Electronics and Communication Engineering
GATE ECE year:2026 PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 65. Imported answers require independent review unless marked reviewed.
Question 41
Open questionECMCQ2 marksNeeds review
The state and output equations for a control system are:
Which of the following expressions correctly represents the transfer function
of the system with zero initial conditions?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 42
Open questionECMCQ2 marksNeeds review
The address of the first location of a 256 kilo byte (KB) memory is
. Choose the correct address of the last location of the memory.Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 43
Open questionECMCQ2 marksNeeds review
Consider a real signal
,
, such that
for
,
for
and
for
. Let
. Which of the following options correctly represents the ratio,
?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 44
Open questionECMCQ2 marksNeeds review
A QPSK modulated signal from an additive white Gaussian noise (AWGN) channel is received with an
dB at the input of a coherent QPSK demodulator. A maximum-likelihood reception method is used in the demodulator.Assume the complementary error function
Which is the nearest bit error rate (BER) at the output of the demodulator?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
Open questionECMCQ2 marksNeeds review
What is the 10’s complement of
?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 46
Open questionECMCQ2 marksNeeds review
Consider a real baseband signal
, for t (in seconds)
.If 99% of energy of x(t) lies within B Hz, then which of the following options is TRUE for the value of B?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 47
Open questionECMCQ2 marksNeeds review
Consider the discrete time system (S) with input
and output
as shown in the Figure. The two sub-systems represented by their impulse responses
and
are linear and time invariant.Which of the following statements is necessarily TRUE?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 48
Open questionECMCQ2 marksNeeds review
A Boolean function,
with
as MSB and
as LSB is realized by 4:1 multiplexer (MUX) with select lines,
and
(
is MSB,
is LSB) and inputs,
as shown in the Figure.Which of the following options is the correct expression of
? 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 49
Open questionECMCQ2 marksNeeds review
A shift-left Shift Register (SR) and a D flip-flop are connected to a synchronized clock as shown in the Figure. Assume that the SR and D flip-flops are initially cleared and the XOR gate has no propagation delay.
Which of the following options gives the correct binary representation (
) of the content of the shift register immediately after the 5th clock transition (positive edge)? 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 50
Open questionECMCQ2 marksNeeds review
A small signal source,
is applied to a BJT circuit as shown in the Figure.Assume zero source resistance,
V,
, Early voltage = 100 V and Thermal voltage = 25 mV. Effect of internal parasitic capacitances of the BJT may be neglected.Which expression is the best approximation of the output voltage
? 
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer