Hexadecimal Calculator
Free hexadecimal calculator for converting between hex, binary, octal, and decimal number systems. Perform arithmetic and bitwise operations on different number bases.
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Convert Between Number Systems
Our hexadecimal calculator makes it easy to convert numbers between different bases and perform calculations. Whether you're working with hex colors, binary data, or memory addresses, get instant conversions and step-by-step breakdowns.
Understanding Number Bases
Number systems use different bases to represent values. Decimal (base 10) uses digits 0-9. Hexadecimal (base 16) uses 0-9 and A-F. Binary (base 2) uses only 0 and 1. Octal (base 8) uses 0-7. Each system has specific uses in computing.
Base Conversion Formula
N = d₀×b⁰ + d₁×b¹ + d₂×b² + ... + dₙ×bⁿWhy Use Different Number Bases?
Hex for Colors
Web colors use hexadecimal (#FF5733) representing RGB values in a compact format.
Binary for Computing
Computers use binary internally. Understanding binary helps with bitwise operations and low-level programming.
Octal for Permissions
Unix file permissions use octal (chmod 755) for read, write, and execute settings.
How to Use the Hex Calculator
Common Use Cases
CSS/HTML Colors
Convert RGB values to hex color codes or vice versa.
Memory Addresses
Debug programs by converting memory addresses between formats.
Bitwise Operations
Perform AND, OR, XOR operations for masks and flags.
Network Configuration
Work with MAC addresses and subnet calculations.
Frequently Asked Questions
Hexadecimal is a base-16 number system using digits 0-9 and letters A-F. One hex digit represents 4 binary bits, making it convenient for representing binary data compactly.