Binary to Decimal Converter
Convert binary to decimal instantly — type on the left and the result appears on the right. Everything runs in your browser, nothing is uploaded.
How to convert binary to decimal
Binary uses only 0 and 1, and each place is worth twice the one to its right. To read a binary number as an ordinary (decimal) number, add up the place values wherever there is a 1.
Formula: value = d₀ + d₁×2 + d₂×2² + … (each digit times a power of 2).
- Give each digit its place valueReading from the right, the places are powers of 2: 1, 2, 4, 8 and so on.
- Note each digit's valueEach digit is a number from 0 to 1.
- Multiply and addMultiply each digit by its place value and add the totals to get the decimal number.
Examples 11010 = 2611111111 = 255
Binary to Decimal Table
Common binary values with their decimal equivalents.
| 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 |
| 10100 | 20 |
| 100000 | 32 |
| 110010 | 50 |
| 1000000 | 64 |
| 1100100 | 100 |
| 10000000 | 128 |
| 11111111 | 255 |
| 100000000 | 256 |
| 1000000000 | 512 |
| 1111101000 | 1000 |
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Frequently asked questions
How do you convert binary to decimal?
Give each bit a place value that doubles from the right — 1, 2, 4, 8, 16 and so on — then add the place values wherever the bit is 1. For 1101 that is 8 + 4 + 1 = 13.
What is 1010 in decimal?
1010 in binary is 10 in decimal, because 8 + 2 = 10.
What is the largest 8-bit binary number in decimal?
11111111 is 255 — the largest value a single byte can hold.