Hexadecimal to Decimal Converter
Convert hexadecimal numbers (base 16) into decimal numbers (base 10) with this free online hexadecimal to decimal calculator. Enter your hexadecimal value to get the decimal result and learn how the conversion works.
Convert Hexadecimal to Decimal
How to Convert Hexadecimal to Decimal
Hexadecimal is a base-16 number system. It uses the digits 0 through 9 and the letters A through F. The letters represent decimal values 10 through 15.
To convert a hexadecimal number to decimal, multiply each digit by the appropriate power of 16 and add the results.
Example: Convert 2F to decimal
= 2 × 16¹ + 15 × 16⁰
= 32 + 15
= 47 (decimal)
Therefore, hexadecimal 2F is equal to decimal 47.
Example: Convert A5 to decimal
= 10 × 16¹ + 5 × 16⁰
= 160 + 5
= 165 (decimal)
Hexadecimal Digit Reference Table
Each hexadecimal digit has a decimal value between 0 and 15.
| Hexadecimal | Decimal | Binary | Hexadecimal | Decimal | Binary |
|---|---|---|---|---|---|
| 0 | 0 | 0000 | 8 | 8 | 1000 |
| 1 | 1 | 0001 | 9 | 9 | 1001 |
| 2 | 2 | 0010 | A | 10 | 1010 |
| 3 | 3 | 0011 | B | 11 | 1011 |
| 4 | 4 | 0100 | C | 12 | 1100 |
| 5 | 5 | 0101 | D | 13 | 1101 |
| 6 | 6 | 0110 | E | 14 | 1110 |
| 7 | 7 | 0111 | F | 15 | 1111 |
Frequently Asked Questions
What is hexadecimal to decimal conversion?
It converts a number written in base 16 into its equivalent in base 10. Hexadecimal uses digits 0–9 and letters A–F.
What is FF in decimal?
FF in hexadecimal equals 255 in decimal: 15 × 16 + 15 = 255.
What is 1A3 in decimal?
1A3 in hexadecimal equals 419 in decimal: 1 × 256 + 10 × 16 + 3 = 419.
Can I convert very large hexadecimal numbers?
Yes. The calculator uses string arithmetic rather than converting the complete value into a PHP integer. It supports inputs up to 1,000 hexadecimal digits.
Does the converter accept lowercase letters?
Yes. Both uppercase and lowercase hexadecimal letters are accepted.
Can I enter a number beginning with 0x?
Yes. Both FF and 0xFF are valid inputs.