List of numeral systems
Standard positional numeral systems
The common names are derived somewhat arbitrarily from a mix of Latin and Greek, in some cases including roots from both languages within a single name.

List of numeral systems

Section Title: Standard positional numeral systems
Table Section Text: The common names are derived somewhat arbitrarily from a mix of Latin and Greek, in some cases including roots from both languages within a single name.

Base	Name	Usage

2	Binary	Digital computing, imperial and customary volume (bushel-kenning-peck-gallon-pottle-quart-pint-cup-gill-jack-fluid ounce-tablespoon)

3	Ternary	Cantor set (all points in [0,1] that can be represented in ternary with no 1s); counting Tasbih in Islam; hand-foot-yard and teaspoon-tablespoon-shot measurement systems; most economical integer base

4	Quaternary	Data transmission, DNA bases and Hilbert curves; Chumashan languages, and Kharosthi numerals

5	Quinary	Gumatj, Ateso, Nunggubuyu, Kuurn Kopan Noot, and Saraveca languages; common count grouping e.g. tally marks

6	Senary	Diceware, Ndom, Kanum, and Proto-Uralic language (suspected)

7	Septenary	Weeks timekeeping

8	Octal	Charles XII of Sweden, Unix-like permissions, Squawk codes, DEC PDP-11, compact notation for binary numbers, Xiantian (I Ching, China)

9	Nonary	Base9 encoding

10	Decimal	Most widely used by modern civilizations

11	Undecimal	Jokingly proposed during the French Revolution to settle a dispute between those proposing a shift to duodecimal and those who were content with decimal; check digits in ISBN

12	Duodecimal	Languages in the Nigerian Middle Belt Janji, Gbiri-Niragu, Piti, and the Nimbia dialect of Gwandara; Chepang language of Nepal, and the Mahl dialect of Maldivian; dozen-gross-great gross counting; 12-hour clock and months timekeeping; years of Chinese zodiac; foot and inch; Roman fractions

13	Tridecimal	Base13 encoding; Conway base 13 function

14	Tetradecimal	Programming for the HP 9100A/B calculator and image processing applications; pound and stone

15	Pentadecimal	Telephony routing over IP, and the Huli language

16	Hexadecimal	Base16 encoding; compact notation for binary data; tonal system; ounce and pound

17	Heptadecimal	Base17 encoding

18	Octodecimal	Base18 encoding

19	Enneadecimal	Base19 encoding

20	Vigesimal	Basque, Celtic, Maya, Muisca, Inuit, Yoruba, Tlingit, and Dzongkha numerals; Santali, and Ainu languages

21	Unvigesimal	Base21 encoding

22	Duovigesimal	Base22 encoding

23	Trivigesimal	Kalam language, Kobon language

24	Tetravigesimal	24-hour clock timekeeping; Kaugel language

25	Pentavigesimal	Base25 encoding

26	Hexavigesimal	Base26 encoding; sometimes used for encryption or ciphering., using all letters

27	Heptavigesimal	Telefol and Oksapmin languages. Mapping the nonzero digits to the alphabet and zero to the space is occasionally used to provide checksums for alphabetic data such as personal names, to provide a concise encoding of alphabetic strings, or as the basis for a form of gematria.

28	Octovigesimal	Base28 encoding; months timekeeping

29	Enneavigesimal	Base29

30	Trigesimal	The Natural Area Code, this is the smallest base such that all of 1/2 to 1/6 terminate, a number n is a regular number if and only if 1/n terminates in base 30

32	Duotrigesimal	Base32 encoding and the Ngiti language

33	Tritrigesimal	Use of letters (except I, O, Q) with digits in vehicle registration plates of Hong Kong

34	Tetratrigesimal	Using all numbers and all letters except I and O

35	Pentatrigesimal	Using all numbers and all letters except O

36	Hexatrigesimal	Base36 encoding; use of letters with digits

38	Octotrigesimal	Base38 encoding; use all duodecimal digits and all letters

40	Quadragesimal	DEC Radix-50₈ encoding used to compactly represent file names and other symbols on Digital Equipment Corporation computers. The character set is a subset of ASCII consisting of space, upper case letters, the punctuation marks “$”, “.”, and “%”, and the numerals.

42	Duoquadragesimal	Base42 encoding

45	Pentaquadragesimal	Base45 encoding

48	Octoquadragesimal	Base48 encoding

49	Enneaquadragesimal	Related to base 7

50	Quinquagesimal	Base50 encoding

52	Duoquinquagesimal	Base52 encoding, a variant of Base62 without vowels

54	Tetraquinquagesimal	Base54 encoding

56	Hexaquinquagesimal	Base56 encoding, a variant of Base58

57	Heptaquinquagesimal	Base57 encoding, a variant of Base62 excluding I, O, l, U, and u or I, 1, l, 0, and O

58	Octoquinquagesimal	Base58 encoding

60	Sexagesimal	Babylonian numerals; NewBase60 encoding, similar to Base62, excluding I, O, and l, but including _(underscore); degrees-minutes-seconds and hours-minutes-seconds measurement systems; Ekari and Sumerian languages

62	Duosexagesimal	Base62 encoding, using 0–9, A–Z, and a–z

64	Tetrasexagesimal	Base64 encoding; I Ching in China. This system is conveniently coded into ASCII by using the 26 letters of the Latin alphabet in both upper and lower case (52 total) plus 10 numerals (62 total) and then adding two special characters (for example, YouTube video codes use the hyphen and underscore characters, - and _ to total 64).

72	Duoseptagesimal	Base72 encoding

80	Octogesimal	Base80 encoding

81	Unoctogesimal	Base81 encoding, using as 81=34 is related to ternary

85	Pentoctogesimal	Ascii85 encoding. This is the minimum number of characters needed to encode a 32 bit number into 5 printable characters in a process similar to MIME-64 encoding, since 855 is only slightly bigger than 232.

90	Nonagesimal	Related to Goormaghtigh conjecture for the generalized repunit numbers.

91	Unnonagesimal	Base91 encoding, using all ASCII except "-" (0x2D), "\" (0x5C), and "'" (0x27); one variant uses "\" (0x5C) in place of """ (0x22).

92	Duononagesimal	Base92 encoding, using all of ASCII except for "`" (0x60) and """ (0x22) due to confusability.

93	Trinonagesimal	Base93 encoding, using all of ASCII printable characters except for "," (0x27) and "-" (0x3D) as well as the Space character.

94	Tetranonagesimal	Base94 encoding, using all of ASCII printable characters.

95	Pentanonagesimal	Base95 encoding, a variant of Base94 with the addition of the Space character.

96	Hexanonagesimal	Base96 encoding, using all of ASCII printable characters as well as the two extra duodecimal digits

100	Centesimal	As 100=102, these are two decimal digits

120	Centevigesimal	Base120 encoding

121	Centeunvigesimal	Related to base 11

125	Centepentavigesimal	Related to base 5

128	Centeoctovigesimal	Using as 128=27

144	Centetetraquadragesimal	Two duodecimal digits

256	Duocentehexaquinquagesimal	Base256 encoding, as 256=28

360	Trecentosexagesimal	Degrees for angle

Sentence(s)

The Huli language features a pentadecimal (base-15) numeral system.

final_sentence: The Huli language features a pentadecimal (base-15) numeral system.