Hex Calculator
Convert between hexadecimal and other number systems
Enter Number
Enter hexadecimal (0-9, A-F)
Conversion Results
About This Calculator
The Hex Calculator helps you convert numbers between hexadecimal (base 16), decimal (base 10), binary (base 2), and octal (base 8) number systems. Hexadecimal is commonly used in computer programming and digital electronics.
This tool is essential for programmers, computer scientists, and anyone working with low-level programming, memory addresses, color codes, or digital systems. Hexadecimal uses digits 0-9 and letters A-F to represent values 0-15.
Formula & Calculation Method
Number system conversions:
- Hex to Decimal: Multiply each digit by 16^position and sum
- Decimal to Hex: Divide by 16 repeatedly, remainder is hex digit
- Hex to Binary: Convert each hex digit to 4 binary bits
- Binary to Hex: Group binary into 4-bit groups, convert each to hex
Hexadecimal digits:
- 0-9: Same as decimal (0-9)
- A-F: Represent decimal values 10-15
- A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
How to Use This Calculator
Frequently Asked Questions
What is hexadecimal?
Hexadecimal (hex) is a base-16 number system using digits 0-9 and letters A-F. It is commonly used in computing because it compactly represents binary data (each hex digit represents 4 binary bits).
Why is hexadecimal used in programming?
Hexadecimal is used in programming for memory addresses, color codes (RGB), character encodings, and debugging. It provides a human-readable representation of binary data.
How do I convert hex to decimal?
To convert hex to decimal, multiply each digit by 16 raised to its position (from right, starting at 0) and sum the results. For example, 1A = 1×16¹ + 10×16⁰ = 16 + 10 = 26.
What is the relationship between hex and binary?
Each hexadecimal digit represents exactly 4 binary bits. For example, F (hex) = 1111 (binary). This makes conversion between hex and binary very straightforward.
Calculator by
NumCalculators Editorial Team
Multi-disciplinary Expert Team