Free hexadecimal calculator to convert between hex, binary, octal, and decimal. Perform arithmetic and bitwise operations across number bases.
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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.
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
Convert RGB values to hex color codes or vice versa.
Debug programs by converting memory addresses between formats.
Perform AND, OR, XOR operations for masks and flags.
Work with MAC addresses and subnet calculations.
Web colors use hexadecimal (#FF5733) representing RGB values in a compact format.
Computers use binary internally. Understanding binary helps with bitwise operations and low-level programming.
Unix file permissions use octal (chmod 755) for read, write, and execute settings.
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.
Multiply each digit by its position value (16^n) and sum. For example, 1F = 1×16 + 15×1 = 31 in decimal.
Hex uses base 16 (0-F) while binary uses base 2 (0-1). Each hex digit equals exactly 4 binary digits: F = 1111, A = 1010.
Each color channel (R, G, B) has 256 values (0-255), which fits perfectly in two hex digits (00-FF). This makes #RRGGBB a compact 6-character format.