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Question 37Asked in DSSSB TGT Computer Science (Technical), 1 Aug 2021, Shift 1

What is the value of F' (complement of F)? F = AB + C'D + B'D

What is the value of F' (complement of F)? F = AB + C'D + B'D
  1. AA'B' + CD + BD
  2. B(A' + B')(C + D')(B + D')
  3. C(A + B)(C' + D)(B' + D)
  4. DNone of these
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Correct answer: (B) (A' + B')(C + D')(B + D')

Explanation

By De Morgan's law the complement of a sum of products is a product of sums with each literal complemented: (AB)' = A' + B', (C'D)' = C + D', (B'D)' = B + D'. So F' = (A' + B')(C + D')(B + D').

From DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 1

This is question 37 of DSSSB TGT Computer Science PYQ (Technical), 1 Aug 2021, Shift 1. 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.