GATE EC || DIGITAL LOGIC || SEQUENTIAL CIRCUIT || PYQS (2000-2025)

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Question 1

For the circuit shown in the figure, the delay of the bubbled NAND gate is 2 ns, and that of the counter is assumed to be zero.

Screenshot-2025-09-22-164811

If the clock (Clk) frequency is 1 GHz, then the counter behaves as a

( GATE 2015 || EC || MCQ || 1 MARK )

  •  mod-5 counter

  • mod-6 counter


  • mod-7 counter

  • mod-8 counter


Question 2

Five JK flip-flops are cascaded to form the circuit shown in the figure. Clock pulses at a frequency of 1 MHz are applied as shown. The frequency (in kHz) of the waveform at Q3 is:

Screenshot-2025-09-22-160840

( GATE 2014 || EC || MCQ || 1 MARK )

  • (62.4 to 62.6)

Question 3

In the circuit shown, choose the correct timing diagram of the output (Y) from the given waveforms W1, W2, W3 and W4

Screenshot-2025-09-22-161134
Screenshot-2025-09-22-161253
.


(GATE 2014 || EC || MCQ ||1 MARK)

  • W1

  •  W2


  •  W3

  •  W4


Question 4

The outputs of the two flip-flops Q1, Q2 in the figure shown are initialized to 0, 0. The sequence generated at Q1 upon application of clock signal is

Screenshot-2025-09-22-162250

(GATE 2014 || EC || MCQ || 1 MARK)

  • 01110

  • 01010

  •  00110

  • 01100

Question 5

The circuit shown in the figure is a: ( GATE 2014 || EC || MCQ || 1 MARK )
  • Toggle flip-flop
  • JK flip-flop
  • SR Latch
  • Master-Slave D flip-flop

Question 6

A mod-n counter using a synchronous binary up-counter with synchronous clear input is shown in the figure. The value of n is: ( GATE 2014 || EC || NAT || 1 MARK )

  • 7

Question 7

The figure shows a binary counter with synchronous clear input. With the decoding logic shown, the counter works as a

Screenshot-2025-09-22-163316


(GATE 2015 || EC || MCQ || 1 MARK)

  •  mod-2 counter

  • mod-4 counter

  • mod-5 counter

  •  mod-6 counter

Question 8

The circuit shown consists of J-K flip-flops, each with an active low asynchronous reset input. The counter corresponding to this circuit is: ( GATE 2015 || EC || MCQ || 1 MARK )
  • a modulo-5 binary up counter
  • a modulo-6 binary down counter
  • a modulo-5 binary down counter
  • a modulo-6 binary up counter

Question 9

An SR latch is implemented using TTL gates, as shown in the figure. The set and reset pulse inputs are provided using the push-button switches. It is observed that the circuit fails to work as desired. The SR latch can be made functional by changing

Screenshot-2025-09-22-164007

(GATE 2015 || EC || MCQ || 1 MARK)

  • NOR gates to NAND gates

  • Inverters to buffers

  • NOR gates to NAND gates and inverters to buffers

  • 5V to ground

Question 10

A three-bit pseudo-random number generator is shown. Initially, the value of output Y = Y2Y1Y0 is set to 111. The value of output Y after three clock cycles is

Screenshot-2025-09-22-164222


( GATE 2015 || EC || MCQ || 1 MARK)

  • 000

  • 001

  • 010

  • 100

There are 41 questions to complete.

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