9 Decimal to Binary
9 decimal = 1001 binary
9 written in binary is 1001.
9 decimal = 1001 binary
How to convert 9 to binary
Decimal to binary
Divide by 2 repeatedly and keep the remainders. Reading the remainders from the last one to the first gives the binary digits:
| Division | Quotient | Remainder (digit) |
|---|---|---|
| 9 ÷ 2 | 4 | 1 |
| 4 ÷ 2 | 2 | 0 |
| 2 ÷ 2 | 1 | 0 |
| 1 ÷ 2 | 0 | 1 |
Result: 9 = 1001 in binary.
9 (decimal) in other systems
| Roman numerals | IX |
| Hexadecimal | 9 |
| Octal | 11 |
| Duodecimal | 9 |
| Ternary | 100 |
| Base 36 | 9 |
| Vigesimal | 9 |
| Quaternary | 21 |
| Quinary | 14 |
| Senary | 13 |
Nearby decimal to binary conversions
| 4 to binary | 100 |
| 5 to binary | 101 |
| 6 to binary | 110 |
| 7 to binary | 111 |
| 8 to binary | 1000 |
| 10 to binary | 1010 |
| 11 to binary | 1011 |
| 12 to binary | 1100 |
| 13 to binary | 1101 |
| 14 to binary | 1110 |
About the number 9
- 9 is an odd number.
- 9 is not a prime number.
- 9 is a perfect square: 3 × 3.
- Written in binary it needs 4 bits, so it fits in one byte.
Reverse conversion
Frequently asked questions
What is 9 in binary?
9 in decimal is 1001 in binary.