NIMCET 2027 Boolean Algebra Previous Year Questions (PYQs) – Page 2 of 4
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Showing 36 questions
Assume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?
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Solution
The equivalence of given expression x+x'y with Boolean theorem is….
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Solution
x+x'y
=(x+x')(x+y)=(x+y)
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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Solution
Cosider the following Boolean Expression for F:
$F(P,Q,R,S)=PQ+\overline{P}QR+\overline{P}Q\overline{R}S$ .
The minimum sum of products form of F is
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Solution
The number of minterms in a $n$ variable truth tableis
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Solution
✅ Number of Minterms in a n-variable Truth Table:
For n Boolean variables, the number of possible combinations of inputs is:
2n
Each combination corresponds to one minterm. Therefore, the total number of minterms in the truth table is also 2n.
✅ Final Answer:
The number of minterms in a n-variable truth table is: 2n
Let $\oplus$ and $\odot$ denote the Exclusive - OR and Exclusive-NOR operations respectively. Which of the following is not correct?
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Solution
The reduced form of the Boolean function F = xyz + xyz' + x'y'z + xy'z is
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Solution
How many Boolean expressions can be formed with 3 Boolean variables?
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Consider x and y be some Boolean variables, + denotes the OR operation and "." denotes the AND operation. What will be the simplified form of the Boolean expression: x.(x + y)?
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Solution
x(x + y) = xx + xy = x + xy = x(1 + y) = x
Which one of the following is not a valid rule of Boolean algebra?
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Solution
A = A' is false (a variable cannot equal its complement).
NIMCET 2027
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and More.
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NIMCET 2027
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Syllabus, Notification
and More.
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