GATE EC 2026 Set 1 Q38 — Combinatorial Circuits

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, $\mathrm{S}_{1}$ and $\mathrm{S}_{0}\left(\mathrm{~S}_{1}\right.$ is MSB, $\mathrm{S}_{0}$ is LSB) and inputs, $\mathrm{I}_{0}, \mathrm{I}_{1}, \mathrm{I}_{2}, \mathrm{I}_{3}$ as shown in the Figure.

Which of the following options is the correct expression of $f(x, y, z)$?