Octal to Decimal Converter
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Quick Examples
Enter an octal value to see the conversion steps here.
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Octal to Decimal Converter
An Octal to Decimal Converter helps convert octal numbers (base-8) into decimal numbers (base-10). This conversion is commonly used in computer science, digital electronics, and number-system studies.
Multiply each octal digit by its corresponding power of 8 and add all the values to get the decimal number.
What Is the Octal Number System?
The octal number system is a base-8 number system. It uses only eight digits: 0 to 7. Each position in an octal number represents a power of 8.
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).
How to Convert Octal to Decimal
- Write the octal number
- Assign powers of 8 to each digit from right to left
- Multiply each octal digit by its power of 8
- Add all the values
- The final sum is the decimal number
Example: Convert 175 (Octal) to Decimal
| Octal Digit | Power of 8 | Value |
|---|---|---|
| 1 | 8² | 64 |
| 7 | 8¹ | 56 |
| 5 | 8⁰ | 5 |
175₈ = 125₁₀
<img src="/assets/images/octal-to-decimal-conversion-table.jpg" alt="Octal to decimal conversion example showing step by step calculation using powers of 8 with an octal to decimal conversion table" class="img-fluid p-4"loading="lazy">Octal to Decimal Conversion Table
| Octal | Decimal |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 10 | 8 |
| 11 | 9 |
| 12 | 10 |
| 20 | 16 |
| 50 | 40 |
| 100 | 64 |
FAQ on Octal to Decimal Converter
Octal to decimal conversion is the process of converting a base-8 number into a base-10 number using powers of 8.
Because the octal number system is base-8, each digit represents a power of 8.
The easiest way is multiplying each octal digit by its corresponding power of 8 and then adding all the values.