GATE CS 2025 Set 2 — Question 43
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Digital Logic → Boolean Algebra & Logic Gates → K-Map Minimization
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Question
Given the following Karnaugh Map for a Boolean function :
Which one or more of the following Boolean expression(s) represent(s) ?
Correct answer
(A) wxyz + wxyz + wxyz + wxyz + xz; (D) xz + xz
Solution
Reading the map (rows , columns , both in Gray order 00, 01, 11, 10), forThe four corners () have , giving ; the central block () has , giving . So
- (A) are exactly , i.e. ; plus . Represents . Correct.
- (B) Contains (), where , and misses . Wrong.
- (C) Contains (), where , and misses . Wrong.
- (D) is the minimal form. Correct.
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