1001 Binary to Ternary
1001 binary = 100 ternary
1001 written in ternary is 100, the number 9 in everyday decimal.
1001 binary = 100 ternary
How to convert 1001 to ternary
Step 1: Binary to decimal
Multiply each digit by 2 to the power of its position (0 on the right), then add:
| Digit | Place value | Digit × place |
|---|---|---|
1 | 23 = 8 | 8 |
0 | 22 = 4 | 0 |
0 | 21 = 2 | 0 |
1 | 20 = 1 | 1 |
8 + 0 + 0 + 1 = 9
Step 2: Decimal to ternary
Divide by 3 repeatedly and keep the remainders. Reading the remainders from the last one to the first gives the ternary digits:
| Division | Quotient | Remainder (digit) |
|---|---|---|
| 9 ÷ 3 | 3 | 0 |
| 3 ÷ 3 | 1 | 0 |
| 1 ÷ 3 | 0 | 1 |
Result: 9 = 100 in ternary.
1001 (binary) in other systems
| Decimal | 9 |
| Roman numerals | IX |
| Hexadecimal | 9 |
| Octal | 11 |
| Duodecimal | 9 |
| Base 36 | 9 |
| Vigesimal | 9 |
| Quaternary | 21 |
| Quinary | 14 |
| Senary | 13 |
Nearby binary to ternary conversions
| 100 to ternary | 11 |
| 101 to ternary | 12 |
| 110 to ternary | 20 |
| 111 to ternary | 21 |
| 1000 to ternary | 22 |
| 1010 to ternary | 101 |
| 1011 to ternary | 102 |
| 1100 to ternary | 110 |
| 1101 to ternary | 111 |
| 1110 to ternary | 112 |
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 1001 in ternary?
1001 in binary is 100 in ternary (the number 9 in decimal).