Convert Decimal (Base 10) to Binary (Base 2) with step-by-step solution.
0123456789Divide by 2, collect remainders:
| Step | Dividend | ÷ 2 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 255 | ÷ 2 | 127 | 1 | 1 |
| 2 | 127 | ÷ 2 | 63 | 1 | 1 |
| 3 | 63 | ÷ 2 | 31 | 1 | 1 |
| 4 | 31 | ÷ 2 | 15 | 1 | 1 |
| 5 | 15 | ÷ 2 | 7 | 1 | 1 |
| 6 | 7 | ÷ 2 | 3 | 1 | 1 |
| 7 | 3 | ÷ 2 | 1 | 1 | 1 |
| 8 | 1 | ÷ 2 | 0 | 1 | 1 |
| Decimal | Decimal | Binary |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 10 |
| 3 | 3 | 11 |
| 4 | 4 | 100 |
| 5 | 5 | 101 |
| 6 | 6 | 110 |
| 7 | 7 | 111 |
| 8 | 8 | 1000 |
| 9 | 9 | 1001 |
| 10 | 10 | 1010 |
| 15 | 15 | 1111 |
| 16 | 16 | 10000 |
| 20 | 20 | 10100 |
| 32 | 32 | 100000 |
| Number System | Base | Value |
|---|---|---|
| Binary | 2 | 11111111 |
| Octal | 8 | 377 |
| Hexadecimal | 16 | FF |
| Ternary | 3 | 100110 |
| Quaternary | 4 | 3333 |
| Quinary | 5 | 2010 |
| Senary | 6 | 1103 |
| Septenary | 7 | 513 |
| Duodecimal | 12 | 193 |
| Vigesimal | 20 | CF |
| Duotrigesimal | 32 | 7V |
| Hexatrigesimal | 36 | 73 |
To convert from Decimal (base 10) to Binary (base 2), divide repeatedly by 2 and collect remainders.
Standard number system. Uses digits: 0123456789
Used in computers and digital systems. Uses digits: 01