Base 36 is a positional numeral system using 36 as the radix.. The choice of 36 is convenient in that the digits can be represented using the Arabic numerals 0-9 and the Latin letters A-Z. Base 36 is therefore the most compact case-insensitive alphanumeric numeral system using ASCII characters, although its radix economy is poor. (Compare with base 16 and base 64.) A numeral is a symbol or group of symbols that represents a number. ... The system of Hindu-Arabic numerals is a positional decimal numeral system that evolved from the Brahmi numeral system in ancient India, from the 9th century documented to have used a positional notation including a zero symbol. ... // Origins The Hindu-Arabic numeral system originated from the Hindu numeral system, which is a pure place value system, that requires a zero. ... Various symbol sets are used to represent numbers in the Hindu-Arabic numeral system, all of which evolved from the Brahmi numerals. ... Arabic numerals (or Hindu-Arabic numerals) are the most common set of symbols used to represent numbers around the world. ... The Eastern Arabic numerals (also called Eastern Arabic numerals, Arabic-Indic numerals, Arabic Eastern Numerals) are the symbols (glyphs) used to represent the Hindu-Arabic numeral system in conjunction with the Arabic alphabet in Egypt, Iran, Pakistan and parts of India, and also in the no longer used Ottoman Turkish... India has produced many numeral systems. ... The Abjad numerals are a numeral system which was used in the Arabic-speaking world prior to the use of the Arabic numerals (which are actually of Indian origin). ... Attic numerals were used by ancient Greeks, possibly from the 7th century BC. They were also known as Herodianic numerals because they were first described in a 2nd century manuscript by Herodianus. ... 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 in the sun to harden to create a permanent record. ... 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). ... Cyrillic numerals was a numbering system derived from the Cyrillic alphabet, used by South and East Slavic peoples. ... Myst franchise Games Myst Riven Myst III: Exile Myst IV: Revelation Myst V: End of Ages Uru: Ages Beyond Myst Ages of: Myst Riven Myst III: Exile Myst IV: Revelation Uru Novels Myst: The Book of Atrus   Tiana   Dni Comic Books #0   #1 Miscellaneous Dni Ages   The... The Etruscan numerals were used by the ancient Etruscans. ... Note: This article contains special characters. ... The system of Hebrew numerals is a quasi-decimal alphabetic numeral system using the letters of the Hebrew alphabet. ... Ionian numerals were used by the ancient Greeks, possibly before the 7th century BC. They are also known by the names Milesian numerals or Alexandrian numerals. ... Khmer numerals are the numerals used in the Khmer language of Cambodia. ... The Pre-Columbian Maya civilization used a vigesimal (base-twenty) numeral system. ... The system of Roman numerals is a numeral system originating in ancient Rome, and was adapted from Etruscan numerals. ... As it applies to general mathematics, a base is the number of single digits denoting different values in a positional numeral system, including zero. ... The unary numeral system is the simplest numeral system to represent natural numbers: in order to represent a number N, an arbitrarily chosen symbol is repeated N times. ... The binary numeral system (base-2) represents numeric values using two symbols, typically 0 and 1. ... Ternary or trinary is the base-3 numeral system. ... Quaternary is the base four numeral system. ... Quinary (base-five) is a numeral system with five as the base. ... A senary numeral system is a base-six numeral system. ... The septenary numeral system is the base seven number system, and uses the digits 0-6. ... The octal numeral system is the base-8 number system, and uses the digits 0 to 7. ... Nonary is a base 9 numeral system, typically using the digits 0-8, but not the digit 9. ... The decimal (base ten or occasionally denary) numeral system has ten as its base. ... The undecimal positional notation system is based on the number eleven, rather than ten as in decimal or eight in octal and so on. ... A duodecimal multiplication table The duodecimal (also known as base-twelve or dozenal) system is a numeral system using twelve as its base. ... Base 13 is a nonstandard positional numeral system. ... In mathematics and computer science, 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. ... The vigesimal or base-20 numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten). ... As there are 24 hours in a day a numbering system based upon 24, and as the base 12 is convenient here some examples of the base 24 (quadrovigesimal) system. ... A Hexavigesimal numeral system has a base of twenty-six. ... A Septemvigesimal numeral system has a base of twenty-seven. ... Base 30 or trigesimal is a positional numeral system using 30 as the radix. ... Base32 is a derivation of Base64 with the following additional properties: The resulting character set is all uppercase, which can often be beneficial when using a case-sensitive filesystem. ... The sexagesimal (base-sixty) is a numeral system with sixty as the base. ... Base 64 literally means a positional numbering system using a base of 64. ... Positional notation is a system in which each position has a value represented by a unique symbol or character. ... 36 is the natural number following 35 and preceding 37. ... The radix (Latin for root), also called base, is the number of various unique symbols (or digits or numerals) a positional numeral system uses to represent numbers. ... Hindu-Arabic numerals also known as Arabic Numerals, Hindu numerals, European numerals, and Western numerals are the most common set of symbols used to represent numbers around the world. ... The Latin alphabet, also called the Roman alphabet, is the most widely used alphabetic writing system in the world today. ... Text sometimes exhibits case sensitivity, that is, words can differ in meaning based on the differing use of uppercase and lowercase letters. ... Generally speaking, the term alphanumeric refers to anything that consists of only letters and numbers. ... A numeral is a symbol or group of symbols that represents a number. ... There are 95 printable ASCII characters, numbered 32 to 126. ... 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. ... In computing, base64 is a data encoding scheme whereby binary-encoded data is converted to printable ASCII characters. ...

From a mathematical viewpoint, 36 is a convenient choice for a base in that it is divisible by both 2 and 3, and by their multiples 4, 6, 12 and 18. Each base 36 digit can be represented as two base 6 digits. Mathematics is commonly defined as the study of patterns of structure, change, and space; more informally, one might say it is the study of figures and numbers. Mathematical knowledge is constantly growing, through research and application, but mathematics itself is not usually considered a natural science. ... A senary numeral system is a base-six numeral system. ...

The most common latinate name for base 36 seems to be hexatridecimal, although sexatrigesimal would arguably be more correct. The intermediate form hexatrigesimal is also sometimes used. For more background on this naming confusion, see the entry for hexadecimal. Latin is the language originally spoken in the region around Rome called Latium. ... In mathematics and computer science, 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. ...

Examples

Conversion table:

Some numbers in decimal and base 36:

Uses in practice

The Remote Imaging Protocol for bulletin board systems used base 36 notation for transmitting co-ordinates in a compact form. Many URL redirection systems like TinyURL also use base 36 integers as compact alphanumeric identifiers. Various systems use base 36 as a compact representation of Gregorian dates in file names, using one digit each for the day and the month. The Remote Imaging Protocol (RIP), also referred to as RIPscrip (and frequently, yet incorrectly as RIPscript), was an early vector graphics protocol, created by TeleGrafix Communications. ... A bulletin board system or BBS is a computer system running software that allows users to dial into the system over a phone line and, using a terminal program, perform functions such as downloading software and data, uploading data, playing games, reading news, and exchanging messages with other users. ... URL redirection is a technique on the world wide web for making a web page available under many URLs. ... TinyURL is a popular service providing short aliases to long URLs, and it also functions as a general term for such services. ... The Gregorian calendar is the calendar that is used nearly everywhere in the world. ...

External links

• A discussion about the proper name for base 36 at the Wordwizard Clubhouse
• The Prime Lexicon, a list of words that are prime numbers in base 36
• A Binary-Octal-Decimal-Hexadecimal-Base36 converter written in PHP.