GATE CSE 2025 Session 2 Q43: Expressions equal to a four-variable K-map

Given the following Karnaugh Map for a Boolean function $F(w, x, y, z)$ :

Which one or more of the following Boolean expression(s) represent(s) $F$ ?

Try it: multiple select: one or more correct options

Select all correct options. No negative marking, no partial marks.

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Answer: A, D (official GATE 2025 final answer key)

Concept used: With Gray-code ordering (00, 01, 11, 10), the four corners form $\bar{x}\bar{z}$ and the centre block forms $xz$ .

First step: Group the four corner 1s and the central 2×2 block of 1s; then expand each option into minterms and compare.

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Source: official GATE 2025 Session 2 CS question paper and final answer key, organised by IIT Roorkee. Question paper · Answer key