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Difference between revisions of "Binary computing system"

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A positional system for the representation of numbers in base 2 (cf. [[Numbers, representations of|Numbers, representations of]]). In such a system the arithmetic operations can be very simply executed. For instance, the usual addition and multiplication with single-valued numbers are reduced in the system to: <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016330/b0163301.png" />; <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b016/b016330/b0163302.png" />.
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A positional system for the representation of numbers in base 2 (cf. [[Numbers, representations of|Numbers, representations of]]). In such a system the arithmetic operations can be very simply executed. For instance, the usual addition and multiplication with single-valued numbers are reduced in the system to: $1+1=10$; $1\cdot1=1$.
  
  

Latest revision as of 14:19, 3 August 2014

A positional system for the representation of numbers in base 2 (cf. Numbers, representations of). In such a system the arithmetic operations can be very simply executed. For instance, the usual addition and multiplication with single-valued numbers are reduced in the system to: $1+1=10$; $1\cdot1=1$.


Comments

The term binary arithmetic is also used.

How to Cite This Entry:
Binary computing system. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Binary_computing_system&oldid=17509
This article was adapted from an original article by V.I. Nechaev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article