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Given $f(w, x, y, z) = \Sigma_m(0,1, 2, 3, 7, 8, 10) + \Sigma_d(5, 6, 11, 15)$; where $d$ represents the 'don't-care' condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of $f(w, x, y, z)$?

  1. $f=(\bar{w}+\bar{z}) (\bar{x}+z)$
  2. $f=(\bar{w}+z) (x+z)$
  3. $f=(w+z) (\bar{x}+z)$
  4. $f=(w+\bar{z}) (\bar{x}+z)$
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A. $\left (\bar{x}+z \right ) \left (\bar{z}+ \bar{w} \right )$

 

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Answer option a).

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