संख्या पद्धतियों की सूची का स्रोत देखें

{{अनुवाद}}
यहाँ [[संख्या पद्धतियाँ|संख्या पद्धतियों]] की सूची दी गयी है।

== स्थानीय प्रतीक ==
ये सभी स्थानीय-मान पर आधारित हैं। इनमें से कुछ निम्नलिखित हैं-

=== मानक (Standard) ===
[[चित्र:Binary clock.svg|thumb|A [[binary clock]] might use [[Light-emitting diode|LEDs]] to express binary values. In this clock, each column of LEDs shows a [[binary-coded decimal]] numeral of the traditional [[sexagesimal]] time.]]
''For the definition of standard positional numeral systems, see [[Non-standard positional numeral systems]].''

The common names are derived somewhat arbitrarily from [[Latin]] and [[Greek language|Greek]]. For more information, see [[Hexadecimal#Etymology]].

{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| 2 || [[Binary numeral system|Binary]] || All modern digital [[computations]].
|-
| 3 || [[Ternary numeral system|Ternary]] || [[Cantor set]] (all points in [0,1] that ''can'' be represented in ternary with no 1s.)
|-
| 4 || [[Quaternary numeral system|Quaternary]] || Data transmission and [[Hilbert curve]]s.
|-
| 5 || [[Quinary]] || 
|-
| 6 || [[Senary]] || [[Diceware]]
|-
| 7 || [[Septenary]] || 
|-
| 8 || [[Octal]] || [[Charles XII of Sweden#Scientific contributions|Charles XII of Sweden]], [[Filesystem permissions#Octal notation|Unix-like permissions]]
|-
| 9 || [[Nonary]] || 
|-
| 10 || [[Decimal]] || Most widely used by modern civilizations.<ref>''The History of Arithmetic'', [[Louis Charles Karpinski]], 200pp, Rand McNally & Company, 1925.</ref><ref>''Histoire universelle des chiffres'', [[Georges Ifrah]], Robert Laffont, 1994 (Also: ''The Universal History of Numbers: From prehistory to the invention of the computer'', [[Georges Ifrah]], ISBN 0-471-39340-1, John Wiley and Sons Inc., New York, 2000. Translated from the French by David Bellos, E.F. Harding, Sophie Wood and Ian Monk)</ref>
|-
| 11 || [[Undecimal]] || 
|-
| 12 || [[Duodecimal]] || 
|-
| 13 || [[Base 13|Tridecimal]] || The [[Maya calendar]].
|-
| 14 || [[Tetradecimal]] || Programming for the [[Hewlett-Packard|HP]] 9100A/B calculator<ref>{{Cite web |url=http://www.hpmuseum.org/prog/hp9100pr.htm |title=संग्रहीत प्रति |access-date=20 जुलाई 2012 |archive-url=https://web.archive.org/web/20120205061338/http://www.hpmuseum.org/prog/hp9100pr.htm |archive-date=5 फ़रवरी 2012 |url-status=dead }}</ref> and image processing applications<ref>See [http://www.freepatentsonline.com/6690378.html a patent] {{Webarchive|url=https://web.archive.org/web/20120207142328/http://www.freepatentsonline.com/6690378.html |date=7 फ़रवरी 2012 }} at Free Patents Online</ref>.
|-
| 15 || [[Pentadecimal]] || Telephony routing over IP and the [[Huli language]].
|-
| 16 || [[Hexadecimal]] || Human-friendly representation ([[hex dump]]) of [[binary data]] and [[Base16]] encoding.
|-
| 20 || [[Vigesimal]] || [[Yan Tan Tethera|Celtic numerals]], [[Maya numerals]]
|-
| 24 || [[Tetravigesimal]] || 
|-
| 26 || [[Hexavigesimal]] || 
|-
| 27 || [[Septemvigesimal]] || [[Telefol language|Telefol]] and [[Oksapmin language|Oksapmin]] languages.
|-
| 30 || [[Trigesimal]] || 
|-
| 32 || [[Duotrigesimal]] || [[Base32]] encoding and the [[Ngiti language]].
|-
| 36 || [[Hexatridecimal]] || [[Base36]] encoding.
|-
| 60 || [[Sexagesimal]] || The [[Babylonian|Babylonian numerals]] positional numeral system.
|-
| 64 || [[Tetrasexagesimal]] || [[Base64]] encoding.
|-
| 85 || || [[Ascii85]] encoding.
|}

=== [[Non-standard positional numeral systems|Non-standard]] ===
==== [[Bijective numeration]] ====
{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| 1 || [[Unary numeral system|Unary]] || [[Tally marks]].
|-
| 10 || [[Decimal without a zero]] || 
|}

==== [[Signed-digit representation]] ====
{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| 2 || [[Non-adjacent form]] || 
|-
| 3 || [[Balanced ternary]] || [[Ternary computer]]s.
|}

==== [[Negative bases]] ====
The common names of the negative base numeral systems are formed using the prefix nega-, giving names such as:

{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| −2 || Negabinary || 
|-
| −3 || Negaternary || 
|-
| −10 || Negadecimal ||
|}

==== [[Complex base systems|Complex bases]] ====
{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| 2''i'' || [[Quater-imaginary base]] || 
|-
| −1 ± ''i'' || [[Twindragon]] base || [[Twindragon]] fractal shape.
|}

==== [[Non-integer representation|Non-integer bases]] ====
{| class="wikitable"
|-
! Base !! Name !! Usage
|-
| [[Golden ratio|φ]] || [[Golden ratio base]] || Early [[Beta encoder]].<ref>
{{Citation
 |last= Ward |first=Rachel
 |year=2008
 |title= On Robustness Properties of Beta Encoders and Golden Ratio Encoders
 |journal=[[IEEE Transactions on Information Theory]]
 |volume=54 |issue=9 |pages= 4324&ndash;4334
 |doi=10.1109/TIT.2008.928235
}}</ref>
|-
| [[e (mathematical constant)|e]] || Base e || 
|-
| [[π]] || Base π || 
|-
| [[√2]] || Base √2 || 
|}

==== अन्य ====
* [[Nullary]]
* [[Mixed radix]]
* [[Quote notation]]

== गैर-स्थानीय अंकन (non-positional notation) ==
बेबिलोन अंकों (Babylonian numerals) के पहले विकसित सभी संख्या पद्धतियाँ स्थानीय मान पर आधारित नहीं हैं।

== अंक ==
{| class="wikitable sortable"
|-
! नाम !! आधार !! नमूना !! सर्वप्रथम कब प्रयुक्त हुआ (लगभग)
|-
| [[बेबीलोनी अंक]] || 60 || [[चित्र:Babylonian 1.svg|15px]][[चित्र:Babylonian 2.svg|15px]][[चित्र:Babylonian 3.svg|15px]][[चित्र:Babylonian 4.svg|15px]][[चित्र:Babylonian 5.svg|15px]][[चित्र:Babylonian 6.svg|15px]][[चित्र:Babylonian 7.svg|15px]][[चित्र:Babylonian 8.svg|15px]][[चित्र:Babylonian 9.svg|15px]][[चित्र:Babylonian 10.svg|15px]] || 3100 B.C.
|-
| [[ग्रीक अंक]] || 10 || α β γ δ ε ϝ ζ η θ ι ||
|-
| [[रोमन संख्यांक|रोमन अंक]] || 10 || I II III IV V VI VII VIII IX X || 1000 B.C.
|-
| चीनी छड़ अंक]] || 10 || [[चित्र:Counting rod v1.png|x15px]] [[चित्र:Counting rod v2.png|x15px]] [[चित्र:Counting rod v3.png|x15px]] [[चित्र:Counting rod v4.png|x15px]] [[चित्र:Counting rod v5.png|x15px]] [[चित्र:Counting rod v6.png|x15px]] [[चित्र:Counting rod v7.png|x15px]] [[चित्र:Counting rod v8.png|x15px]] [[चित्र:Counting rod v9.png|x15px]] [[चित्र:Counting rod h1.png|15px]] || 1st century
|-
| [[हिन्दू अंक]] || 10 || 0 1 2 3 4 5 6 7 8 9 10 || 9वीं शताब्दी
|}

== सन्दर्भ ==


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[[श्रेणी:संख्या पद्धति]]