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hexadecimal

Also known as hex, base 16, Hex, Sexadecimal, Hex format, hexadecimal system

Hexadecimal (hex for short) is a positional numeral system for representing a numeric value as base 16. For the most common convention, a digit is represented as "0" to "9" like for decimal and as a letter of the alphabet from "A" to "F" (either upper or lower case) for the digits with decimal value 10 to 15.

AI overview

Hexadecimal is a counting system that uses 16 different symbols—the numbers 0-9 and the letters A-F—instead of the 10 digits we normally use in everyday math. It's commonly used in computing because it provides a compact and convenient way to represent numbers that computers work with internally.

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Image: Bruce Martin hexadecimal notation proposal.png

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Stack Exchange tag: stackoverflow.com/tags/hex
Commons category: Hexadecimal

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~34 min read

Article

25 sections

Contents

Written representation
Common convention
Identification
Implicit
Alternative symbols
Sign
Bit pattern
Exponential notation
Verbal representation
Conversion
Binary conversion
Other simple conversions
Division-remainder in source base
Conversion through addition and multiplication
Tools for conversion
Elementary arithmetic
Real numbers
Rational numbers
Irrational numbers
Powers
Cultural history
Base16
See also
References
External links

As typical computer hardware is binary in nature and that hex is power of 2, the hex representation is often used in computing as a dense representation of binary information. A hex digit represents 4 contiguous bits known as a nibble. An 8-bit byte is two hex digits, such as .