Given a K map, minimize the Product of Sums

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Discussion Overview

The discussion revolves around minimizing a Sum of Products equation derived from a Karnaugh map (K map). Participants are evaluating and correcting each other's proposed solutions, focusing on the accuracy of the minimized expression.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents an initial minimized expression: $$\bar{y} \bar{w} + wx + y\bar{z}w + yw\bar{x}$$.
  • Another participant suggests a different expression: $$\bar{y} \bar{w} + \bar{w}x + y \bar{z} w + yw\bar{x}$$, indicating a potential correction.
  • A third participant proposes a shorter alternative: $$\bar{w}\bar{y} + xy\bar{z} + w\bar{x}y$$, implying that it is a more efficient minimization.
  • A later reply acknowledges the correction and agrees that the three-term answer is indeed correct, attributing the solution to another participant.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best minimized expression, as multiple competing views and corrections are presented throughout the discussion.

Contextual Notes

There are indications of potential grouping errors and differing interpretations of the K map, which may affect the proposed solutions. The discussion does not resolve these uncertainties.

shamieh
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Awesome thanks.. Mind checking this as well?

Minimize Sum of Products equation given the following K map.

My Answer: $$\bar{y} \bar{w} + wx + y\bar{z}w + yw\bar{x} $$
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Shouldn't that be $\bar y \bar w+\mathbf{\bar{w}x} + y \bar z w+yw\bar x$
 
BAdhi said:
Shouldn't that be $\bar y \bar w+\mathbf{\bar{w}x} + y \bar z w+yw\bar x$
Yes, but $\bar{w}\bar{y}+xy\bar{z}+w\bar{x}y$ is shorter.
 
Ahh I see. The correct answer is the 3 term answer provided by Evgeny..Looks like I was grouping wrong, or unnecessarilly. Thanks guys.

Sham
 

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