The GATE Grind

GATE Digital Logic: Combinational Circuits – Previous Year Questions

9 GATE previous year questions on Combinational Circuits (Digital Logic, Computer Science) with answers and explanations, from every paper.

  1. GATE 2016 CS Q40 (2 marks, Multiple choice) – Consider the two cascaded 2-to-1 multiplexers as shown in the figure. [Figure: The first 2-to-1 MUX has input 0 tied to 0, input 1 tied to R, and…
  2. GATE 2019 CS Q40 (2 marks, Multiple choice) – Consider three 4-variable functions f 1, f 2, and f 3, which are expressed in sum-of-minterms as f 1=(0,2,5,8,14), f 2=(2,3,6,8,14,15), f…
  3. GATE 2026 CS (CS2) Q59 (2 marks, Numerical answer) – Consider the digital circuit shown below with two input lines A and B, two select lines S 0 and S 1, and an output line Y. The blocks Q and M…
  4. GATE 2025 CS (CS2) Q31 (1 mark, Multiple select) – Consider the following logic circuit diagram. [Figure: inputs X and Y feed a NAND gate, a NOT gate on X, and an AND gate taking X and Y; the three…
  5. GATE 2024 CS (CS1) Q28 (1 mark, Multiple select) – Consider the circuit shown below where the gates may have propagation delays. Assume that all signal transitions occur instantaneously and that wires…
  6. GATE 2024 CS (CS1) Q64 (2 marks, Numerical answer) – Consider three 2-to-1 multiplexers M1, M2, M3. X1 and X2 are inputs of M1, X3 and X4 are inputs of M2, and A, B, C are the select lines of M1, M2, M3…
  7. GATE 2023 CS Q44 (2 marks, Multiple choice) – A Boolean digital circuit is composed using two 4-input multiplexers (M1 and M2) and one 2-input multiplexer (M3) as shown in the figure. X0–X7 are…
  8. GATE 2022 CS Q40 (2 marks, Multiple choice) – Consider a digital display system (DDS) shown in the figure that displays the contents of register X. A 16-bit code word is used to load a word in X,…
  9. GATE 2020 CS Q29 (1 mark, Numerical answer) – A multiplexer is placed between a group of 32 registers and an accumulator to regulate data movement such that at any given point in time the content…