Binary to Decimal Converter
Effortlessly convert binary numbers to decimal. Our online tool provides instant and accurate conversions. Understand binary to decimal conversion with visualizations and examples.
Binary to Decimal Converter
Conversion Visualization
| Bit | Position (Power of 2) | Calculation | Value |
|---|---|---|---|
| × 2 | |||
| Total Decimal Value: | |||
Understanding Binary to Decimal Conversion
Binary to decimal conversion is the process of converting a number written in base-2 (binary) to its equivalent base-10 (decimal) representation. In the binary system, numbers are expressed using only two digits: 0 and 1. Each position in a binary number represents a power of 2, starting from 20 on the rightmost side.
To convert binary to decimal, you multiply each binary digit by its corresponding power of 2 and sum up these values. For example, to convert binary '1011' to decimal: (1 × 23) + (0 × 22) + (1 × 21) + (1 × 20) = 8 + 0 + 2 + 1 = 11. This tool simplifies this process, providing instant and accurate conversions for any binary number you input.
Example:
- Binary: 110101
- Decimal: 53