EXCLUSIVE OR Meaning and
Definition
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Exclusive or, often abbreviated as XOR, is a logical operation that is commonly used in Boolean algebra, computer programming, and mathematics. It is a binary operator that operates on two logical operands, often inputted as true or false values, and produces a true output only when exactly one of the inputs is true. In other words, "exclusive or" represents a logical disjunction where the result is true if and only if one of the operands is true, but not both.
The behavior of exclusive or is defined by the following truth table: if both inputs are true, the output is false; if both inputs are false, the output is also false; but if one input is true and the other is false, the output is true. Symbolically, exclusive or is often represented as ⊕, and its Boolean algebra expression is "A ⊕ B".
Exclusive or is frequently used in programming and computing applications to control logical flow, enforce conditions, or toggle states based on specific criteria. It can also be used to compare two binary or Boolean values, ensuring that they are different. Additionally, exclusive or is a fundamental operation in cryptography, where it is often applied for encryption and decryption purposes.
Overall, exclusive or represents a logical operation that returns true if and only if exactly one of the inputs is true, while returning false when both inputs are either true or false.
Common Misspellings for EXCLUSIVE OR
- exclusive ov
- wxclusive or
- sxclusive or
- dxclusive or
- rxclusive or
- 4xclusive or
- 3xclusive or
- ezclusive or
- ecclusive or
- edclusive or
- esclusive or
- exxlusive or
- exvlusive or
- exflusive or
- exdlusive or
- exckusive or
- excpusive or
- excousive or
- exclysive or
- exclhsive or
Etymology of EXCLUSIVE OR
The term "exclusive or" is commonly abbreviated as "XOR", and it is a logical operator used in Boolean algebra and computer programming. The etymology of the term "exclusive or" traces back to the combination of two fundamental logical operators: "exclusive" and "or".
The term "or" is derived from the Old English word "oþþe", which meant "either". Over time, it evolved to "or" in Middle English, and it was related to similar words in other Germanic languages like German "oder" and Dutch "of".
The term "exclusive" comes from the Latin word "exclusivus", which means "excluding" or "keeping out". It is derived from the verb "excludere", which can be broken down into "ex" (meaning "out") and "claudere" (meaning "to close").
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