11001, 100010.

Here,
1010 represents 10.
11001 represents 25.
100010 represents 34.
(In decimal)

Octal Number System:
The numbers within the octal number system have a base 8 because it uses 8 numbers from 0 to 7. Each value is represented using the numbers 0,1,2,3,4,5,6,7.

Example: 20, 124, 256.

Here,
20 represents 16.
124 represents 84.
256 represents 174.
(In decimal)

Decimal Number System:

• The numbers within the decimal number system have a base 10. It uses 0 to 9 to represent numbers. Each value is represented using the numbers 0,1,2,3,4,5,6,7,8,9.

• The decimal number system is employed in reality and any number with none base specified is taken into account to be decimal.

Example: 10, 150, 200