The GATE Grind

GATE Digital Circuits: Number Representations – Previous Year Questions

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

  1. GATE 2020 EC Q48 (2 marks, Multiple choice) – P, Q, and R are the decimal integers corresponding to the 4-bit binary number 1100 considered in signed magnitude, 1's complement, and 2's complement…
  2. GATE 2021 EC Q21 (1 mark, Multiple choice) – If (1235) x=(3033) y, where x and y indicate the bases of the corresponding numbers, then
  3. GATE 2024 EC Q29 (1 mark, Numerical answer) – In a number system of base r, the equation x2-12x+37=0 has x=8 as one of its solutions. The value of r is .
  4. GATE 2026 EC Q45 (2 marks, Multiple choice) – What is the 10's complement of (47) 10?