Quickly convert binary numbers to their decimal equivalents with this user-friendly tool. Simply input your binary number and get the decimal result instantly.
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