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 24) + (0 x 23) + (1 x 22) + (0 x 21) + (1 x 20))10
Step 2	101012	(16 + 0 + 4 + 0 + 1)10
Step 3	101012	2110

Note : 10101₂ is normally written as 10101.