Convert Vigesimal (Base 20) to Ternary (Base 3) 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 3, collect remainders:
| Step | Dividend | ÷ 3 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 905 | ÷ 3 | 301 | 2 | 2 |
| 2 | 301 | ÷ 3 | 100 | 1 | 1 |
| 3 | 100 | ÷ 3 | 33 | 1 | 1 |
| 4 | 33 | ÷ 3 | 11 | 0 | 0 |
| 5 | 11 | ÷ 3 | 3 | 2 | 2 |
| 6 | 3 | ÷ 3 | 1 | 0 | 0 |
| 7 | 1 | ÷ 3 | 0 | 1 | 1 |
| Decimal | Vigesimal | Ternary |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 2 |
| 3 | 3 | 10 |
| 4 | 4 | 11 |
| 5 | 5 | 12 |
| 6 | 6 | 20 |
| 7 | 7 | 21 |
| 8 | 8 | 22 |
| 9 | 9 | 100 |
| 10 | A | 101 |
| 15 | F | 120 |
| 16 | G | 121 |
| 20 | 10 | 202 |
| 32 | 1C | 1012 |
| 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 Ternary (base 3), first convert to decimal, then convert from decimal to Ternary.
Maya numeral system. Uses digits: 0123456789ABCDEFGHIJ
Three-valued logic. Uses digits: 012