Hexadecimal Calculator

This hexadecimal calculator allows you to perform arithmetic and bitwise operations with hex numbers, convert between number systems, and preview hex color codes.

1. Enter your first hexadecimal number (using digits 0-9 and letters A-F)
2. Select the operation you want to perform
3. Enter the second hexadecimal number (if required)
4. View the result in hex, decimal, binary, and octal formats
5. Use the converter section to convert numbers between different bases
6. Use the color preview to visualize hex color codes

What is Hexadecimal?

Hexadecimal (hex) is a base-16 number system that uses 16 distinct symbols: 0-9 and A-F (where A=10, B=11, C=12, D=13, E=14, F=15).

Why Use Hexadecimal?

• Compact representation: One hex digit represents 4 binary digits
• Memory addresses: Computer memory addresses are often displayed in hex
• Color codes: Web colors are represented as 6-digit hex codes (RRGGBB)
• Programming: Hex is commonly used in low-level programming

Hex to Decimal Conversion

Each position in a hex number represents a power of 16:

A1B2₁₆ = A×16³ + 1×16² + B×16¹ + 2×16⁰ = 10×4096 + 1×256 + 11×16 + 2×1 = 41394₁₀

Hexadecimal Addition

A1 + B2 = 153

In decimal: 161 + 178 = 339

Bitwise AND

FF & AA = AA

In binary: 11111111 & 10101010 = 10101010

Color Code Example

FF5733 = Red: FF (255), Green: 57 (87), Blue: 33 (51)

This creates an orange-red color