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Binary number
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{{Short description|Number expressed in the base-2 numeral system}} {{Use dmy dates|date=February 2021}} {{Table Numeral Systems}} A '''binary number''' is a [[number]] expressed in the '''[[Radix|base]]-2 [[numeral system]]''' or '''binary numeral system''', a method for representing [[number]]s that uses only two symbols for the [[natural number]]s: typically "0" ([[zero]]) and "1" ([[one]]). A ''binary number'' may also refer to a [[rational number]] that has a finite representation in the binary numeral system, that is, the quotient of an [[integer]] by a power of two. The base-2 numeral system is a [[positional notation]] with a [[radix]] of [[2]]. Each digit is referred to as a [[bit]], or binary digit. Because of its straightforward implementation in [[digital electronic circuit]]ry using [[logic gate]]s, the binary system is used by almost all modern [[computer|computers and computer-based devices]], as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation.<ref>{{cite web |title=3.3. Binary and Its Advantages β CS160 Reader |url=https://computerscience.chemeketa.edu/cs160Reader/Binary/Binary.html |website=computerscience.chemeketa.edu |access-date=22 May 2024}}</ref> {{-}} {{Aligned table |class=wikitable |cols=2 |style=float:right; |rowstyle=text-align:right; |row1header=y | Decimal<br>number | Binary<br>number | 0 | 0 | 1 | 1 | 2 | 10 | 3 | 11 | 4 | 100 | 5 | 101 | 6 | 110 | 7 | 111 | 8 | 1000 | 9 | 1001 | 10 | 1010 | 11 | 1011 | 12 | 1100 | 13 | 1101 | 14 | 1110 | 15 | 1111 }}
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