Hexadecimal
Base16 numerical system / From Wikipedia, the free encyclopedia
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In mathematics and computing, the hexadecimal (also base16 or simply hex) numeral system is a positional numeral system that represents numbers using a radix (base) of sixteen. Unlike the decimal system representing numbers using ten symbols, hexadecimal uses sixteen distinct symbols, most often the symbols "0"–"9" to represent values 0 to 9, and "A"–"F" (or alternatively "a"–"f") to represent values from ten to fifteen.
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Software developers and system designers widely use hexadecimal numbers because they provide a humanfriendly representation of binarycoded values. Each hexadecimal digit represents four bits (binary digits), also known as a nibble (or nybble).[1] For example, an 8bit byte can have values ranging from 00000000 to 11111111 (0 to 255 decimal) in binary form, which can be conveniently represented as 00 to FF in hexadecimal.
In mathematics, a subscript is typically used to specify the base. For example, the decimal value 40,405 would be expressed in hexadecimal as 9DD5_{16}. In programming, several notations denote hexadecimal numbers, usually involving a prefix. The prefix 0x
is used in C, which would denote this value as 0x9DD5
.
Hexadecimal is used in the transfer encoding Base16, in which each byte of the plaintext is broken into two 4bit values and represented by two hexadecimal digits.
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