GATE ECE format:mcq PYQs & Answers — Page 12

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Questions 111–120 of 426. Imported answers require independent review unless marked reviewed.

Topic practice 426 questionsPage 12 of 43

The sequence of states

of the given synchronous sequential circuit is ______.

Diagram for Electronics and Communication Engineering question 42

Your answerChoose one option.

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Let

be a complex variable. If

and

is the circle in the complex plane with

then

is ______.

Your answerChoose one option.

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Consider two continuous time signals

and

as shown below.

Diagram for Electronics and Communication Engineering question 44

denotes the Fourier transform of

, then the Fourier transform of

is ______.

Your answerChoose one option.

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A source transmits a symbol

, taken from

with equal probability, over an additive white Gaussian noise channel. The received noise symbol

is given by

, where the noise

is zero mean with variance 4 and is independent of

. Using

, the optimum symbol error probability is ______.

Your answerChoose one option.

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A full scale sinusoidal signal is applied to a 10-bit ADC. The fundamental signal component in the ADC output has a normalized power of 1 W, and the total noise and distortion normalized power is 10 μW. The effective number of bits (rounded off to the nearest integer) of the ADC is ______.

Your answerChoose one option.

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The information bit sequence

is to be transmitted by encoding with Cyclic Redundancy Check 4 (CRC-4) code, for which the generator polynomial is

. The encoded sequence of bits is ______.

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A continuous time signal

is sampled at a rate of 15 Hz. The sampled signal

when passed through an LTI system with impulse response

produces an output

. The expression for

is ______.

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The opamps in the circuit shown are ideal, but have saturation voltages of ±10 V.

Diagram for Electronics and Communication Engineering question 49

Assume that the initial inductor current is 0 A. The input voltage (

) is a triangular signal with peak voltages of ±2 V and time period of 8 μs. Which one of the following statements is true?

Your answerChoose one option.

is delayed by 2 μs relative to

, and

is a triangular waveform.

is not delayed relative to

, and

is a trapezoidal waveform.

is not delayed relative to

, and

is a triangular waveform.

is delayed by 1 μs relative to

, and

is a trapezoidal waveform.

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In the circuit below, the opamp is ideal.

Diagram for Electronics and Communication Engineering question 50

[Circuit diagram: an ideal op-amp relaxation oscillator with resistors R, R₁ and R, capacitors C and C, and ground connections.] If the circuit is to show sustained oscillations, the respective values of

and the corresponding frequency of oscillation are ______.

Your answerChoose one option.

and

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In the circuit shown below, the transistors

and

are biased in saturation. Their small signal transconductances are

and

respectively. Neglect body effect, channel length modulation and intrinsic device capacitances.

Diagram for Electronics and Communication Engineering question 51

Assuming that capacitor

is a short circuit for AC analysis, the exact magnitude of small signal voltage gain

is ______.

Your answerChoose one option.

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GATE ECE format:mcq PYQs

Question 42

Question 43

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51