Question 4Asked in Bihar STET Paper 2 Computer Science (Class 11-12), 12 Sep 2023, Shift 2

What is the minimized expression for the Boolean function F(A, B, C, D) = Σ(0, 1, 2, 4, 5, 6, 10, 12, 13) using the K-map method?

  1. AA'B'C'D' + A'B'C'D + A'B'CD + A'BC'D + A'B'C'D' + A'BCD
  2. BA'B'C'D' + A'B'C'D + A'B'CD + A'BC'D + A'B'C'D' + A'BC'D
  3. CA'B'C'D' + A'B'C'D + A'B'CD + A'BC'D + A'B'C'D' + A'BC'D'
  4. DA'B'C'D' + A'B'C'D + A'B'CD + A'BC'D + A'B'C'D' + A'BCD
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Correct answer: (B) A'B'C'D' + A'B'C'D + A'B'CD + A'BC'D + A'B'C'D' + A'BC'D

Explanation

The options only list minterms rather than a true minimal form; grouping on the K-map actually gives F = A'C' + BC' + A'D' + B'CD'. The key gives (B) as the closest listed expression.

From Bihar STET Paper 2 Computer Science (Class 11-12) PYQ, 12 Sep 2023, Shift 2

This is question 4 of Bihar STET Paper 2 Computer Science (Class 11-12) PYQ, 12 Sep 2023, Shift 2. 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.