Convert Vigesimal (Base 20) to Binary (Base 2) with step-by-step solution.
0123456789ABCDEFGHIJEach digit × 20^position:
| Digit | Value | Position | Calculation | Result |
|---|---|---|---|---|
| 2 | 2 | 2 | 2 × 20^2 | 800 |
| 5 | 5 | 1 | 5 × 20^1 | 100 |
| 5 | 5 | 0 | 5 × 20^0 | 5 |
Divide by 2, collect remainders:
| Step | Dividend | ÷ 2 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 905 | ÷ 2 | 452 | 1 | 1 |
| 2 | 452 | ÷ 2 | 226 | 0 | 0 |
| 3 | 226 | ÷ 2 | 113 | 0 | 0 |
| 4 | 113 | ÷ 2 | 56 | 1 | 1 |
| 5 | 56 | ÷ 2 | 28 | 0 | 0 |
| 6 | 28 | ÷ 2 | 14 | 0 | 0 |
| 7 | 14 | ÷ 2 | 7 | 0 | 0 |
| 8 | 7 | ÷ 2 | 3 | 1 | 1 |
| 9 | 3 | ÷ 2 | 1 | 1 | 1 |
| 10 | 1 | ÷ 2 | 0 | 1 | 1 |
| Decimal | Vigesimal | Binary |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 10 |
| 3 | 3 | 11 |
| 4 | 4 | 100 |
| 5 | 5 | 101 |
| 6 | 6 | 110 |
| 7 | 7 | 111 |
| 8 | 8 | 1000 |
| 9 | 9 | 1001 |
| 10 | A | 1010 |
| 15 | F | 1111 |
| 16 | G | 10000 |
| 20 | 10 | 10100 |
| 32 | 1C | 100000 |
| Number System | Base | Value |
|---|---|---|
| Binary | 2 | 1110001001 |
| Octal | 8 | 1611 |
| Decimal | 10 | 905 |
| Hexadecimal | 16 | 389 |
| Ternary | 3 | 1020112 |
| Quaternary | 4 | 32021 |
| Quinary | 5 | 12110 |
| Senary | 6 | 4105 |
| Septenary | 7 | 2432 |
| Duodecimal | 12 | 635 |
| Duotrigesimal | 32 | S9 |
| Hexatrigesimal | 36 | P5 |
To convert from Vigesimal (base 20) to Binary (base 2), first convert to decimal, then convert from decimal to Binary.
Maya numeral system. Uses digits: 0123456789ABCDEFGHIJ
Used in computers and digital systems. Uses digits: 01