1101 Ternary to Binary
1101 ternary = 100101 binary
1101 written in binary is 10 0101, the number 37 in everyday decimal.
1101 ternary = 100101 binary
How to convert 1101 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 |
1 | 32 = 9 | 9 |
0 | 31 = 3 | 0 |
1 | 30 = 1 | 1 |
27 + 9 + 0 + 1 = 37
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) |
|---|---|---|
| 37 ÷ 2 | 18 | 1 |
| 18 ÷ 2 | 9 | 0 |
| 9 ÷ 2 | 4 | 1 |
| 4 ÷ 2 | 2 | 0 |
| 2 ÷ 2 | 1 | 0 |
| 1 ÷ 2 | 0 | 1 |
Result: 37 = 100101 in binary.
1101 (ternary) in other systems
| Decimal | 37 |
| Roman numerals | XXXVII |
| Hexadecimal | 25 |
| Octal | 45 |
| Duodecimal | 31 |
| Base 36 | 11 |
| Vigesimal | 1H |
| Quaternary | 211 |
| Quinary | 122 |
| Senary | 101 |
Nearby ternary to binary conversions
| 1012 to binary | 100000 |
| 1020 to binary | 100001 |
| 1021 to binary | 100010 |
| 1022 to binary | 100011 |
| 1100 to binary | 100100 |
| 1102 to binary | 100110 |
| 1110 to binary | 100111 |
| 1111 to binary | 101000 |
| 1112 to binary | 101001 |
| 1120 to binary | 101010 |
About the number 37
- 37 is an odd number.
- 37 is a prime number.
- Written in binary it needs 6 bits, so it fits in one byte.
Reverse conversion
Frequently asked questions
What is 1101 in binary?
1101 in ternary is 100101 in binary (the number 37 in decimal).