Convert Hexadecimal (Base 16) to Octal (Base 8) with step-by-step solution.
0123456789ABCDEFEach digit × 16^position:
| Digit | Value | Position | Calculation | Result |
|---|---|---|---|---|
| 2 | 2 | 2 | 2 × 16^2 | 512 |
| 5 | 5 | 1 | 5 × 16^1 | 80 |
| 5 | 5 | 0 | 5 × 16^0 | 5 |
Divide by 8, collect remainders:
| Step | Dividend | ÷ 8 | Quotient | Remainder | Digit |
|---|---|---|---|---|---|
| 1 | 597 | ÷ 8 | 74 | 5 | 5 |
| 2 | 74 | ÷ 8 | 9 | 2 | 2 |
| 3 | 9 | ÷ 8 | 1 | 1 | 1 |
| 4 | 1 | ÷ 8 | 0 | 1 | 1 |
| Decimal | Hexadecimal | Octal |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 1 | 1 |
| 2 | 2 | 2 |
| 3 | 3 | 3 |
| 4 | 4 | 4 |
| 5 | 5 | 5 |
| 6 | 6 | 6 |
| 7 | 7 | 7 |
| 8 | 8 | 10 |
| 9 | 9 | 11 |
| 10 | A | 12 |
| 15 | F | 17 |
| 16 | 10 | 20 |
| 20 | 14 | 24 |
| 32 | 20 | 40 |
| Number System | Base | Value |
|---|---|---|
| Binary | 2 | 1001010101 |
| Octal | 8 | 1125 |
| Decimal | 10 | 597 |
| Ternary | 3 | 211010 |
| Quaternary | 4 | 21111 |
| Quinary | 5 | 4342 |
| Senary | 6 | 2433 |
| Septenary | 7 | 1512 |
| Duodecimal | 12 | 419 |
| Vigesimal | 20 | 19H |
| Duotrigesimal | 32 | IL |
| Hexatrigesimal | 36 | GL |
To convert from Hexadecimal (base 16) to Octal (base 8), first convert to decimal, then convert from decimal to Octal.
Used in programming and colors. Uses digits: 0123456789ABCDEF
Used in Unix file permissions. Uses digits: 01234567