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GATE 2020 : Digital Logic Quiz 3

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Question 1

Find sum of products expression that describes A B C,

Question 2

In the Karnaugh map shown below, X denotes a don't care term. What is the minimal form of the function represented by the Karnaugh map?

Question 3

The simplified SOP (Sum of Product) form of the Boolean expression is

Question 4

Which are the essential prime implicants of the following Boolean function?
f(a,b,c) = a′c + ac′ + b′c

Question 5

Consider the following k-map, P,Q,R are don’t cares. What should be the values of P,Q,R in order to get the minimized SOP expression.

Question 6

The number of prime implicants, essential prime implicants and the minimized expressions for the given function
F(A,B,C) = Σ(0,2,3,4,5,7) is-
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Jun 25GATE & PSU CS