Question 34Asked in DSSSB PGT Computer Science (Technical), 11 Jul 2021

Which of the logic equation is the represented canonical sum of product form for the given K-Map?

Which of the logic equation is the represented canonical sum of product form for the given K-Map? (K-map columns AB = 00, 01, 11, 10; rows CD = 00, 01, 11, 10) Row CD=00: 1 _ 1 _ Row CD=01: _ 1 _ 1 Row CD=11: _ _ 1 _ Row CD=10: _ _ _ _
  1. AA'B'C'D' + A'BC'D + A'BCD' + ABC'D' + ABC'D
  2. BA'B'C'D' + A'BC'D + AB'C'D + ABC'D' + ABCD
  3. CA'B'C'D + A'BC'D + ABC'D + ABCD' + A'B'CD
  4. DA'B'C'D' + ABC'D + ABC'D' + ABC'D' + A'BCD
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Correct answer: (B) A'B'C'D' + A'BC'D + AB'C'D + ABC'D' + ABCD

Explanation

The 1-cells are A'B'C'D' and ABC'D' (CD=00), A'BC'D and AB'C'D (CD=01), and ABCD (CD=11). Adding these five minterms gives option (B).

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

This is question 34 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.