How To Convert Octal To Decimal Number System?

 **How to Convert Octal to Decimal Number System**

Converting an octal number (base-8) to a decimal number (base-10) involves understanding the positional value of each digit. The octal system uses digits ranging from 0 to 7, where each position represents a power of 8, starting from right to left.

To convert, follow this step-by-step method:

1. **Write down the octal number** and label the positions from right to left, starting with power 0.
2. **Multiply each digit** by 8 raised to the power of its position.
3. **Add all the products** to get the decimal equivalent.

For example, to convert octal 237 to decimal:

* 2 × 8² = 2 × 64 = 128
* 3 × 8¹ = 3 × 8 = 24
* 7 × 8⁰ = 7 × 1 = 7

Now, add: 128 + 24 + 7 = **159**

So, octal 237 equals decimal 159.

This method can be applied to any octal number. It's essential in digital electronics and computer systems, where data is often handled in base-8 due to its straightforward representation of binary data. Understanding this conversion enhances numerical literacy in computing and software development.