Hexadecimal is also the name of a character in the animated series ReBoot

In mathematics and computer science, hexadecimal (also base-16, hexa, or hex) is a numeral system with a radix, or base, of 16. This is a list of characters from the Animated television series, ReBoot. ReBoot is a Canadian CGI - animated action-adventure Television series that originally aired from 1994 to 2001 A numeral system (or system of numeration) is a Mathematical notation for representing numbers of a given set by symbols in a consistent manner The Hindu-Arabic numeral system is a Positional Decimal Numeral system first documented in the ninth century The arabic numerals (often capitalized are the ten Digits (0 1 2 3 4 5 6 7 8 9 which—along with the system The Eastern Arabic numerals (also called Arabic-Indic numerals and Arabic Eastern Numerals) are the symbols used to represent the Hindu-Arabic numeral system Khmer numerals are the numerals used in the Khmer language of Cambodia. Most of the positional Base 10 Numeral systems in the world have originated from India, which first developed the concept of positional numerology The Brahmi numerals are an indigenous Indian numeral system attested from the 3rd century BCE (somewhat later in the case of most of the tens Thai numerals (เลขไทย are a set of numerals traditionally used in Thailand, although the Arabic numerals are more common Chinese numerals are characters for writing Numbers in Chinese. The Suzhou numerals or huama is a Numeral system used in China before the introduction of Arabic numerals. Counting rods ( Japanese: 算木 sangi are small bars typically 3-14 cm long used by mathematicians for calculation in China, Japan The Korean language has two regularly used sets of numerals a Sino-Korean system and a native Korean system The Abjad numerals are a decimal Numeral system in which the 28 letters of the Arabic alphabet are assigned numerical values The system of Armenian numerals is a historic Numeral system created using the Majuscules (uppercase letters of the Armenian alphabet. Cyrillic numerals was a numbering system derived from the Cyrillic alphabet, used by South and East Slavic peoples. Ge'ez (gez ግዕዝ) also called Ethiopic, is an Abugida script that was originally developed to write Ge'ez, a Semitic language The system of Hebrew numerals is a quasi-decimal alphabetic Numeral system using the letters of the Hebrew alphabet. ʹ the numeral sign redirects here For the accent ´ see Acute accent. The Āryabhaṭa numeration is a system of numerals based on Sanskrit phonemes. Attic numerals were used by the ancient Greeks, possibly from the 7th century BC Babylonian numerals were written in cuneiform, using a wedge-tipped reed Stylus to make a mark on a soft Clay tablet which would be exposed The system of Ancient Egyptian numerals was a Numeral system used in ancient Egypt aka Kemet The Etruscan numerals were used by the ancient Etruscans The system was adapted from the Greek Attic numerals and formed the inspiration for the later Roman The Pre-Columbian Maya civilization used a Vigesimal ( base - twenty) Numeral system. Roman numerals are a Numeral system originating in ancient Rome, adapted from Etruscan numerals. Discovery In 1946 a deposit with more than 250 sickles corresponding to the period 1500-1250 BC was discovered in Frankleben (in the region of Merseburg - Querfurt This is a list of Numeral system topics (and "numeric representations" by Wikipedia page A positional notation or place-value notation system is a Numeral system in which each position is related to the next by a Constant multiplier a In mathematical numeral systems, the base or radix is usually the number of unique digits, including zero that a positional Numeral The decimal ( base ten or occasionally denary) Numeral system has ten as its base. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. Quaternary is the base - Numeral system. It uses the digits 0 1 2 and 3 to represent any Real number. The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 Base 32 or duotrigesimal is a Numeral system with 32 as its base The base - system is a Numeral system with 64 as its base It is the largest power-of-two base that can be represented using single printable ASCII The unary numeral system is the bijective base - 1 Numeral system. Ternary or trinary is the base - Numeral system. Analogous to a " Bit " a ternary digit is known as a trit ( Nonary is a base - Numeral system, typically using the digits 0-8 but not the digit 9 The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten The base - system is a Numeral system with 24 as its base There are 24 hours in a day so our time keeping system includes a base-24 component Base 30 or trigesimal is a positional numeral system using 30 as the Radix. Base 36 is a positional numeral system using 36 as the Radix. Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. Mathematics is the body of Knowledge and Academic discipline that studies such concepts as Quantity, Structure, Space and Computer science (or computing science) is the study and the Science of the theoretical foundations of Information and Computation and their radix|basis (topologyIn Arithmetic, the base refers to the number b in an expression of the form b n. A numeral system (or system of numeration) is a Mathematical notation for representing numbers of a given set by symbols in a consistent manner In mathematical numeral systems, the base or radix is usually the number of unique digits, including zero that a positional Numeral It uses sixteen distinct symbols, most often the symbols 0–9 to represent values zero to nine, and A, B, C, D, E, F (or a through f) to represent values ten to fifteen.

Its primary use is as a human friendly representation of binary coded values, so it is often used in digital electronics and computer engineering. Since each hexadecimal digit represents four binary digits (bits)—also called a nibble—it is a compact and easily translated shorthand to express values in base two. A bit is a binary digit, taking a value of either 0 or 1 Binary digits are a basic unit of Information storage and communication A nibble (often nybble) is the Computing term for a four- Bit aggregation or half an octet (an octet being an 8-bit Byte The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1.

IBM introduced the current hexadecimal system to the computing world; an earlier version, using the digits 0–9 and U–Z, was introduced in 1956 by the Bendix G-15 computer. International Business Machines Corporation abbreviated IBM and nicknamed "Big Blue", is a multinational Computer Technology The Bendix G-15 Computer was introduced in 1956 by the Bendix Corporation, Computer Division Los Angeles California.

Uses

In digital computing, hexadecimal is primarily used to represent bytes. Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime In mathematics Four is the smallest Composite number, its proper Divisors being and. This article discusses the number five. For the year 5 AD see 5. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. In mathematics Seven is the fourth Prime number. It is not only a Mersenne prime (since 23 &minus 1 = 7 but also a In mathematics 8 is a Composite number, its Proper divisors being 1, 2, and 4. In mathematics Nine is a Composite number, its proper Divisors being 1 and 3. A byte (pronounced "bite" baɪt is the basic unit of measurement of information storage in Computer science. Attempts to represent the 256 possible byte values by other means have led to problems. Directly representing each possible byte value with a single character representation runs into unprintable control characters in the ASCII character set. In Computing and Telecommunication, a control character or non-printing character is a Code point (a Number) in a American Standard Code for Information Interchange ( ASCII) Even if a standard set of printable characters were devised for every byte value, neither users nor input hardware are equipped to handle 256 unique characters. Most hex editing software displays each byte as a single character, but unprintable characters are usually substituted with period or blank. Editing Language, Images or Sound through correction condensation organization and other modifications in various media

In URLs, all characters can be coded using hexadecimal. Uniform Resource Locator is an URI which also specifies where the identified resource is available and the protocol for retrieving it ^[1] Each 2-digit (1 byte) hexadecimal sequence is preceded by a percent sign. In Mathematics, a percentage is a way of expressing a number as a Fraction of 100 ( per cent meaning "per hundred" For example, the URL http://en.wikipedia.org/wiki/Main%20Page substitutes a space (which is not allowed in URLs) with the hex code for a space (%20).

Representing hexadecimal

In situations where there is no context, a hexadecimal number might be ambiguous and confused with numbers expressed in other bases. There are several conventions for unambiguously expressing values. In mathematics, a subscript is often used on each number explicitly giving the base: 159₁₀ is decimal 159; 159₁₆ is hexadecimal 159 which is equal to 345₁₀. Some authors prefer a text subscript, such as 159_decimal and 159_hex.

In linear text systems, such as those used in most computer programming environments, a variety of methods have arisen:

• In URLs, character codes are written as hexadecimal pairs prefixed with %: http://www. Uniform Resource Locator is an URI which also specifies where the identified resource is available and the protocol for retrieving it example. com/name%20with%20spaces where %20 is the space (blank) character, code 20 hex, or 32 decimal.
• In HTML, characters can be expressed as hexadecimal using the notation ꯍ. HTML, an initialism of HyperText Markup Language, is the predominant Markup language for Web pages It provides a means to describe the structure Color references are expressed in hex prefixed with #: #FFFFFF which gives white. ^[2]
• The C programming language (and its syntactical descendants^[3]) use the prefix 0x: 0x5A3 Character and string constants may express character codes in hexadecimal with the prefix \x followed by two hex digits: '\x1B' (specifies the Esc control character), "\x1B[0m\x1B[25;1H" is a string containing 11 characters (not including an implied trailing NUL). tags please moot on the talk page first! --> In Computing, C is a general-purpose cross-platform block structured In Computing and Telecommunication, an escape character is a single character which in a sequence of characters signifies that what is to follow takes an alternative ^[4] To output a value as hexadecimal with the printf function family, the format conversion code %X or %x is used. The class of printf functions (which stands for " print f ormatted" is a class of functions, typically associated with Curly bracket programming
• In the Unicode standard, a character value is represented with U+ followed by the hex value: U+20AC is the Euro sign (€). In Computing, Unicode is an Industry standard allowing Computers to consistently represent and manipulate text expressed in most of the world's The euro sign (€ is the Currency sign used for the Euro, the official currency of the European Union (EU
• MIME (e-mail extensions) quoted-printable characters by code inside a text/plain MIME-part body prefix non-printable ASCII characters with an equal to sign =, as in Espa=D1a to send "España" (Spain). Multipurpose Internet Mail Extensions ( MIME) is an Internet standard that extends the format of e-mail to support text in Character
• In Intel-derived assembly languages, hexadecimal is indicated with a suffixed H or h: FFh or 0A3CH. See the terminology section below for information regarding inconsistent use of the terms assembly and assembler Some implementations require a leading zero when the first character is not a digit: 0FFh
• Other assembly languages (6502, AT&T, Motorola), Pascal, and some versions of BASIC (Commodore) and Forth use $ as a prefix: $5A3. The MOS Technology 6502 is an 8-bit Microprocessor that was designed by Chuck Peddle for MOS Technology in 1975 Before proposing a merge request please see Talk and see if the merger you propose has recently been made and Motorola Inc ( is an American, multinational Fortune 100, Telecommunications company based in Schaumburg Illinois. Pascal is an influential imperative and procedural Programming language, designed in 1968/9 and published in 1970 by Niklaus Wirth as a small In Computer programming, BASIC (an Acronym for Beginner's All-purpose Symbolic Instruction Code) is a family of High-level programming languages Commodore BASIC, also known as PET BASIC, is the dialect of the BASIC programming language used in Commodore International 's 8-bit Home Forth is a structured, imperative, stack-based, computer Programming language and programming environment
• Some assembly languages (Microchip) use the notation H'ABCD' (for ABCD₁₆).
• *nix (UNIX and related) shells use an escape character form \x0FF in expressions and 0xFF for constants. A Unix-like (sometimes shortened to *nix) Operating system is one that behaves in a manner similar to a Unix system while not necessarily conforming
• Ada and VHDL enclose hexadecimal numerals in based "numeric quotes": 16#5A3#
• Verilog represents hexadecimal constants in the form 8'hFF, where 8 is the number of bits in the value and FF is the hexadecimal constant. Ada is a structured, Statically typed, imperative, and object-oriented high-level computer Programming language In the Semiconductor and electronic design industry Verilog is a Hardware description language (HDL used to model electronic systems.
• Modula 2 and some other languages use # as a prefix: #01AF
• The Smalltalk programming language uses the prefix 16r: 16r6EF7
• Postscript indicates hex with prefix 16#: 16#ABCD. Modula-2 is a computer Programming language invented by Niklaus Wirth at ETH, around 1978 as a successor to his intermediate language Modula Smalltalk is an object-oriented, dynamically typed, reflective programming language. PostScript ( PS) is a dynamically typed concatenative Programming language created by John Warnock and Charles Geschke in 1982 Binary data (such as image pixels) can be expressed as unprefixed consecutive hexadecimal pairs: AA213FD51B3801043FBC. In Digital imaging, a pixel ( pict ure el ement is the smallest piece of information in an image . .
• Common Lisp use the prefixes #x and #16r. Common Lisp, commonly abbreviated CL, is a dialect of the Lisp Programming language, published in ANSI standard document Information
• QBasic and Visual Basic, prefix hexadecimal numerals with &H: &H5A3
• BBC BASIC uses & for hex. QBasic is an IDE and interpreter for a variant of the BASIC programming language which is based on QuickBasic. Visual Basic ( VB) is the third-generation event-driven programming language and associated development environment (IDE from ^[5]
• TI-89 and 92 series uses 0h: 0hA3
• Notations such as X'5A3' are sometimes seen, such as in PL/I. The TI-89 and the TI-89 Titanium are Graphing calculators developed by Texas Instruments. PL/I ("Programming Language One" ˌpiːˌɛlˈwʌn is an imperative computer Programming language designed for scientific engineering This is the most common format for hexadecimal on IBM mainframes (zSeries) and minicomputers (iSeries) running traditional OS's (zOS, zVSE, zVM, TPF, OS/400), and is used in Assembler, PL/1, Cobol, JCL, scripts, commands and other places. IBM System z, or earlier IBM eServer zSeries, is a brand name designated by IBM to all its Mainframe computers In 2000 IBM rebranded the existing The IBM System i is IBM's previous generation of systems designed for IBM i users and was subsequently replaced by the IBM Power Systems in April 2008 This format was common on other (and now obsolete) IBM systems as well.
• Donald Knuth introduced the use of particular typeface to represent a particular radix in his book The TeXbook. Donald Ervin Knuth (kəˈnuːθ (born 10 January 1938) is a renowned computer scientist and Professor Emeritus of the Art of Computer ^[6] There, hexadecimal representations are written in a typewriter typeface: 5A3

There is no universal convention to use lowercase or uppercase for the letter digits, and each is prevalent or preferred by particular environments by community standards or convention.

Bruce A. Martin's hexadecimal notation proposal

The choice of the letters A through F to represent the digits above nine was not universal in the early history of computers. During the 1950s, some installations favored using the digits 0 through 5 with a macron character ("¯") to indicate the values 10-15. A macron, from Greek el μακρόv ( makrón) meaning "long" is a Diacritic ¯ placed over or under a Vowel which was originally Users of Bendix G-15 computers used the letters U through Z. The Bendix G-15 Computer was introduced in 1956 by the Bendix Corporation, Computer Division Los Angeles California. Bruce A. Martin of Brookhaven National Laboratory considered the choice of A-F "ridiculous" and in 1968 proposed in a letter to the editor of the ACM an entirely new set of symbols based on the bit locations, which did not gain much acceptance. Brookhaven National Laboratory ( BNL) is a United States national laboratory located in Upton New York on Long Island, and was formally established The Association for Computing Machinery, or ACM, was founded in 1947 as the world's first scientific and educational Computing society ^[7]

A hexadecimal multiplication table

Verbal representations

Not only are there no digits to represent the quantities from ten to fifteen—so letters are used as a substitute—but most Western European languages also lack a nomenclature to name hexadecimal numbers. Western Europe at its most general meaning means 'all the countries in the West of Europe ' "Thirteen" and "fourteen" are decimal-based, and even though English has names for several non-decimal powers: pair for the first binary power; score for the first vigesimal power; dozen, gross, and great gross for the first three duodecimal powers. The decimal ( base ten or occasionally denary) Numeral system has ten as its base. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten Dozen is another word for the Number twelve. The dozen may be one of the earliest primitive groupings perhaps because there are approximately a dozen cycles of the A gross is equal to a Dozen dozen ie 12 × 12 = 144. It can be used in Duodecimal counting In mathematics It is the cube of 12, and as The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. However, no English name describes the hexadecimal powers (corresponding to the decimal values 16, 256, 4096, 65536, . . . ). Some people read hexadecimal numbers digit by digit like a phone number: 4DA is "four-dee-aye". However, the letter 'A' sounds similar to eight, 'C' sounds similar to three, and 'D' can easily be mistaken for the 'ty' suffix: Is it 4D or forty? Other people avoid confusion by using the NATO phonetic alphabet: 4DA is "four-delta-alpha". The NATO phonetic alphabet, more formally the international radiotelephony spelling alphabet, is the most widely used Spelling alphabet. Similarly, some use the Joint Army/Navy Phonetic Alphabet ("four-dog-able"), or a similar ad hoc system. The Joint Army/Navy Phonetic Alphabet is not a phonetic alphabet in the sense in which that term is used in Phonetics, i

Signs

The hexadecimal system can express negative numbers the same way as in decimal: –2A to represent –42 and so on.

However, some prefer instead to express the exact bit patterns used in the processor and consider hexadecimal values best handled as unsigned values. This way, the negative number –42 can be written as FFFF FFD6 in a 32-bit CPU register, as C228 0000 in a 32-bit FPU register or C045 0000 0000 0000 in a 64-bit FPU register. In Computer architecture, a processor register is a small amount of storage available on the CPU whose contents can be accessed more quickly than storage A floating point unit (FPU is a part of a Computer system specially designed to carry out operations on Floating point numbers

Fractions

As with other numeral systems, the hexadecimal system can be used to represent rational numbers, although recurring digits are common since sixteen (10h) has only a single prime factor (two):

For any base, 0. 1 (or "1/10") is always equivalent to one divided by the representation of that base value in its own number system: Counting in base 3 is 0, 1, 2, 10 (three). Thus, whether dividing one by two for binary or dividing one by sixteen for hexadecimal, both of these fractions are written as 0. 1. Because the radix 16 is a perfect square (4²), fractions expressed in hexadecimal have an odd period much more often than decimal ones, and there are no cyclic numbers (other than trivial single digits). This article refers to the REM live recording For the mathematical term see Perfect square. A cyclic number is an Integer in which Cyclic permutations of the digits are successive multiples of the number Recurring digits are exhibited when the denominator in lowest terms has a prime factor not found in the radix; thus, when using hexadecimal notation, all fractions with denominators that are not a power of two result in an infinite string of recurring digits (such as thirds and fifths). In Number theory, the prime factors of a positive Integer are the Prime numbers that divide into that integer exactly without leaving a remainder In Mathematics, a power of two is any of the Integer powers of the number two; in other words two multiplied by itself a certain This makes hexadecimal (and binary) less convenient than decimal for representing rational numbers since a larger proportion lie outside its range of finite representation. The decimal ( base ten or occasionally denary) Numeral system has ten as its base.

All rational numbers finitely representable in hexadecimal are also finitely representable in decimal, duodecimal and sexagesimal: that is, any hexadecimal number with a finite number of digits has a finite number of digits when expressed in those other bases. The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. Conversely, only a fraction of those finitely representable in the latter bases are finitely representable in hexadecimal: That is, decimal 0. 1 corresponds to the infinite recurring representation 0. 199999999999. . . in hexadecimal. However, hexadecimal is more efficient than bases 12 and 60 for representing fractions with powers of two in the denominator (e. g. , decimal one sixteenth is 0. 1 in hexadecimal, 0. 09 in duodecimal, 0;3,45 in sexagesimal and 0. 0625 in decimal).

Binary translation

Most computers manipulate binary data, but it is difficult for humans to work with the large number of digits for even a relatively small binary number. Although most humans are familiar with the base 10 system, it is much easier to map binary to hexadecimal than to decimal because each hexadecimal digit maps to a whole number of bits (4₁₀). This example converts 1111₂ to base ten. Since each position in a binary numeral can contain either a 1 or 0, its value may be easily determined by its position from the right:

• 0001₂ = 1₁₀
• 0010₂ = 2₁₀
• 0100₂ = 4₁₀
• 1000₂ = 8₁₀

Therefore:

With surprisingly little practice, mapping 1111₂ to F₁₆ in one step becomes easy: see table in Uses. A positional notation or place-value notation system is a Numeral system in which each position is related to the next by a Constant multiplier a In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a The advantage of using hexadecimal rather than decimal increases rapidly with the size of the number. When the number becomes large, conversion to decimal is very tedious. However, when mapping to hexadecimal, it is trivial to regard the binary string as 4 digit groups and map each to a single hexadecimal digit.

This example shows the conversion of a binary number to decimal, mapping each digit to the decimal value, and adding the results.

Compare this to the conversion to hexadecimal, where each group of four digits can be considered independently, and converted directly:

The conversion from hexadecimal to binary is equally direct.

The octal system can also be useful as a tool for people who need to deal directly with binary computer data. The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 Octal represents data as three bits per character, rather than four.

Converting from other bases

Division-remainder in source base

As with all bases there is a simple algorithm for converting a representation of a number to hexadecimal by doing integer division and remainder operations in the source base. In Mathematics, Computing, Linguistics and related subjects an algorithm is a sequence of finite instructions often used for Calculation Theoretically this is possible from any base but for most humans only decimal and for most computers only binary (which can be converted by far more efficient methods) can be easily handled with this method.

Let d be the number to represent in hexadecimal, and the series h_ih_i-1. . . h₂h₁ be the hexadecimal digits representing the number.

1. i := 1
2. h_i := d mod 16
3. d := (d-h_i) / 16
4. If d = 0 (return series h_i) else increment i and go to step 2

"16" may be replaced with any other base that may be desired.

The following is a JavaScript implementation of the above algorithm for converting any number to a hexadecimal in String representation. JavaScript is a Scripting language most often used for Client-side web development Its purpose is to illustrate the above algorithm. To work with data seriously however, it is much more advisable to work with bitwise operators. In Computer programming, a bitwise operation operates on one or two Bit patterns or binary numerals at the level of their individual Bits On most

function toHex(d) {
    var r = d % 16;
    var result;
    if (d-r == 0) 
        result = toChar(r);
    else 
        result = toHex( (d-r)/16 ) + toChar(r);
    return result;
}
 
function toChar(n) {
    var alpha = "0123456789ABCDEF";
    return alpha. charAt(n);
}

Addition and multiplication

It is also possible to make the conversion by assigning each place in the source base the hexadecimal representation of its place value and then performing multiplication and addition to get the final representation. I. e. to convert the number B3AD to decimal one can split the conversion into D (13₁₀), A (10₁₀), 3 (3₁₀) and B (11₁₀) then get the final result by multiplying each decimal representation by 16^p, where 'p' is the corresponding position from right to left, beginning with 0. In this case we have 13*(16⁰) + 10*(16¹) + 3*(16²) + 11*(16³), which is equal 45997 in decimal system.

Conversion via binary

As most computers work in binary, the normal way for a computer to make such a conversion would be to convert to binary first (by doing multiplication and addition in binary) and then make use of the direct mapping from binary to hexadecimal.

Tools for conversion

Most modern computer systems with graphical user interfaces provide a built-in calculator utility, capable of performing conversions between various radixes, generally including hexadecimal.

In Microsoft Windows, the Calculator utility can be set to scientific calculator mode, which allows conversions between radix 16 (hexadecimal), 10 (decimal), 8 (octal) and 2 (binary); the bases most commonly used by programmers. Microsoft Corporation is an American multinational Computer technology Corporation, which rose to dominate the Home computer Microsoft Windows is a series of Software Operating systems and Graphical user interfaces produced by Microsoft. Microsoft Calculator is a calculation application included with all versions of the Microsoft Windows Operating system. A scientific calculator is a type of electronic Calculator, usually but not always handheld designed to calculate problems in science (especially Physics The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. In Scientific Mode, the on screen numeric keypad includes the hexadecimal digits A through F which are active when "Hex" is selected. A numeric keypad, or numpad for short is the small palm-sized seventeen key section of a Computer keyboard, usually on the very far right

Cultural

Etymology

It was IBM that decided on the prefix of "hexa" rather than the proper Latin prefix of "sexa". The word "hexadecimal" is strange in that hexa is derived from the Greek έξ (hex) for "six" and decimal is derived from the Latin for "tenth". Greek (el ελληνική γλώσσα or simply el ελληνικά — "Hellenic" is an Indo-European language, spoken today by 15-22 million people mainly Latin ( lingua Latīna, laˈtiːna is an Italic language, historically spoken in Latium and Ancient Rome. It may have been derived from the Latin root, but Greek deka is so similar to the Latin decem that some would not consider this nomenclature inconsistent. An older term was the incorrect Latin-like "sexidecimal" (correct Latin is "sedecim" for 16), but that was changed because some people thought it too risqué, and it also had an alternative meaning of "base 60". Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. However, the word "sexagesimal" (base 60) retains the prefix. Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. The earlier Bendix documentation used the term "sexadecimal". Donald Knuth has pointed out that the etymologically correct term is "senidenary", from the Latin term for "grouped by 16". Donald Ervin Knuth (kəˈnuːθ (born 10 January 1938) is a renowned computer scientist and Professor Emeritus of the Art of Computer (The terms "binary", "ternary" and "quaternary" are from the same Latin construction, and the etymologically correct term for "decimal" arithmetic is "denary". )^[8] Schwartzman notes that the expected purely Latin form would be "sexadecimal", but then computer hackers would be tempted to shorten the word to "sex". ^[9] Incidentally, the etymologically proper Greek term would be hexadecadic (although in Modern Greek deca-hexadic (δεκαεξαδικός) is more commonly used). Etymology is the study of the History of Words &mdash when they entered a language from what source and how their form and meaning have changed over time Greek (el ελληνική γλώσσα or simply el ελληνικά — "Hellenic" is an Indo-European language, spoken today by 15-22 million people mainly Modern Greek (el Νέα Ελληνικά or el Νεοελληνική lit

Common patterns and humor

Hexadecimal is sometimes used in programmer jokes because certain words can be formed using only hexadecimal digits. Some of these words are "dead", "beef", "babe", and with appropriate substitutions "c0ffee". Since these are quickly recognizable by programmers, debugging setups sometimes initialize memory to them to help programmers see when something has not been initialized. Some people add an H after a number if they want to show that it is written in hexadecimal. In older Intel assembly syntax, this is sometimes the case. See the terminology section below for information regarding inconsistent use of the terms assembly and assembler "Hexspeak" may be the forerunner of the modern web parlance of "1337speak"

An example is the magic number in FAT Mach-O files and java programs, which is "CAFEBABE". Hexspeak, like Leetspeak is a novelty form of variant English spelling Leet or Eleet (sometimes rendered l33t, 1337, or 31337) also known as Leetspeak, is an Alphabet used primarily on the In Computer programming, the term magic number has multiple meanings Java refers to a number of Computer software products and specifications from Sun Microsystems that together provide a system for developing Application software Single-architecture Mach-O files have the magic number "FEEDFACE" at their beginning.

A Knuth reward check is one hexadecimal dollar, or $2. In the preface of each of his books and on his website computer scientist Donald Knuth offers to cheerfully pay a reward of $2 56.

The following table shows a joke in hexadecimal:

3x12=36
2x12=24
1x12=12
0x12=18

The first three are interpreted as multiplication, but in the last, "0x" signals Hexadecimal interpretation of 12, which is 18.

0xdeadbeef is sometimes put into uninitialized memory.

Another joke based on the use of a word containing only letters from the first six in the alphabet (and thus those used in hexadecimal) is. . .

If only DEAD people understand hexadecimal, how many people understand hexadecimal?

In this case, DEAD refers to a hexadecimal number (57005 base 10), not the state of being no longer alive. Obviously, DEAD should not be written in all-caps (as in the proceeding) as it makes dead stand out, thus ruining the riddle.

Microsoft Windows XP clears its locked index. dat files with the hex codes: "0BADF00D".

Two common bit patterns often employed to test hardware are 01010101 and 10101010 (their corresponding hex values are 55h and AAh, respectively). The reason for their use is to alternate between off ('0') to on ('1') or vice versa when switching between these two patterns. These two values are often used together as signatures in critical PC system sectors (e. g. , the hex word, 0xAA55 which on little-endian systems is 55h followed by AAh, must at the end of a valid Master Boot Record). MBRs and disk partitioning MBRs and system bootstrapping On IA-32 IBM PC compatible machines using the MBR Partition Table scheme the bootstrapping

Primary numeral system

There have been occasional attempts to promote hexadecimal as the preferred numeral system. These attempts usually propose pronunciation and/or symbology. Sometimes the proposal unifies standard measures so that they are multiples of 16. ^[10][11][12]

An example of unifying standard measures is Hexadecimal time which subdivides a day by 16 so that there are 16 "hexhours" in a day. Hexadecimal time is the representation of the Time of Day as a Hexadecimal number in the interval  The day is divided in ^[12]

See also

References

External links

Hex conversion utilities or pages

• Online Converter for Decimal/Hexadecimal Numerals (JavaScript, GPL)
• Online ASCII/Hexadecimal converter (PHP)
• Hex/ASCII 'translation' service
• Leet Key, a Firefox extension that supports ASCII/Hex conversions and typing