संख्या पद्धतियों की सूची

यहाँ संख्या पद्धतियों की सूची दी गयी है।

स्थानीय प्रतीक

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

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. For more information, see Hexadecimal#Etymology.

Base	Name	Usage
2	Binary	All modern digital computations.
3	Ternary	Cantor set (all points in [0,1] that can be represented in ternary with no 1s.)
4	Quaternary	Data transmission and Hilbert curves.
5	Quinary
6	Senary	Diceware
7	Septenary
8	Octal	Charles XII of Sweden, Unix-like permissions
9	Nonary
10	Decimal	Most widely used by modern civilizations.^[1]^[2]
11	Undecimal
12	Duodecimal
13	Tridecimal	The Maya calendar.
14	Tetradecimal	Programming for the HP 9100A/B calculator^[3] and image processing applications^[4].
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	Celtic numerals, Maya numerals
24	Tetravigesimal
26	Hexavigesimal
27	Septemvigesimal	Telefol and Oksapmin languages.
30	Trigesimal
32	Duotrigesimal	Base32 encoding and the Ngiti language.
36	Hexatridecimal	Base36 encoding.
60	Sexagesimal	The Babylonian numerals positional numeral system.
64	Tetrasexagesimal	Base64 encoding.
85		Ascii85 encoding.

Base	Name	Usage
1	Unary	Tally marks.
10	Decimal without a zero

Base	Name	Usage
2	Non-adjacent form
3	Balanced ternary	Ternary computers.

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

Base	Name	Usage
2i	Quater-imaginary base
−1 ± i	Twindragon base	Twindragon fractal shape.

बेबिलोन अंकों (Babylonian numerals) के पहले विकसित सभी संख्या पद्धतियाँ स्थानीय मान पर आधारित नहीं हैं।

नाम	आधार	नमूना	सर्वप्रथम कब प्रयुक्त हुआ (लगभग)
बेबीलोनी अंक	60		3100 B.C.
ग्रीक अंक	10	α β γ δ ε ϝ ζ η θ ι
रोमन अंक	10	I II III IV V VI VII VIII IX X	1000 B.C.
चीनी छड़ अंक]]	10		1st century
हिन्दू अंक	10	0 1 2 3 4 5 6 7 8 9 10	9वीं शताब्दी

↑ The History of Arithmetic, Louis Charles Karpinski, 200pp, Rand McNally & Company, 1925.
↑ 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)
↑ "संग्रहीत प्रति". मूल से 5 फ़रवरी 2012 को पुरालेखित. अभिगमन तिथि 20 जुलाई 2012.
↑ See a patent Archived 2012-02-07 at the वेबैक मशीन at Free Patents Online
↑ Ward, Rachel (2008), "On Robustness Properties of Beta Encoders and Golden Ratio Encoders", IEEE Transactions on Information Theory, 54 (9): 4324–4334, डीओआइ:10.1109/TIT.2008.928235