GATE ECE format:mcq PYQs & Answers — Page 40

Questions 391–400 of 426. Imported answers require independent review unless marked reviewed.

Which one of the following gives the simplified sum of products expression for the Boolean function

, where

and

are minterms corresponding to the inputs

and

with

as the MSB and

as the LSB?

Your answerChoose one option.

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The following FIVE instructions were executed on an 8085 microprocessor.

MVI A, 33H MVI B, 78H ADD B CMA ANI 32H

The Accumulator value immediately after the execution of the fifth instruction is

Your answerChoose one option.

00H

10H

11H

32H

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A programmable logic array (PLA) is shown in the figure. The Boolean function

implemented is

Diagram for Electronics and Communication Engineering question 45

Your answerChoose one option.

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A finite state machine (FSM) is implemented using the D flip-flops A and B, and logic gates, as shown in the figure below. The four possible states of the FSM are

and

Diagram for Electronics and Communication Engineering question 46

Assume that

is held at a constant logic level throughout the operation of the FSM. When the FSM is initialized to the state

and clocked, after a few clock cycles, it starts cycling through

Your answerChoose one option.

all of the four possible states if

three of the four possible states if

only two of the four possible states if

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A linear time invariant (LTI) system with the transfer function

is connected in unity feedback configuration as shown in the figure.

Diagram for Electronics and Communication Engineering question 47

For the closed loop system shown, the root locus for

intersects the imaginary axis for

. The closed loop system is stable for

Your answerChoose one option.

no positive value of

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A second-order LTI system is described by the following state equations,

, where

and

are the two state variables and

denotes the input. The output

. The system is

Your answerChoose one option.

undamped (oscillatory)

underdamped

critically damped

overdamped

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Which one of the following options correctly describes the locations of the roots of the equation

on the complex plane?

Your answerChoose one option.

Four left half plane (LHP) roots

One right half plane (RHP) root, one LHP root and two roots on the imaginary axis

Two RHP roots and two LHP roots

All four roots are on the imaginary axis

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A unity feedback control system is characterized by the open-loop transfer function

. The Nyquist path and the corresponding Nyquist plot of

are shown in the figures below.

Diagram for Electronics and Communication Engineering question 48

, then the number of poles of the closed-loop transfer function that lie in the right-half of the

-plane is

Your answerChoose one option.

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The Nyquist plot of the transfer function

does not encircle the point

for

but does encircle the point

for

. Then the closed loop system (having unity gain feedback) is

Your answerChoose one option.

stable for

and stable for

stable for

and unstable for

unstable for

and stable for

unstable for

and unstable for

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The signal

, where

is in seconds, is sampled at a rate of 9000 samples per second. The sampled signal is the input to an ideal lowpass filter with frequency response

as follows:

What is the number of sinusoids in the output and their frequencies in kHz?

Your answerChoose one option.

Number = 1, frequency = 7

Number = 3, frequencies = 2, 7, 11

Number = 2, frequencies = 2, 7

Number = 2, frequencies = 7, 11

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GATE ECE format:mcq PYQs

Question 43

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Question 45

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Question 47

Question 48

Question 48

Question 49

Question 49