Simplified Boolean function of F=A′C+A′B+AB′C+BC is

2023

Simplified Boolean function of F=A′C+A′B+AB′C+BC is

  1. A.

    F=C+A′B

  2. B.

    F=A′B+B′C

  3. C.

    F=BC+A′B

  4. D.

    More than one of the above

  5. E.

    None of the above

Attempted by 158 students.

Show answer & explanation

Correct answer: A

F = A'C + A'B + AB'C + BC

= A'C + AB'C + A'B + BC

= C(A' + AB') + A'B + BC

= C(A' + B') + A'B + BC

= A'C + B'C + A'B + BC

= A'C + A'B + C

= C + A'B

Final Answer:

F = C + A'B

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