Decimal to Octal Converter
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Quick Examples
Enter a decimal value to see the conversion steps here.
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Decimal to Octal Converter
A Decimal to Octal Converter helps convert decimal numbers (base-10) into octal numbers (base-8). Octal numbers are commonly used in computer science, digital electronics, and Unix file permissions.
Divide the decimal number by 8 repeatedly, write down the remainders, and read them from bottom to top to get the octal number.
What Is the Decimal Number System?
The decimal number system is the number system we use in daily life. It is based on 10 digits (0 to 9).
What Is the Octal Number System?
The octal number system is a base-8 number system. It uses only 8 digits (0 to 7).
How to Convert Decimal to Octal
- Divide the decimal number by 8
- Write the remainder
- Divide the quotient again by 8
- Repeat until the quotient becomes 0
- Read the remainders from bottom to top
Example: Convert 25 (Decimal) to Octal
Decimal to Octal Conversion Table
| Decimal | Octal |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 7 | 7 |
| 8 | 10 |
| 10 | 12 |
| 16 | 20 |
| 20 | 24 |
| 50 | 62 |
| 64 | 100 |
| 100 | 144 |
FAQ on Decimal to Octal Converter
Decimal to octal conversion is the process of converting a base-10 number into a base-8 number using digits from 0 to 7.
Octal is easier to read than binary and maps directly to binary digits, making it useful in early computing and Unix systems.
The easiest way is dividing the decimal number by 8 repeatedly and reading the remainders from bottom to top.