Binary to Decimal Converter
To convert a binary number to decimal, multiply each binary digit by its corresponding power of 2 and sum the results. The binary number is represented by powers of 2 from right to left.
Example: Convert Binary 1011 to Decimal
Binary Digit | Place Value (Power of 2) | Calculation | Result |
---|---|---|---|
1 | 2 3 = 8 | 1 × 8 | 8 |
0 | 2 2 = 4 | 0 × 4 | 0 |
1 | 2 1 = 2 | 1 × 2 | 2 |
1 | 2 0 = 1 | 1 × 1 | 1 |
Total: | 11 |
The decimal equivalent of the binary number 1011 is 11 .