1000 Quaternary to Ternary
1000 quaternary = 2101 ternary
1000 written in ternary is 2101, the number 64 in everyday decimal.
1000 quaternary = 2101 ternary
How to convert 1000 to ternary
Step 1: Quaternary to decimal
Multiply each digit by 4 to the power of its position (0 on the right), then add:
| Digit | Place value | Digit × place |
|---|---|---|
1 | 43 = 64 | 64 |
0 | 42 = 16 | 0 |
0 | 41 = 4 | 0 |
0 | 40 = 1 | 0 |
64 + 0 + 0 + 0 = 64
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) |
|---|---|---|
| 64 ÷ 3 | 21 | 1 |
| 21 ÷ 3 | 7 | 0 |
| 7 ÷ 3 | 2 | 1 |
| 2 ÷ 3 | 0 | 2 |
Result: 64 = 2101 in ternary.
1000 (quaternary) in other systems
| Binary | 1000000 |
| Decimal | 64 |
| Roman numerals | LXIV |
| Hexadecimal | 40 |
| Octal | 100 |
| Duodecimal | 54 |
| Base 36 | 1S |
| Vigesimal | 34 |
| Quinary | 224 |
| Senary | 144 |
Nearby quaternary to ternary conversions
| 323 to ternary | 2012 |
| 330 to ternary | 2020 |
| 331 to ternary | 2021 |
| 332 to ternary | 2022 |
| 333 to ternary | 2100 |
| 1001 to ternary | 2102 |
| 1002 to ternary | 2110 |
| 1003 to ternary | 2111 |
| 1010 to ternary | 2112 |
| 1011 to ternary | 2120 |
About the number 64
- 64 is an even number.
- 64 is not a prime number.
- 64 is a power of two: 26.
- 64 is a perfect square: 8 × 8.
- Written in binary it needs 7 bits, so it fits in one byte.
Reverse conversion
Frequently asked questions
What is 1000 in ternary?
1000 in quaternary is 2101 in ternary (the number 64 in decimal).