Decimal to Octal Converter
To convert a decimal number to octal, divide the number by 8 repeatedly and collect the remainders. The octal number is formed by reading the remainders from bottom to top.
Octal Digit to Decimal Conversion Mapping
| Octal Digit | Decimal Value |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
Example: Convert Decimal 345 to Octal
| Division Step | Division Expression | Quotient | Remainder | Octal Digit |
|---|---|---|---|---|
| 1 | 345 ÷ 8 | 43 | 1 | 1 |
| 2 | 43 ÷ 8 | 5 | 3 | 3 |
| 3 | 5 ÷ 8 | 0 | 5 | 5 |
| Octal Result: | 531 | |||
The octal equivalent of the decimal number 345 is 531 .