Using K-map, simplify the Boolean function: F(x, y, z) = S (0, 2, 4, 5, 6)…

2024

Using K-map, simplify the Boolean function: F(x, y, z) = S (0, 2, 4, 5, 6) Which of the following is simplified function?

  1. A.

    F = z + x'y'

  2. B.

    F = z' + xy'

  3. C.

    F = z + x'y

  4. D.

    F = z' + xy

Attempted by 78 students.

Show answer & explanation

Correct answer: B

Minterms 0, 2, 4, and 6 have z = 0, so they form the term z'.

Minterms 4 and 5 have x = 1 and y = 0, so they form the term xy'.

Therefore, F = z' + xy'.

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