Convert between hexadecimal, decimal, binary, and octal number systems with our powerful and easy-to-use converter tool.
Understanding the hexadecimal number system and its applications
Hexadecimal (or hex) is a base-16 number system that uses sixteen distinct symbols: 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen.
Unlike the decimal system which is base-10, hexadecimal is particularly useful in computing and digital electronics because it can represent every byte (8 bits) as two consecutive hexadecimal digits.
This makes it more human-friendly than binary code (which uses only 0s and 1s) while still being easily convertible to binary.
| Decimal | Hexadecimal | Binary |
|---|---|---|
| 0 | 0 | 0000 |
| 1 | 1 | 0001 |
| 2 | 2 | 0010 |
| 3 | 3 | 0011 |
| 4 | 4 | 0100 |
| 5 | 5 | 0101 |
| 6 | 6 | 0110 |
| 7 | 7 | 0111 |
| 8 | 8 | 1000 |
| 9 | 9 | 1001 |
| 10 | A | 1010 |
| 11 | B | 1011 |
| 12 | C | 1100 |
| 13 | D | 1101 |
| 14 | E | 1110 |
| 15 | F | 1111 |
Simple steps to convert between number systems
Choose the type of conversion you need: hexadecimal to decimal, decimal to hexadecimal, hexadecimal to binary, or binary to hexadecimal.
Input the value you want to convert in the appropriate format. For hexadecimal, use digits 0-9 and letters A-F.
Press the Convert button to instantly see the result in the desired number system.
Copy the converted value for use in your programming, design, or calculations.
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Find answers to common questions about hexadecimal conversion
Hexadecimal is a base-16 number system that uses sixteen distinct symbols: 0-9 to represent values zero to nine, and A-F to represent values ten to fifteen. It's widely used in computing as a human-friendly representation of binary-coded values.
Hexadecimal is used in computing because it can represent every byte (8 bits) as two consecutive hexadecimal digits. This makes it more compact and human-readable than binary while still being easily convertible to binary for machine processing.
To convert hexadecimal to decimal, multiply each digit by 16 raised to the power of its position (starting from 0 on the right), then sum all the results. For example, the hexadecimal number 1A3 equals (1 × 16²) + (10 × 16¹) + (3 × 16⁰) = 419 in decimal.
Yes, our converter supports negative numbers in decimal format. When converting from decimal to hexadecimal, negative numbers are represented using two's complement notation, which is the standard method for representing signed integers in computing.
Our converter can handle very large numbers, but for optimal performance, we recommend values up to 64-bit integers (18,446,744,073,709,551,615 in decimal or FFFFFFFFFFFFFFFF in hexadecimal). For larger values, the conversion might take slightly longer.
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