What topics are covered on Page 2 of GATE 2026 Electronics and Communication Engineering?

Page 2 contains Questions 14 to 26. It covers analog and digital communication, Hamming coding, transfer functions, compensators, state-space models, stability, logic circuits, ripple counters, JK flip-flops, memory addressing, complements, multiplexers and shift registers.

What control-system topics are asked in GATE 2026 ECE Page 2?

The control-system questions cover transfer-function reduction, compensator design, conversion from state-space equations to transfer functions and determination of gain for marginal stability.

What is the marginal stability gain in the GATE 2026 ECE control-system question?

For the unity negative-feedback system in Question 19, the positive gain K at which the system becomes marginally stable is 1386.

What is the output frequency of the JK flip-flop in GATE 2026 ECE?

With J and K tied high and a 10 cycles-per-second clock applied to the negative-edge-triggered JK flip-flop, the output frequency is 5.00 cycles per second.

Which digital electronics topics appear on GATE 2026 ECE Page 2?

Digital Electronics topics include logic-gate realization, binary ripple counters, JK flip-flops, memory address calculation, decimal complements, Boolean functions using multiplexers and shift-register sequences.

Electronics and Communication Gate 2026 Questions with Answer

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Ques 14 GATE 2026

Consider a real, narrowband signal x(t) = A(t)cos[2πf_ct + θ(t)] where the maximum frequency components of A(t) and θ(t) are f_M and f_c (= 1000 f_M), respectively.
Which of the following statements is/are correct for −∞ < t < ∞?

x(t) represents a PSK modulated signal for suitable choices of A(t) and θ(t).

x(t) represents an amplitude modulated signal for suitable choices of A(t) and θ(t).

x(t) represents a band-limited Gaussian noise process.

x(t) never represents a narrowband FM signal.

() is the correct answer.

Ques 15 GATE 2026

The average bit error rate at the input of a (7, 4, 1) Hamming decoder is 0.10.
The probability that the decoder will fail to decode a received word correctly is __.
(rounded off to two decimal places)

() is the correct answer.

Ques 16 GATE 2026

A control system is shown in the Figure.
Which option represents the correct transfer function of the system?

1/(s+4)²

1/(s+4)

2/(s+4)

1/(s²+8s+17)

() is the correct answer.

Ques 17 GATE 2026

For the control system shown in the Figure, the transfer function of a plant, G(s) = 1/[(s+1)(s+2)] is connected in cascade with a compensator C(s) = K(s + α), where K and α are positive real valued constants.
Which of the following pairs (K, α) represent the correct values for the closed loop system to have poles at (−3 ± j√5)?

2, 3

3, 4

2, 4

3, 3

() is the correct answer.

Ques 18 GATE 2026

The state and output equations for a control system are:

Which of the following expressions correctly represents the transfer function Y(s)/U(s) of the system with zero initial conditions?

3s/(s²+4s−6)

(3s+5)/(s²+4s−6)

(3s+5)/(s²+4s+6)

3s/(s²+4s+6)

() is the correct answer.

Ques 19 GATE 2026

Consider the unity negative feedback control system shown in the Figure.
The value of gain K (>0) at which the given system will remain marginally stable is __.
(Answer in integer)

(1386) is the correct answer.

Ques 20 GATE 2026

In the circuit shown in the Figure, A and B are logic inputs and Y is the logic output.
Which of the following logic operations is realized by the circuit?

NOR

XOR

AND

() is the correct answer.

Ques 21 GATE 2026

A binary ripple counter is designed to count (0)₁₀ to (64)₁₀.
Which of the following is/are the number of flip-flops required to design the counter?

() is the correct answer.

Ques 22 GATE 2026

The negative edge triggered JK flip-flop in the Figure has J and K inputs tied to Logic High and a square wave of 10 cycles/second is applied to its clock (C) input.
The frequency of the output Q (in cycles/second) is __.
(rounded off to two decimal places)

(5.00) is the correct answer.

Ques 23 GATE 2026

The address of the first location of a 256 kilo byte (KB) memory is (2500)_H.
Choose the correct address of the last location of the memory.

(2FFF)_H

(124FF)_H

(424FF)_H

(324FF)_H

() is the correct answer.

Ques 24 GATE 2026

What is the 10′s complement of (47)₁₀?

() is the correct answer.

Ques 25 GATE 2026

A Boolean function, f(x,y,z) with x as MSB and z as LSB is realized by 4:1 multiplexer (MUX) with select lines, S₁ and S₀ (S₁ is MSB, S₀ is LSB) and inputs, I₀, I₁, I₂, I₃ as shown in the Figure.
Which of the following options is the correct expression of f(x,y,z)?

xz + y

xȳ + z

xy + z̄

x̄y + z̄

() is the correct answer.

Ques 26 GATE 2026

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 (b₇b₆b₅b₄b₃b₂b₁b₀) of the content of the shift register immediately after the 5^th clock transition (positive edge)?

00011111

10111111

00111111

11000011

() is the correct answer.

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