Instantly convert binary numbers (base-2) to decimal numbers (base-10). Simple, fast, and accurate binary to decimal calculator.
Type or paste your binary number into the input field. Only digits 0 and 1 are accepted.
Press the convert button to instantly transform your binary to decimal format.
See the decimal result along with detailed calculation steps showing how the binary to decimal conversion works.
Reference the binary to decimal chart for quick lookups of common values.
Binary to decimal conversion is the process of translating a number from the binary system (base-2) to the decimal system (base-10). The binary system uses only two digits, 0 and 1, while the decimal system uses ten digits, 0 through 9. This binary to decimal converter makes this process automatic and instant.
To convert binary to decimal manually, you need to multiply each binary digit by 2 raised to the power of its position (starting from 0 on the right). For example, to convert binary 101 to decimal:
While manual conversion is good for learning, a binary to decimal calculator is essential for speed and accuracy in programming and digital electronics. Our tool provides a quick binary to decimal chart and detailed steps to help you understand the process.
| Binary | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 10 | 2 |
| 11 | 3 |
| 100 | 4 |
| 101 | 5 |
| 110 | 6 |
| 111 | 7 |
| 1000 | 8 |
| 1001 | 9 |
| 1010 | 10 |
| 1011 | 11 |
| 1100 | 12 |
| 1101 | 13 |
| 1110 | 14 |
| 1111 | 15 |
Convert binary to decimal numbers in milliseconds with our optimized calculator.
Understand the conversion process with detailed calculation steps for educational purposes.
Quick reference table showing common binary to decimal conversions from 0 to 15.
Convert binary numbers of any length to decimal format without restrictions.
Use this binary to decimal converter completely free, no installation required.
Access our binary to decimal calculator from any device, anywhere.