6. Identify the most simple POS expression which generates the K-map shown.

  1. (A+C')(A+B+C)
  2. (A+B)(A+C')(B+C')
  3. (A'+B')(A'+C)(B'+C)
  4. (A'+C)(A'+B'+C')
  5. (A+B)(A'+C)(B'+C)

3 is CORRECT. The expression entered into the K-map is F=(A'+B')(A'+C)(B'+C), obtained by grouping the 0-entries to give a SOP expression for F', followed by complementation of the later expression to yield a POS expression for F.

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