# 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:

 $2^5$ $2^4$ $2^3$ $2^2$ $2^1$ $2^0$ 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

Decimal to Binary conversion

Binary to Decimal Conversions:

Binary to Decimal Conversion

Q. Convert following binary numbers in decimal equivalents.

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

Binary- Decimal Conversion

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

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