Hexadecimal to Decimal Converter
Free online tool to instantly convert hexadecimal (Base 16) to decimal (Base 10). Includes quick conversion tables and step-by-step mathematical explanations.
How to convert Hexadecimal to Decimal
Converting from Hexadecimal (Base 16) toDecimal (Base 10) involves positional value evaluation.
Convert Hexadecimal to Decimal
Multiply each digit of the hexadecimal number by 16 raised to the power of its position index (starting from position 0 on the right). Sum all products together to obtain the decimal equivalent.
Hexadecimal to Decimal Quick Conversion Table
Common values converted between Hexadecimal (Base 16) and Decimal (Base 10):
| Hexadecimal (16) | Decimal (10) |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
| 5 | 5 |
| 6 | 6 |
| 7 | 7 |
| 8 | 8 |
| 9 | 9 |
| A | 10 |
| B | 11 |
| C | 12 |
| D | 13 |
| E | 14 |
| F | 15 |
| 10 | 16 |
| 20 | 32 |
| 40 | 64 |
| 64 | 100 |
| FF | 255 |
Hexadecimal to Decimal Frequently Asked Questions
Common questions and step-by-step mathematical answers about converting Hexadecimal (Base 16) to Decimal (Base 10).
1How do you convert hexadecimal to decimal?↓
Map letters A-F to 10-15. Multiply each digit by its power of 16 (16⁰=1, 16¹=16, 16²=256, 16³=4096) and sum all products.
2What is the formula for hexadecimal to decimal conversion?↓
Decimal = hₙ·16ⁿ + hₙ₋₁·16ⁿ⁻¹ + ... + h₁·16¹ + h₀·16⁰.
3How do you convert hex to decimal manually?↓
Example with 2E₁₆: (2 × 16¹) + (14 × 16⁰) = 32 + 14 = 46₁₀.
4What is A in decimal?↓
A represents the value 10 in base-16.
5What is F in decimal?↓
F represents the maximum single hex digit value, 15.
6What is FF in decimal?↓
(15 × 16) + (15 × 1) = 240 + 15 = 255₁₀.
7What is 1A in decimal?↓
(1 × 16) + (10 × 1) = 16 + 10 = 26₁₀.
8How does hexadecimal place value work?↓
Because the radix is 16, every position moving left represents a 16-fold increase in magnitude.
9How do you convert hexadecimal fractions to decimal?↓
Example: 0.8₁₆ = 8 × 16⁻¹ = 8 / 16 = 0.5₁₀.
10What digits and letters are used in hexadecimal?↓
Hex is case-insensitive, meaning 0x2f and 0x2F both evaluate to 47 in decimal.