Question 26Asked in DSSSB PGT Computer Science (Technical), 11 Jul 2021

The Boolean expression AB + A'C + BC = ________

  1. AAB
  2. BAB + A'B
  3. CAB + A'C
  4. DA'B + A'C
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Correct answer: (C) AB + A'C

Explanation

By the consensus theorem, BC is redundant: BC = BC(A + A') = ABC + A'BC, which is absorbed by AB and A'C. So AB + A'C + BC = AB + A'C.

From DSSSB PGT Computer Science PYQ (Technical), 11 Jul 2021

This is question 26 of DSSSB PGT Computer Science PYQ (Technical), 11 Jul 2021. 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.