How to Convert Binary to Decimal
Binary to Decimal conversion is an essential concept in number systems. Here is a simple method to convert a binary number to decimal.
Steps to Convert Binary to Decimal:
- Write down the binary number.
- Multiply each bit by 2 raised to its position index (starting from 0 at the right).
- Sum all the values to get the decimal equivalent.
Example: Convert 11001 to Decimal
| Binary Digit | Position (Power of 2) | Calculation | Result |
|---|
| 1 | 4 | 1 x 24 | 16 |
| 1 | 3 | 1 x 23 | 8 |
| 0 | 2 | 0 x 22 | 0 |
| 0 | 1 | 0 x 21 | 0 |
| 1 | 0 | 1 x 20 | 1 |
Decimal Result: 25
Quick Tip
Always start from the rightmost bit (least significant bit) and move towards the left, multiplying each bit by increasing powers of 2.
Practice Questions
- Convert 10110 to Decimal.
- Convert 10011 to Decimal.
- Convert 11101 to Decimal.
