The GATE Grind

GATE Digital Circuits: Combinatorial Circuits – Previous Year Questions

29 GATE previous year questions on Combinatorial Circuits (Digital Circuits, Electronics and Communication Engineering) with answers and explanations, from every paper.

  1. GATE 2017 EC Q53 (2 marks, Multiple choice) – Which one of the following gives the simplified sum of products expression for the Boolean function F = m 0 + m 2 + m 3 + m 5, where m 0, m 2, m 3 and…
  2. GATE 2015 EC Q46 (2 marks, Multiple choice) – The Boolean expression F(X, Y, Z) = XYZ + XYZ + XYZ + XYZ converted into the canonical product of sum (POS) form is
  3. GATE 2015 EC Q47 (2 marks, Numerical answer) – All the logic gates shown in the figure have a propagation delay of 20 ns. Let A = C = 0 and B = 1 until time t = 0. At t = 0, all the inputs flip…
  4. GATE 2015 EC Q48 (2 marks, Multiple choice) – A 3-input majority gate is defined by the logic function M(a, b, c) = ab + bc + ca. Which one of the following gates is represented by the function…
  5. GATE 2016 EC Q27 (1 mark, Multiple choice) – The output of the combinational circuit given below is
  6. GATE 2016 EC Q52 (2 marks, Multiple choice) – Identify the circuit below.
  7. GATE 2016 EC Q53 (2 marks, Multiple choice) – The functionality implemented by the circuit below is
  8. GATE 2018 EC Q18 (1 mark, Multiple choice) – The logic function f(X,Y) realized by the given circuit is
  9. GATE 2018 EC Q19 (1 mark, Multiple choice) – A function F(A,B,C) defined by three Boolean variables A, B and C when expressed as sum of products is given by F= A B C+ A B C+A B C where, A, B, and…
  10. GATE 2018 EC Q41 (2 marks, Multiple choice) – A four-variable Boolean function is realized using 41 multiplexers as shown in the figure. The minimized expression for F(U,V,W,X) is
  11. GATE 2018 EC Q57 (2 marks, Numerical answer) – The logic gates shown in the digital circuit below use strong pull-down nMOS transistors for LOW logic level at the outputs. When the pull-downs are…
  12. GATE 2019 EC Q23 (1 mark, Multiple choice) – A standard CMOS inverter is designed with equal rise and fall times ( n= p). If the width of the pMOS transistor in the inverter is increased, what…
  13. GATE 2019 EC Q24 (1 mark, Multiple choice) – In the circuit shown, what are the values of F for EN = 0 and EN = 1, respectively?
  14. GATE 2019 EC Q25 (1 mark, Multiple choice) – In the circuit shown, A and B are the inputs and F is the output. What is the functionality of the circuit?
  15. GATE 2019 EC Q63 (2 marks, Numerical answer) – A CMOS inverter, designed to have a mid-point voltage V I equal to half of V dd, as shown in the figure, has the following parameters: V dd=3 V nC…
  16. GATE 2020 EC Q20 (1 mark, Multiple choice) – The figure below shows a multiplexer where S 1 and S 0 are the select lines, I 0 to I 3 are the input data lines, EN is the enable line, and F(P,Q,R)…
  17. GATE 2021 EC Q41 (2 marks, Multiple choice) – The propagation delays of the XOR gate, AND gate and multiplexer (MUX) in the circuit shown in the figure are 4 ns, 2 ns and 1 ns, respectively. If…
  18. GATE 2022 EC Q19 (1 mark, Multiple choice) – Consider the 2-bit multiplexer (MUX) shown in the figure. For OUTPUT to be the XOR of C and D, the values for A 0, A 1, A 2, and A 3 are .
  19. GATE 2022 EC Q27 (1 mark, Multiple select) – Select the Boolean function(s) equivalent to x+yz, where x, y, and z are Boolean variables, and + denotes logical OR operation.
  20. GATE 2022 EC Q28 (1 mark, Multiple select) – Select the correct statement(s) regarding CMOS implementation of NOT gates.
  21. GATE 2022 EC Q49 (2 marks, Multiple select) – Consider a Boolean gate (D) where the output Y is related to the inputs A and B as, Y=A+ B, where + denotes logical OR operation. The Boolean inputs…
  22. GATE 2023 EC Q23 (1 mark, Multiple choice) – In the circuit shown below, P and Q are the inputs. The logical function realized by the circuit shown below is
  23. GATE 2024 EC Q19 (1 mark, Multiple choice) – For the Boolean function F(A,B,C,D)= m(0,2,5,7,8,10,12,13,14,15), the essential prime implicants are .
  24. GATE 2024 EC Q40 (2 marks, Multiple choice) – A 4-bit priority encoder has inputs D 3, D 2, D 1, and D 0 in descending order of priority. The two-bit output AB is generated as 00, 01, 10, and 11…
  25. GATE 2025 EC Q23 (1 mark, Multiple choice) – A 3-input majority logic gate has inputs X, Y, and Z. The output F of the gate is logic ‘1’ if two or more of the inputs are logic ‘1’. The output F…
  26. GATE 2025 EC Q24 (1 mark, Multiple choice) – A full adder and an XOR gate are used to design a digital circuit with inputs X, Y, and Z, and output F, as shown below. The input Z is connected to…
  27. GATE 2026 EC Q20 (1 mark, Multiple choice) – 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…
  28. GATE 2026 EC Q48 (2 marks, Multiple choice) – 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, S 1 and S 0 (S 1 is MSB, S 0 is LSB)…
  29. GATE 2026 EC Q56 (2 marks, Multiple select) – Consider the four-variable Boolean function, f(w,x,y,z)= m(0,2,5,7,8,10,13,14,15) with ‘w’ as MSB and ‘z’ as LSB. Which of the following expressions…