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Question 3Asked in UGC NET Computer Science, June 2016 (Paper II & III, Selected Questions)

The simplified form of a Boolean equation (AB' + AB'C + AC)(A'C' + B') is:

  1. AAB'
  2. BAB'C
  3. CA'B
  4. DABC
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Correct answer: (A) AB'

Explanation

(AB' + AB'C + AC)(A'C' + B') = (AB'(1 + C) + AC)(A'C' + B') = (AB' + AC)(A'C' + B') = AA'B'C' + AB'B' + AA'CC' + AB'C = 0 + AB' + 0 + AB'C = AB'(1 + C) = AB'

From UGC NET Computer Science PYQ, June 2016 (Paper II & III, Selected Questions)

This is question 3 of UGC NET Computer Science PYQ, June 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.