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GATE EE : Digital Electronics Champion Quiz 1

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Question 1

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

Question 2

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

Question 3

In the 4 × 1 multiplexer, the output F is given by F = A ⊕ B. Find the required input ‘I₃I₂I₁I₀’.

Question 4

The output Y of the logic circuit given below is:

Question 5

The output of the 4-to-1 MUX shown in below is

Question 6

A 3 line to 8 line decoder, with active low outputs, is used to implement a 3-variable Boolean function as shown in the figure

The simplified form of Boolean function F(A, B, C) implemented in ‘Product of Sum’ form will be

Question 7

Which of the following logic circuits is a realization of the function F whose Karnaugh map is shown in figure?

Question 8

A 4 × 1 MUX is used to implement a 3–input Boolean function as shown in figure. The Boolean function F (A, B, C) implemented is

Question 9

For the circuit shown in the following figure, the Boolean expression for the output Y in terms of inputs P, Q, R and S is
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Question 10

f(A, B, C, D) = π(0,1, 3, 4, 5, 7, 9, 11, 12, 13, 14, 15) is a maxterm representation of a Boolean function f(A, B, C, D) where A is the MSB and D is the LSB. The equivalent minimized representation of this function is

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ESE & GATE EE Analog Electronics

Jul 3ESE & GATE EE