1012 Ternary to Binary
1012 ternary = 100000 binary
1012 written in binary is 10 0000, the number 32 in everyday decimal.
1012 ternary = 100000 binary
How to convert 1012 to binary
Step 1: Ternary to decimal
Multiply each digit by 3 to the power of its position (0 on the right), then add:
| Digit | Place value | Digit × place |
|---|---|---|
1 | 33 = 27 | 27 |
0 | 32 = 9 | 0 |
1 | 31 = 3 | 3 |
2 | 30 = 1 | 2 |
27 + 0 + 3 + 2 = 32
Step 2: 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) |
|---|---|---|
| 32 ÷ 2 | 16 | 0 |
| 16 ÷ 2 | 8 | 0 |
| 8 ÷ 2 | 4 | 0 |
| 4 ÷ 2 | 2 | 0 |
| 2 ÷ 2 | 1 | 0 |
| 1 ÷ 2 | 0 | 1 |
Result: 32 = 100000 in binary.
1012 (ternary) in other systems
| Decimal | 32 |
| Roman numerals | XXXII |
| Hexadecimal | 20 |
| Octal | 40 |
| Duodecimal | 28 |
| Base 36 | W |
| Vigesimal | 1C |
| Quaternary | 200 |
| Quinary | 112 |
| Senary | 52 |
Nearby ternary to binary conversions
| 1000 to binary | 11011 |
| 1001 to binary | 11100 |
| 1002 to binary | 11101 |
| 1010 to binary | 11110 |
| 1011 to binary | 11111 |
| 1020 to binary | 100001 |
| 1021 to binary | 100010 |
| 1022 to binary | 100011 |
| 1100 to binary | 100100 |
| 1101 to binary | 100101 |
About the number 32
- 32 is an even number.
- 32 is not a prime number.
- 32 is a power of two: 25.
- Written in binary it needs 6 bits, so it fits in one byte.
Reverse conversion
Frequently asked questions
What is 1012 in binary?
1012 in ternary is 100000 in binary (the number 32 in decimal).