Math 61-02: Practice Problems for Final Exam
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چکیده
(FP1) The exclusive or operation, denoted by ⊕ and sometimes known as XOR, is defined so that P ⊕Q is true iff P is true or Q is true, but not both. Prove (through a truth table, or otherwise) that for any statements P,Q,R: (a) ((P ⊕Q)⊕R)⇔ (P ⊕ (Q⊕R)) (b) (P ∧ (Q⊕R))⇔ ((P ∧Q)⊕ (P ∧R)) Answer. One could show both sentences were true through a truth table, either through showing the entire sentence given in the problem is a tautology (so every row of the truth table is true) or showing that for each part, the sentences on either side of the ⇔ have the same truth value. These truth tables should read:
منابع مشابه
Name : Final Exam Practice Problems : Professor : Paul J . Atzberger Partial Differential Equations , 124 A March 11 th , 2007
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تاریخ انتشار 2016