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A disjunction is a compound statement formed by joining two statements with the connector OR. A disjunction is denoted by the logical connector symbol which is read as OR. Let r and q be two statements. The compound statement is called the disjunction of r and q. A disjunction is false if and only if both statements are false, otherwise it is true.
An Exclusive disjunction is a disjunction that is true if only one statement, but not both statements are true and is false if neither or both statements are true. It is symbolized by the connective XOR.