Decimal to Binary Converter
How to convert Decimal to Binary
Divide the decimal number by 2 repeatedly and read remainders from bottom to top.
Divide by 2, collect remainders
Keep dividing by 2 and note the remainder:
10 ÷ 2 = 5 R 0 → 5 ÷ 2 = 2 R 1 → 2 ÷ 2 = 1 R 0 → 1 ÷ 2 = 0 R 1 → Result: 1010₂
Example
Convert 10 to binary:
10₁₀ = 1010₂
Decimal to Binary Converter table
| Decimal () | Binary () |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 5 | 101 |
| 6 | 110 |
| 7 | 111 |
| 8 | 1000 |
| 9 | 1001 |
| 10 | 1010 |
| 11 | 1011 |
| 12 | 1100 |
| 13 | 1101 |
| 14 | 1110 |
| 15 | 1111 |
| 16 | 10000 |
| 32 | 100000 |
| 64 | 1000000 |
| 128 | 10000000 |
| 255 | 11111111 |