Convert decimal numbers (base-10) to binary numbers (base-2) with step-by-step division method
Start with the decimal number you want to convert
Divide the number by 2 and record the quotient and remainder
Continue dividing the quotient by 2 until you get 0
The binary equivalent is the remainders read in reverse order
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Reading remainders from bottom to top: 1101₂
| Decimal | Binary |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 10 |
| 3 | 11 |
| 4 | 100 |
| 8 | 1000 |
| 16 | 10000 |
| 32 | 100000 |
| 64 | 1000000 |
| 128 | 10000000 |
| 255 | 11111111 |
