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In mathematics, hexadecimal or simply hex is a numeral system with a radix or base of 16 , usually written using the symbols 0-9 and A-F or a-f. It is a useful system in computers because there is an easy mapping from four bits to a single hex digit. A byte can be represented as two consecutive hexadecimal digits.For example, the decimal numeral 79 whose binary representation is 01001111 can be written as 4F in hexadecimal (4 = 0100, F = 1111). In some representations, the characters ~, !, @, #, $ and % are used instead of ABCDEF (respectively).
1 Representing hexadecimal
| hex | bin | dec
|
| 0 | 0000 | 0
|
| 1 | 0001 | 1
|
| 2 | 0010 | 2
|
| 3 | 0011 | 3
|
| 4 | 0100 | 4
|
| 5 | 0101 | 5
|
| 6 | 0110 | 6
|
| 7 | 0111 | 7
|
| 8 | 1000 | 8
|
| 9 | 1001 | 9
|
| A (~) | 1010 | 10
|
| B (!) | 1011 | 11
|
| C (@) | 1100 | 12
|
| D (#) | 1101 | 13
|
| E ($) | 1110 | 14
|
| F (%) | 1111 | 15
|
There are many ways to denote hexadecimal numerals:
- Ada and VHDL enclose hexadecimal numerals in based "numeric quotes", e.g. "16#5A3#". (Note: Ada accepts this notation for all bases from 2 through 16 and for both integer and real types.)
- C and languages with a similar syntax (such as C++ and Java) prefix hexadecimal numerals with '0x', e.g. "0x5A3". The leading '0' is used so that the parser can simply recognize a number, and the 'x' stands for hexadecimal (c.f. O for Octal).
- in HTML, hexadecimal char acter references also use the x: ֣ should give the same as ֣ -- with your browser ֣ and ֣ respectively (Hebrew accent munah).
- Pascal and some AssemblersAssembly language or simply assembly is a human-readable notation for the machine language that a specific computer architecture uses. Machine language, a pattern of bits encoding machine operations, is made readable by replacing the raw values with symbo indicate hex by an appended 'h' (if the numeral starts with a letter, then also with a preceding 0), e.g., "0A3Ch", "5A3h".
- Other assemblers ( AT&TAT&T formerly an abbreviation for American Telephone and Telegraph Corporation is an American telecommunications company, publicly listed on the New York Stock Exchange under the ticker symbol T . AT&T provides voice, video, data, and Internet telecommuni, MotorolaMotorola started as Galvin Manufacturing Corporation in 1928. The name of the company was changed to Motorola in 1947, but the word had been used as a trademark since the 1930s. The company is based in Schaumburg, Illinois, a Chicago suburb. Founder Paul) and some versions of BASICBASIC is a family of high-level programming languages. Originally devised as an easy-to-use tool, it became widespread on home microcomputers in the 1980s, and remains popular to this day in a handful of heavily evolved dialects. BASIC's name, coined in c use a prefixed '$', e.g. "$5A3".
- Some versions of BASICBASIC is a family of high-level programming languages. Originally devised as an easy-to-use tool, it became widespread on home microcomputers in the 1980s, and remains popular to this day in a handful of heavily evolved dialects. BASIC's name, coined in c prefix hexadecimal numerals with "&h", e.g. "&h5A3".
- Notations such as
X'5A3' are sometimes seen; PL/IPL/I ("Programming Language One", pronounced "pee el one") is a computer programming language designed for scientific, engineering, and business applications. It has a very large vocabulary of built-in functions. In fact, there is probably no one compiler uses such notation.
- When talking about numeral systems other than base-10, or numerals in multiple bases, mathematicianA mathematician is a person whose area of study and research is mathematics. Roles Mathematicians not only study, but also research, and this must be given prominent mention here, because a misconception that everything in mathematics is already known iss write the base in subscript after the number, e.g. "5A316" or "5A3SIXTEEN".
There is no single agreed-upon standard, so all the above conventions are in use, sometimes even in the same paper. However, as they are quite unambiguous, little difficulty arises from this.
The word "hexadecimal" is strange in that hexa is derived from the GreekThe Greek language ( /Elini'k{/) is an Indo-European language which has existed from around the 14th century BC in the Cretan inscriptions called Linear B. Mycenaean Greek of this period is distinguished from later Classical or Ancient Greek of the 8th ce έξι (hexi) for "six" and decimal is derived from the Latin for "ten". An older term was the pure Latin "sexidecimal", but that was changed because some people thought it too risque, and it also had an alternative meaning of "base 60". However, the word " sexagesimal" (base-60) retains the prefix.
A common use of hexadecimal numerals is found in web programming . The languages HTML and CSS use hexadecimal notation to specify colors on web pages; there is just the # symbol, not a separate symbol for "hexadecimal". 24-bit color is represented in the format #RRGGBB, where RR specifies the value of the Red component of the color, GG the Green component and BB the Blue component. E.g., a shade of red that is 238,9,63 in decimal is coded as #EE093F. See Web colors.
In URLs special characters can be coded hexadecimally in ASCII with for each byte a percent sign (%) in front, e.g. http://en.wikipedia.org/wiki/Main%20Page
