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Encyclopedia > Base 36
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2, 4, 8, 16, 32, 64
3, 9, 12, 20, 24, 30, 36, 60, more…
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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, 9, 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. Another name occasionally seen for base 36 is alphadecimal, a neologism coined based on the fact that the system uses the decimal digits and the letters of the Latin alphabet. Latin is the language originally spoken in the region around Rome called Latium. ... In mathematics and computer science, hexadecimal, base-16, or simply hex, is a numeral system with a radix, or base, of 16, usually written using the symbols 0â€“9 and Aâ€“F, or aâ€“f. ... A neologism is a word, term, or phrase which has been recently created (or coined), often to apply to new concepts, to synthesize pre-existing concepts, or to make older terminology sound more contemporary. ...

## Contents

Conversion table:

 Decimal Base 36 Decimal Base 36 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0 1 2 3 4 5 6 7 8 9 A B C D E F G H 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 I J K L M N O P Q R S T U V W X Y Z

Some numbers in decimal and base 36:

Decimal Base 36
1 1
10 A
100 2S
1,000 RS
10,000 7PS
100,000 255S
1,000,000 LFLS
1,000,000,000 GJDGXS
1,000,000,000,000 CRE66I9S
Base 36 Decimal
1 1
10 36
100 1296
1,000 46656
10,000 1679616
100,000 60466176
1,000,000 2176782336
10,000,000 78364164096
100,000,000 2821109907456
Decimal Base 36
1/2 0.I
1/3 0.C
1/4 0.9
1/5 0.777777777777...
1/6 0.6
1/7 0.555555555555...
1/8 0.4I
1/9 0.4
1/10 0.3LLLLLLLLLLL...

## Conversion

32- and 64-bit integers will only hold up to 6 or 12 base-36 digits, respectively. For numbers with more digits, one can use the functions mpz_set_str and mpz_get_str in the GMP arbitrary-precision math library. For floating-point numbers the corresponding functions are called mpf_set_str and mpf_get_str. The GNU Multiple-Precision Library, also known as GMP, is a free library for arbitrary precision arithmetic, operating on signed integers, rational numbers, and floating point numbers. ...

## Uses in practice

The Remote Imaging Protocol for bulletin board systems used base 36 notation for transmitting coordinates in a compact form. Many URL redirection systems like TinyURL and SnipURL also use base 36 integers as compact alphanumeric identifiers. Various systems such as RickDate 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 Jeff Reeder, a founder of TeleGrafix Communications. ... BBS redirects here. ... URL redirection, also called URL forwarding, domain redirection and domain forwarding, is a technique on the World Wide Web for making a web page available under many URLs. ... TinyURL (tinyurl. ... RickDate is a compressed date format using a base 36 numeral system to represent a date using a minimal amount of characters. ... For the calendar of religious holidays and periods, see liturgical year. ...

Dell also uses Base-36 to obtain its Express Service Code from the Service Tag.[1]

## References

1. ^ [1]

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