Monday 11 August 2014

Numeral system

From Wikipedia, the free reference book

This article is about diverse techniques for communicating numbers with images. For the order of numbers in math, see Number. For how numbers are communicated utilizing words, see Numeral (etymology).

This article incorporates an arrangement of references, however its sources stay hazy on the grounds that it has lacking inline references. It would be ideal if you help to enhance this article by presenting more exact references. (January 2011)

Numeral frameworks

by society

Hindu–arabic birthplaces

Indian Bengali Tamil Telugu

Eastern Arabic Western Arabic

Burmese Khmer Lao Mongolian

Sinhala Thai

East Asian

Chinese Suzhou Japanese Korean Vietnamese

Tallying poles

Alphabetic

Abjad Armenian Āryabhaṭa Cyrillic

Ge'ez Georgian Greek Hebrew Roman

Previous

Aegean Attic Babylonian Brahmi

Egyptian Etruscan Inuit Kharosthi

Mayan Quipu

Ancient

Positional frameworks by base

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 20 24 26 27 32 36 60

Non-standard positional frameworks

Arrangement of numeral frameworks

v t e

A numeral framework (or arrangement of numeration) is a written work framework for communicating numbers, that is, a numerical documentation for speaking to amounts of a given set, utilizing digits or different images as a part of a reliable way. It might be seen as the setting that permits the images "11" to be deciphered as the double image for three, the decimal image for eleven, or an image for different numbers in diverse bases.

Preferably, a numeral framework will:

Speak to a valuable set of numbers (e.g. all whole numbers, or normal numbers)

Give each number spoke to a novel representation (or in any event a standard representation)

Reflect the logarithmic and number-crunching structure of the numbers.

For instance, the normal decimal representation of entire numbers gives each non zero entire number an extraordinary representation as a limited grouping of digits, starting by a non-zero digit. Then again, when decimal representation is utilized for the judicious or genuine numbers, such numbers as a rule have an unbounded number of representations, for instance 2.31 can additionally be composed as 2.310, 2.3100000, 2.309999999..., and so forth., all of which have the same significance with the exception of some logical and different settings where more noteworthy exactness is intimated by a bigger number of figures demonstrated.

Numeral frameworks are in some cases called number frameworks, yet that name is questionable, as it could allude to diverse frameworks of numbers, for example, the arrangement of true numbers, the arrangement of complex numbers, the arrangement of p-adic numbers, and so on. Such frameworks are not the subject of this article.

Substance  [hide]

1 Main numeral frameworks

2 Positional frameworks in point of interest

3 Generalized variable-length whole numbers

4 Devanagari numerals and their Sanskrit names

5 See additionally

6 References

7 Sources

8 External connec

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