Hexadecimal to Decimal Converter
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Enter a hexadecimal value to see the conversion steps here.
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Hexadecimal to Decimal Converter
A Hexadecimal to Decimal Converter helps convert hexadecimal numbers (base-16) into decimal numbers (base-10). This conversion is widely used in computer programming, digital electronics, and number-system studies.
Multiply each hexadecimal digit by its corresponding power of 16 and add all the values to get the decimal number.
What Is the Hexadecimal Number System?
The hexadecimal number system is a base-16 number system. It uses digits 0–9 and letters A–F, where A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15.
What Is the Decimal Number System?
The decimal number system is the number system we use in everyday life. It is based on 10 digits (0 to 9).
How to Convert Hexadecimal to Decimal
- Write the hexadecimal number
- Assign powers of 16 from right to left (16⁰, 16¹, 16², …)
- Replace letters A–F with their decimal values (10–15)
- Multiply each digit by its power of 16
- Add all the values to get the decimal number
Example: Convert 3A (Hexadecimal) to Decimal
| Hex Digit | Decimal Value | Power of 16 | Result |
|---|---|---|---|
| 3 | 3 | 16¹ | 48 |
| A | 10 | 16⁰ | 10 |
3A₁₆ = 58₁₀
Hexadecimal to Decimal Conversion Table
| Hexadecimal | Decimal |
|---|---|
| 1 | 1 |
| 7 | 7 |
| 9 | 9 |
| A | 10 |
| F | 15 |
| 10 | 16 |
| 1A | 26 |
| 3B | 59 |
| 64 | 100 |
| FF | 255 |
FAQ on Hexadecimal to Decimal Converter
Hexadecimal to decimal conversion is the process of converting a base-16 number into a base-10 number using powers of 16.
Powers of 16 are used because the hexadecimal number system is base-16, and each digit represents a power of 16.
The easiest way is replacing hexadecimal letters with their decimal values, multiplying each digit by its power of 16, and adding all the results.