Question 76
Computer Awareness
Boolean algebra
Easy
Consider the following minterm for F: \( \pi(P, Q, R, S) = \sum (0, 2, 5, 7, 8, 10, 13, 15) \). The minterms 2, 7, 8, and 13 are don't care terms. The minimal sum of products form for F is
(A) \(\overline{Q}S+Q\overline{S}\)
(B) \(\overline{Q}\, \overline{S}+QS\)
(C) \(\overline{Q}\, \overline{R}\, \overline{S}+\overline{Q}\, R\overline{S}+Q\overline{R}\, S+QRS\)
(D) \(\overline{P}\, \overline{Q}\, \overline{S}+\overline{P}\, QS+PQS+P\, \overline{Q}\, \overline{S}\)
View Dynamic Solution & Explanation ▼
Correct Solution: Option B
Step-by-step Solution:
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