Hex Calculator
Perform hexadecimal arithmetic and convert between hex, decimal, binary, and octal number systems.
Inputs
Results
Hexadecimal Number System
Hexadecimal (base-16) uses digits 0–9 and letters A–F. One hex digit represents exactly 4 bits. Hex is widely used in computer science for memory addresses, colors (e.g., #FF5733), and low-level programming. FF₁₆ = 255₁₀ = 11111111₂.
What is the Hex Calculator?
The Hexadecimal Calculator performs addition, subtraction, multiplication, and division on Base-16 numbers. It is an essential tool for programmers, web developers, and hardware engineers dealing with memory addresses or RGB color codes.
How It Works (Algorithm)
Standard decimals use Base-10 (0-9). Hexadecimal uses Base-16, meaning it requires 16 distinct symbols. It uses 0-9 for the first ten values, and letters A-F to represent 10-15. The calculator handles the complex Base-16 carry-over arithmetic.
$$ \text{FF}_{16} + 1_{16} = 100_{16} $$
Because F represents 15, adding 1 triggers a massive column carry-over.
How to Use It
Input your first Hex number (using numbers 0-9 and letters A-F). Select the operator, and input your second Hex number. The calculator will provide the final Base-16 result alongside its equivalent Decimal value.