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Test: Logic Gates & Boolean Algebra - 1 - Question 1

Consider a Boolean gate (D) where the output Y is related to the inputs A and B as, Y = A + B̅, where + denotes logical OR operation. The Boolean inputs ‘0’ and ‘1’ are also available separately. Using instances of only D gates and inputs ‘0’ and ‘1’, __________ (select the correct option(s)).

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Test: Logic Gates & Boolean Algebra - 1 - Question 2

For the given digital circuit. NOT gate is having a time delay of 5 msec. Find for which time range the LED will glow up.

X input is logic 1 for 10 msec to 35msec as shown in the figure. (logic 1 is considered as 5 V and logic 0 as 0 V)

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Test: Logic Gates & Boolean Algebra - 1 - Question 3

The Boolean equation X = [(A + B̅) (B + C)] B can be simplified to

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Test: Logic Gates & Boolean Algebra - 1 - Question 4

Identify the number of prime implicants and essential prime implicants for the function

f(A, B, C, D) = Σ m(0, 1, 4, 6, 7, 8, 10, 14, 15)

(where m represents min terms)

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Test: Logic Gates & Boolean Algebra - 1 - Question 5

Find the output Boolean function for the logic circuit.

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Test: Logic Gates & Boolean Algebra - 1 - Question 6

If the Boolean expression P̅Q + QR + PR is minimized, the expression becomes:

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Test: Logic Gates & Boolean Algebra - 1 - Question 7

The output of logic circuit given below represents _______ gate.

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Test: Logic Gates & Boolean Algebra - 1 - Question 8

Simplify the following expression.

Y = AB + A(B + C) + B(B + C)

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Test: Logic Gates & Boolean Algebra - 1 - Question 9

The Boolean expression AB + AC̅ + BC simplifies to

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Test: Logic Gates & Boolean Algebra - 1 - Question 10

The minterm expansion of f (P, Q, R) = PQ + QR̅ + PR̅ is

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