# Binary to Decimal Conversion

**Conversion binary to decimal and vice versa**: We multiply each binary digit by its weighted position, and add each of the weighted value together.

*Weight value:*

32 | 16 | 8 | 4 | 2 | 1 |

To convert decimal number into binary number, repeated division by 2 is needed. There is second method is also in which repeated subtraction by the weighted position value are applied.

**Q**. *Convert following decimal into binary numbers:*

(a) (45)_{10} = (101101)_{2}

** **

**Binary to Decimal Conversions:**

*Q. Convert following binary numbers in decimal equivalents.*

(a) 00111 (b) 01011 (c) 10100 (d) 11011

This is how we can convert** Binary number to Decimal Numbers** and Vice Versa.

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