Hex Calculator
Perform arithmetic operations with hexadecimal numbers and convert between hex and decimal. Perfect for programming, computer science, and digital electronics.
Hexadecimal Calculator & Converter
Hex Examples
Click on these links to see instant calculations with common hex operations:
Hexadecimal Number System
Hexadecimal (base-16) is a number system that uses 16 symbols: 0-9 and A-F. It's widely used in computing because it provides a more compact representation of binary data.
Hex Digits and Values
| Hex | Decimal | Binary | Hex | 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 |
Hex Arithmetic Rules
- Addition: Add digits, carry when sum > F (15)
- Subtraction: Subtract digits, borrow when needed
- Multiplication: Multiply digits, handle carries in base-16
- Division: Divide using base-16 arithmetic
Conversion Methods
- Hex to Decimal: Multiply each digit by 16^position and sum
- Decimal to Hex: Repeatedly divide by 16, collect remainders
- Hex to Binary: Convert each hex digit to 4 binary digits
- Binary to Hex: Group binary digits by 4, convert each group
- Programming: Memory addresses, color codes, and low-level programming
- Computer Science: Assembly language, debugging, and system programming
- Web Development: CSS color codes and character encoding
- Digital Electronics: Hardware design and embedded systems
- Cryptography: Hash values and cryptographic keys
Frequently Asked Questions
What is hexadecimal?
Hexadecimal is a base-16 number system that uses digits 0-9 and letters A-F. It's commonly used in computing and programming for representing binary data in a more readable format.
How do you convert hex to decimal?
To convert hex to decimal, multiply each digit by 16 raised to its position power (starting from 0 on the right) and sum the results. For example: A3₁₆ = 10×16¹ + 3×16⁰ = 163₁₀.
How do you add hexadecimal numbers?
Add hexadecimal numbers column by column from right to left. When the sum exceeds F (15), carry over to the next column. For example: A + 7 = 11 (decimal) = B (hex).