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NIMCET Previous Year Questions (PYQs)

NIMCET Boolean Algebra PYQ


NIMCET PYQ 2017
Which one of the following Boolean algebraic rule is correct?





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution

A + A'B = (A + A') . (A + B)
             =  1 . (A + B) 
             = A + B


NIMCET PYQ 2017
Which term is redundant in the expression AB + A'C + BC ?





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution


NIMCET PYQ 2017
The total number binary function that can be defined using n Boolean variables is





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NIMCET Previous Year PYQNIMCET NIMCET 2017 PYQ

Solution


NIMCET PYQ 2020
Assume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution


NIMCET PYQ 2020
The equivalence of given expression x+x'y with Boolean theorem is….





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NIMCET Previous Year PYQNIMCET NIMCET 2020 PYQ

Solution

x+x'y
=(x+x')(x+y)
=(x+y)

NIMCET PYQ 2023
Consider the following minterm for F:F(P, Q, R, S) = Σ0, 2, 5, 7, 8, 10, 13, 15. The minterms 2, 7, 8, and 13 are don't care terms. The minimal sum of products form for F is





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution


NIMCET PYQ 2023
Cosider the following Boolean Expression for F:
F(P,Q,R,S)=PQ+¯PQR+¯PQ¯RS
The minimum sum of products form of F is





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution


NIMCET PYQ 2023
The number of minterms in a n variable truth tableis





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

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NIMCET PYQ 2023
Let and denote the Exclusive - OR and Exclusive-NOR operations respectively. Which of the following is not correct?





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution


NIMCET PYQ 2023
The reduced form of the Boolean function F=xyz+xyz^{\prime}^{}+x^{\prime}yz+xy^{\prime}z is





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NIMCET Previous Year PYQNIMCET NIMCET 2023 PYQ

Solution


NIMCET PYQ 2019
How many Boolean expressions can be be formed with 3 Boolean variables? 






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NIMCET Previous Year PYQNIMCET NIMCET 2019 PYQ

Solution


NIMCET PYQ 2022
The minimum number of NAND gates required for implementing the Boolean expression AB+A¯BC+A¯B¯C





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

AB+A¯BC+A¯B¯C
=AB+ABC+ABC
=AB+AB(C+C)
=AB+AB
=A(B+B)
=A


NIMCET PYQ 2022
Which of the following is equivalent to the Boolean expression: 
(X+Y).(X+¯Y).(¯X+Y)





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

(X+Y).(X+¯Y).(¯X+Y)
=(X+Y)(X+Y)(X+Y)
=(XX+XY+YX+YY)(X+Y)
=(X+XY)(X+Y)
=X(1+Y)(X+Y)
=X(X+Y)
=XX+XY
=XY

NIMCET PYQ 2022
Write the simplified form of the Boolean expression
(A+C)(AD+AD')+AC+C





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

(A+C)(AD+AD')+AC+C
=(A+C)A(D+D')+C(A+1)
=(A+C)+C
=A+C

NIMCET PYQ 2022
The Boolean expression AB+ AB' + A'C + AC is unaffected by the value of the Boolean variable





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

A(B+¯B)+C(A+¯A)A+C

NIMCET PYQ 2022
If a signal passing through a gate is inhibited by sending a low into one of the inputs, and the output is HIGH, the gate is a(n):





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NIMCET Previous Year PYQNIMCET NIMCET 2022 PYQ

Solution

Output is high if any of the input is low. The truth table for NAND gate is:
 AOutput 
 0 0
 0 1 1
 1 0 1
 1 1 1
Table representing NAND Gate.


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