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Because the logical or means a disjunction formula is true when either one or both of its parts are true, it is referred to as an inclusive disjunction. This is in contrast with an exclusive disjunction, which is true when one or the other of the arguments are true, but not both (referred to as exclusive or, or XOR).
Similar to bitwise AND, bitwise OR performs logical disjunction at the bit level. Its result is a 1 if either of the bits is 1 and zero only when both bits are 0.
A bitwise OR is a binary operation that takes two bit patterns of equal length and performs the logical inclusive OR operation on each pair of corresponding bits. The result in each position is 0 if both bits are 0, while otherwise the result is 1.
Exclusive or, exclusive disjunction, exclusive alternation, logical non-equivalence, or logical inequality is a logical operator whose negation is the logical biconditional. With two inputs, XOR is true if and only if the inputs differ (one is true, one is false).
Logical disjunction ("or") is distributive over logical conjunction ("and"), and vice versa. For real numbers (and for any totally ordered set), the maximum operation ...
Logical operators over bit vectors (corresponding to finite Boolean algebras) are bitwise operations. But not every usage of a logical connective in computer programming has a Boolean semantic. For example, lazy evaluation is sometimes implemented for P ∧ Q and P ∨ Q , so these connectives are not commutative if either or both of the ...
The inputs and outputs are binary digits ("bits") which have two possible logical states. In addition to 1 and 0, these states may be called true and false, high and low, active and inactive, or other such pairs of symbols. Thus it performs a logical disjunction (∨) from mathematical logic.
The following table is restricted to common programming languages and the basic boolean operators for logical conjunction AND and logical disjunction OR. In some languages, the bitwise operators can be used as eager boolean operators. For other languages, bitwise operators are not included in the list, because they do not take boolean values or ...