Quinary

Quinary

Quinary (base-num|5) is a numeral system with five as the base. This originates from the five fingers on either hand.

In the quinary place system, five numerals from 0 to 4, are used to represent any real number. According to this method, five is written as 10, twenty-five is written as 100 and sixty is written as 220.

Usage

Many languages [Harald Hammarström, [http://www.cs.chalmers.se/~harald2/rara2006.pdf Rarities in Numeral Systems] : "Bases 5, 10, and 20 are omnipresent."] use quinary number systems, including Gumatj, Nunggubuyu, [Citation
title=Facts and fallacies of aboriginal number systems
last=Harris
first=John
editor-last=Hargrave
editor-first=Susanne
pages=153-181
year=1982
journal=Work Papers of SIL-AAB Series B
volume=8
url=http://www1.aiatsis.gov.au/exhibitions/e_access/serial/m0029743_v_a.pdf] , Kuurn Kopan Noot [Dawson, J. " [http://books.google.com/books?id=OdEDAAAAMAAJ Australian Aborigines: The Languages and Customs of Several Tribes of Aborigines in the Western District of Victoria] (1881), p. xcviii.] and Saraveca. Of these, Gumatj is the only true "5-25" language known, in which 25 is the higher group of 5. The Gumatj numerals are shown below:

A decimal system with 5 as a sub-base is called biquinary, and is found in Wolof and Khmer. A vigesimal system with 5 as a sub-base is found in Nahuatl and the Maya numerals.

Roman numerals are a biquinary system. The numbers 1, 5, 10, and 50 are written as I, V, X, and L respectively. Eight is VIII and seventy is LXX.

The Chinese and Japanese versions of the abacus use a biquinary system to simulate a decimal system for ease of calculation.

Urnfield culture numerals and some tally mark systems are also biquinary.

References

ee also

*Pentimal system

External links

* [http://www.mathsisfun.com/numbers/convert-base.php?to=quinary Quinary Base Conversion] , includes fractional part, from Math Is Fun


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  • Quinary — Qui na*ry, a. [L. quinarius, from quini five each, akin to quinque five: cf. F. quinaire. See {Five}.] Consisting of five; arranged by fives. Boyle. [1913 Webster] {Quinary system} (Zo[ o]l.), a fanciful classification based on the hypothesis… …   The Collaborative International Dictionary of English

  • quinary — [kwī′nə rē] adj. [L quinarius < quini, five each < quinque,FIVE] consisting of five; in sets of five n. pl. quinaries a set of five …   English World dictionary

  • quinary — /kwuy neuh ree/, adj., n., pl. quinaries. adj. 1. pertaining to or consisting of five. 2. arranged in fives. 3. of, pertaining to, or noting a numerical system based on the number 5. n. 4. a number in a quinary system. [1595 1605; < L quinarius,… …   Universalium

  • quinary — /ˈkwaɪnəri/ (say kwuynuhree) adjective 1. relating to or consisting of five. 2. arranged in fives. 3. of, relating to, or denoting a numeral system based on the number 5. –noun 4. a number in a quinary system. {Latin quīnārius containing five} …  

  • Quinary system — Quinary Qui na*ry, a. [L. quinarius, from quini five each, akin to quinque five: cf. F. quinaire. See {Five}.] Consisting of five; arranged by fives. Boyle. [1913 Webster] {Quinary system} (Zo[ o]l.), a fanciful classification based on the… …   The Collaborative International Dictionary of English

  • Quinary sector of the economy — The quinary sector of the economy is the sector of industry suggested by some economists as comprising health, education, culture, research, police, fire service, and other government industries not intended to make a profit. These industries are …   Wikipedia

  • quinary — adjective a) Of fifth rank or order. b) Consisting of five things; arranged in fives …   Wiktionary

  • quinary — kwaɪnÉ™rɪ n. numerical system based on the number 5 adj. fivefold, quintuple; arranged in groups of five; composed of five parts; based on the number 5 …   English contemporary dictionary

  • quinary — [ kwʌɪnəri] adjective relating to the number five; fifth. Origin C17: from L. quinarius, from quini five at once, a set of five , from quinque five …   English new terms dictionary

  • quinary — quina·ry …   English syllables

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