How to Convert Octal to Decimal
Octal to Decimal conversion is an important concept in number systems. Here is a simple method to convert an octal number to decimal.
Steps to Convert Octal to Decimal:
- Write down the octal number.
- Multiply each digit by 8 raised to its position index (starting from 0 at the right).
- Sum all the values to get the decimal equivalent.
Example: Convert 144 (Octal) to Decimal
| Octal Digit | Position (Power of 8) | Calculation | Result |
|---|
| 1 | 2 | 1 x 82 | 64 |
| 4 | 1 | 4 x 81 | 32 |
| 4 | 0 | 4 x 80 | 4 |
Decimal Result: 100
Quick Tip
Always start from the rightmost digit (least significant digit) and move towards the left, multiplying each digit by increasing powers of 8.
Practice Questions
- Convert 27 (Octal) to Decimal.
- Convert 63 (Octal) to Decimal.
- Convert 205 (Octal) to Decimal.
