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GATE ECE 2026 | Question: 38

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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 $f(x, y, z)$?

  1. $x z+y$
  2. $x \bar{y}+z$
  3. $x y+\bar{z}$
  4. $\bar{x} y+\bar{z}$

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