GATE Analog and Digital Electronics: Number Systems and Boolean Algebra – Previous Year Questions

3 GATE previous year questions on Number Systems and Boolean Algebra (Analog and Digital Electronics, Biomedical Engineering) with answers and explanations, from every paper.

1. GATE 2020 BM Q45 (2 marks, Multiple choice) – Match Boolean expressions P= X Y Z+ XY Z+ XYZ, Q=XYZ+X YZ+XY Z, R=XY+XYZ+XY Z+ XYZ, S= X YZ+ XYZ+X YZ+XYZ to K=X(Y+Z), L= X(Y+ Z), M=Z, N=Y(X+Z).
2. GATE 2023 BM Q28 (1 mark, Multiple select) – Q, R and S are Boolean variables and ⊕ denotes XOR. Select the correct statements.
3. GATE 2026 BM Q49 (2 marks, Multiple choice) – Find the minimum sum-of-products expression for the shown four-variable K-map. Empty cells are zeros.