Decimal to Octal Converter
Convert decimal numbers to octal format instantly. Just enter any decimal number and get the octal equivalent along with step-by-step explanation.
Conversion Results
How Decimal to Octal Conversion Works
Octal is a base-8 number system that uses digits 0-7. To convert a decimal number (base-10) to octal:
- Divide the decimal number by 8
- Record the remainder (this will be the least significant digit)
- Use the quotient from the previous step and divide by 8 again
- Record the new remainder
- Repeat until the quotient is 0
- The octal equivalent is the sequence of remainders read from last to first
Example conversion for decimal 255:
| Division | Quotient | Remainder |
|---|---|---|
| 255 ÷ 8 | 31 | 7 |
| 31 ÷ 8 | 3 | 7 |
| 3 ÷ 8 | 0 | 3 |
Reading the remainders from bottom to top gives us the octal equivalent: 377
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