Which of the following is a valid SOP expression?

2023

Which of the following is a valid SOP expression?

  1. A.

    (A + B)(A + C)

  2. B.

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

  3. C.

    AB + BC + AC

  4. D.

    (A + C)(B + C)

Attempted by 128 students.

Show answer & explanation

Correct answer: C

The correct answer is Option C: AB + BC + AC. SOP stands for Sum of Products. In Boolean algebra, an SOP expression is formed by ORing (summing) two or more ANDed (product) terms. Here, AB, BC, and AC are product terms, and they are added together, making it a valid SOP form.

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