How to Convert Hexadecimal to Decimal
Hexadecimal to Decimal conversion is an important concept in number systems. Here is a simple method to convert a hexadecimal number to decimal.
Steps to Convert Hexadecimal to Decimal:
- Write down the hexadecimal number.
- Multiply each digit by 16 raised to its position index (starting from 0 at the right).
- If the digit is A, B, C, D, E, or F, replace it with its decimal equivalent (A = 10, B = 11, ..., F = 15).
- Sum all the values to get the decimal equivalent.
Example: Convert 1F4 (Hexadecimal) to Decimal
| Hex Digit | Position (Power of 16) | Calculation | Result |
|---|
| 1 | 2 | 1 x 162 | 256 |
| F (15) | 1 | 15 x 161 | 240 |
| 4 | 0 | 4 x 160 | 4 |
Decimal Result: 500
Quick Tip
Always start from the rightmost digit (least significant digit) and move towards the left, multiplying each digit by increasing powers of 16.
Practice Questions
- Convert A3 (Hexadecimal) to Decimal.
- Convert 2F (Hexadecimal) to Decimal.
- Convert 7D1 (Hexadecimal) to Decimal.
