The Boolean function [~(~p∧q)∧~(~p∧~q)] ∨ (p∧r) is equal to Boolean function :
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Correct answer: (D) p
Explanation
~(~p∧q) ∧ ~(~p∧~q) = (p ∨ ~q) ∧ (p ∨ q) = p ∨ (~q ∧ q) = p. So the function is p ∨ (p ∧ r) = p(1 + r) = p.
From UGC NET Computer Science PYQ, August 2016 (Paper II & III, Selected Questions)
This is question 7 of UGC NET Computer Science PYQ, August 2016 (Paper II & III, Selected Questions). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.