GATE | GATE CS 2012 | Question 28

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

(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 highlighted in Green = 

Prime Implicant highlighted in Orange = 

So the Boolean expression is- 

Therefore option (B) is correct. 

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