GATE IN 2019 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

A voltage amplifier is constructed using enhancement mode MOSFETs labeled M1, M2, M3 and M4 in the figure below. M1, M2 and M4 are n-channel MOSFETs and M3 is a p-channel MOSFET. All MOSFETs operate in saturation mode and channel length modulation can be ignored. The low frequency, small signal input and output voltages are

and

respectively and the dc power supply voltage is

. All n-channel MOSFETs have identical transconductance

while the p-channel MOSFET has transconductance

. The expressions for the low frequency small signal voltage gain

Diagram for Instrumentation Engineering question 33

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In the circuit shown below, assume that the comparators are ideal and all components have zero propagation delay. In one period of the input signal

, the fraction of the time for which the output OUT is in logic state HIGH is

Diagram for Instrumentation Engineering question 34

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and

are 2-bit binary numbers. The Boolean function S that satisfies the condition “If X > Y, then S = 1”, in its minimized form, is

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2019 · Paper 1

Question 33

Question 34

Question 35