Octal to Decimal Conversion Calculator
Octal is a base-8 number system, using digits from 0 to 7. It's commonly used in computer science, particularly for simplifying binary values. This tool allows you to convert an octal number to its decimal equivalent, and we'll also walk you through the conversion process with examples.
What Is the Octal System?
Octal is a base-8 number system, meaning it uses digits from 0 to 7. It's often used in programming and computer science to make large binary numbers more manageable, as three binary digits can be represented by a single octal digit.
157₈= 1×8² + 5×8¹ + 7×8⁰ = 111₁₀ (Decimal)
What Is the Decimal System?
Decimal is a base-10 system, which uses the digits 0 to 9. It’s the standard system for denoting integer and non-integer numbers. In computing, the decimal system is often used to represent human-readable numbers, but conversions are made to binary or octal for processing within the computer's hardware.
111= 1×10² + 1×10¹ + 1×10⁰ = 111₁₀
Octal to Decimal Conversion Method
To convert an octal number into decimal, you can use this simple method:
- Start with the octal number.
- Multiply each digit by the corresponding power of 8, based on its position.
- Add up the results to get the decimal equivalent.
157₈ to decimal:1×8² + 5×8¹ + 7×8⁰ = 111₁₀
Octal to Decimal Conversion Table
| Octal | Decimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 5 | 5 |
| 7 | 7 |
| 11₈ | 9₁₀ |
| 22₈ | 18₁₀ |
| 45₈ | 37₁₀ |
| 157₈ | 111₁₀ |
| 100₈ | 64₁₀ |