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Digital Electronics
Boolean Algebra

Practice questions from Boolean Algebra.

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Q#1 Boolean Algebra GATE EC 2025 (Set 1) MCQ +1 mark -0.33 marks

A 3-input majority logic gate has inputs , and . The output F of the gate is logic '' if two or more of the inputs are logic ''. The output  is logic '  ' if two or more of the inputs are logic '0'.

Which one of the following options is a Boolean expression of the output F ?

Explanation:

F=f(X,Y, Z)

F=1 for Two or More inputs are 1.

F=0 for Two or More inputs are 0.

Truth Table:

Hence, option (a) is correct.

Q#2 Boolean Algebra GATE EC 2024 (Set 1) MCQ +1 mark -0.33 marks

For the Boolean function

 

the essential prime implicants are________

Explanation:

,13,14,15)

Given minterms can be plotted in K-Map as shown below,

EPI is a PI which contains at least one minterm which is not covered by any other PI

Two such PI are quad at the center and also the quad formed by minterms at the corners of the K-Map