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Binary to Decimal Converter
Free online binary to decimal converter. Instantly convert binary numbers to decimal with step-by-step explanation and conversion table.
Convert Binary to Decimal
Enter a binary (base 2) number and instantly get its decimal (base 10) equivalent. Also converts in the other direction — enter decimal to get binary.
How to convert binary to decimal
Multiply each binary digit by 2 raised to the power of its position (counting from the right, starting at 0), then sum the results.
For example, 1101 in binary: (1×2³) + (1×2²) + (0×2¹) + (1×2⁰) = 8 + 4 + 0 + 1 = 13.
Binary to decimal conversion table
| 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 |
| 10000 | 16 |
| 100000 | 32 |
| 1000000 | 64 |
| 10000000 | 128 |
| 11111111 | 255 |
| 100000000 | 256 |
| 1000000000 | 512 |
| 10000000000 | 1024 |