Which of the following is a valid canonical Product of Sums (POS) expression ?

2023

Which of the following is a valid canonical Product of Sums (POS) expression ?

  1. A.

    (A)(B)(C)

  2. B.

    (A + B + C)(A' + B' + C')

  3. C.

    (A + B)(C)

  4. D.

    (A + B')(B + C')

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Show answer & explanation

Correct answer: B

A canonical Product of Sums (POS) expression must be a product of maxterms, where every individual sum term contains all the variables of the system in either true or complemented form. Option B features all three variables (A, B, C) in both sum terms. Correct option is B.

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