# binary number system

binary number system

in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system. The importance of the binary system to information theory and computer technology derives mainly from the compact and reliable manner in which 0s and 1s can be represented in electromechanical devices with two states—such as “on-off,” “open-closed,” or “go–no go.” See numerals and numeral systems.

* * *

Universalium. 2010.

### Look at other dictionaries:

• binary number system — noun a positional system of numeration that uses binary digits and a radix of two • Syn: ↑binary numeration system, ↑pure binary numeration system, ↑binary system • Hypernyms: ↑positional notation, ↑positional representation system …   Useful english dictionary

• binary number system — noun a number system which uses only the digits 1 and 0, based on the rules 1+0=1, 1+1=10. Also, binary system …

• Binary numeral system — Numeral systems by culture Hindu Arabic numerals Western Arabic (Hindu numerals) Eastern Arabic Indian family Tamil Burmese Khmer Lao Mongolian Thai East Asian numerals Chinese Japanese Suzhou Korean Vietnamese …   Wikipedia

• binary numeration system — noun a positional system of numeration that uses binary digits and a radix of two • Syn: ↑pure binary numeration system, ↑binary number system, ↑binary system • Hypernyms: ↑positional notation, ↑positional representation system …   Useful english dictionary

• number system — Method of writing numerals to represent numbers. The use of zero as a placeholder was the greatest advance in number systems. The most common system is the decimal system, in which 10 symbols (the Hindu Arabic numerals) denote multiples of powers …   Universalium

• binary number — /baɪnəri ˈnʌmbə/ (say buynuhree numbuh) noun a number expressed in the binary number system …

• number system — noun any notation for the representation of numbers • Syn: ↑numeration system, ↑number representation system, ↑system of numeration • Members of this Topic: ↑base, ↑radix • Hypernyms: ↑ …   Useful english dictionary

• pure binary numeration system — noun a positional system of numeration that uses binary digits and a radix of two • Syn: ↑binary numeration system, ↑binary number system, ↑binary system • Hypernyms: ↑positional notation, ↑positional representation system …   Useful english dictionary

• Combinatorial number system — In mathematics, and in particular in combinatorics, the combinatorial number system of degree k (for some positive integer k), also referred to as combinadics, is a correspondence between natural numbers (taken to include 0) N and k… …   Wikipedia

• binary number — one of two numbers in a system that is based on only two digits (0 and 1) …   English contemporary dictionary