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==Bitwise operations== {{Main|Bitwise operation}} Though not directly related to the numerical interpretation of binary symbols, sequences of bits may be manipulated using [[logical connective|Boolean logical operators]]. When a string of binary symbols is manipulated in this way, it is called a [[bitwise operation]]; the logical operators [[Logical conjunction|AND]], [[Logical disjunction|OR]], and [[Exclusive disjunction|XOR]] may be performed on corresponding bits in two binary numerals provided as input. The logical [[Negation|NOT]] operation may be performed on individual bits in a single binary numeral provided as input. Sometimes, such operations may be used as arithmetic short-cuts, and may have other computational benefits as well. For example, an [[arithmetic shift]] left of a binary number is the equivalent of multiplication by a (positive, integral) power of 2.
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