GATE | GATE CS 2012 | Question 28

W hat is the minimal form of the Karnaugh map shown below? Assume that X denotes a don’t care term.

gatecs2012Kmap

(A) b’d’
(B) b’d’ + b’c’
(C) b’d’ + a’b’c’d’
(D) b’d’ + b’c’ + c’d’


Answer: (B)

Explanation: There are two prime implicants in the following K-Map-

Prime Implicant higlighted in Green = b'c'
Prime Implicant higlighted in Orange = b'd'
So the Boolean expression is- b'c' + b'd'

Therefore option (B) is correct.

This explanation is provided by Chirag Manwani.

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