Convert Senary (Base 6) to Binary (Base 2) with step-by-step solution.
012345Each digit × 6^position:
| Digit | Value | Position | Calculation | Result |
|---|---|---|---|---|
| 2 | 2 | 2 | 2 × 6^2 | 72 |
| 5 | 5 | 1 | 5 × 6^1 | 30 |
| 5 | 5 | 0 | 5 × 6^0 | 5 |
Divide by 2, collect remainders:
| Step | Dividend | ÷ 2 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 107 | ÷ 2 | 53 | 1 | 1 |
| 2 | 53 | ÷ 2 | 26 | 1 | 1 |
| 3 | 26 | ÷ 2 | 13 | 0 | 0 |
| 4 | 13 | ÷ 2 | 6 | 1 | 1 |
| 5 | 6 | ÷ 2 | 3 | 0 | 0 |
| 6 | 3 | ÷ 2 | 1 | 1 | 1 |
| 7 | 1 | ÷ 2 | 0 | 1 | 1 |
| Decimal | Senary | Binary |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 10 |
| 3 | 3 | 11 |
| 4 | 4 | 100 |
| 5 | 5 | 101 |
| 6 | 10 | 110 |
| 7 | 11 | 111 |
| 8 | 12 | 1000 |
| 9 | 13 | 1001 |
| 10 | 14 | 1010 |
| 15 | 23 | 1111 |
| 16 | 24 | 10000 |
| 20 | 32 | 10100 |
| 32 | 52 | 100000 |
| Number System | Base | Value |
|---|---|---|
| Binary | 2 | 1101011 |
| Octal | 8 | 153 |
| Decimal | 10 | 107 |
| Hexadecimal | 16 | 6B |
| Ternary | 3 | 10222 |
| Quaternary | 4 | 1223 |
| Quinary | 5 | 412 |
| Septenary | 7 | 212 |
| Duodecimal | 12 | 8B |
| Vigesimal | 20 | 57 |
| Duotrigesimal | 32 | 3B |
| Hexatrigesimal | 36 | 2Z |
To convert from Senary (base 6) to Binary (base 2), first convert to decimal, then convert from decimal to Binary.
Highest 1-digit prime base. Uses digits: 012345
Used in computers and digital systems. Uses digits: 01