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binary number system
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Figure 1: Probability of equally likely possible outcomes.
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Gottfried Wilhelm Leibniz
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binary number system

mathematics
Also known as: base-2 number system
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History

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 numbers from 0 to 10 are thus in binary 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001, and 1010. 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: The binary system.)

The Editors of Encyclopaedia Britannica This article was most recently revised and updated by Adam Augustyn.