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

GATE · 2025 · CS · Set 2 · Computer Science & IT

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?

  1. A.

    wˉxˉyˉzˉ+wxˉyˉzˉ+wˉxˉyzˉ+wxˉyzˉ+xz\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y \bar{z}+x z

  2. B.

    wˉxˉyˉzˉ+wˉxˉyzˉ+wxˉyz+xz\bar{w} \bar{x} \bar{y} \bar{z}+\bar{w} \bar{x} y \bar{z}+w \bar{x} y z+x z

  3. C.

    wˉxˉyˉzˉ+wxˉyˉzˉ+wxˉyˉz+xz\bar{w} \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} \bar{z}+w \bar{x} \bar{y} z+x z

  4. D.

    xˉzˉ+xz\bar{x} \bar{z}+x z

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