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 2x 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.
