Binary Number System

Characteristics of binary number system are as follows:

● Uses two digits, 0 and 1.

● Also called base 2 number system

● Each position in a binary number represents a 0 power of the base (2). Example 2⁰

● Last position in a binary number represents a x power of the base (2). Example 2^x where x represents the last position - 1.

Example

Binary Number : 10101₂

Calculating Decimal Equivalent:

Step	Binary Number	Decimal Number
Step 1	101012	((1 x 2^4) + (0 x 2^3) + (1 x 2^2) + (0 x 2^1) + (1 x 2^0))10
Step 2	101012	(16 + 0 + 4 + 0 + 1)10
Step 3	101012	2110

Note : 10101₂ is normally written as 10101.