Question 91

Computer Awareness Boolean algebra Easy

The reduced form of the Boolean function xyz + xyz' + x'yz + xy'z

(A) \(x+yz+xz\)
(B) \(xy+yz+xz\)
(C) \(xy+yz\)
(D) \(x+y+z\)
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Use xyz three times (since X + X = X):

  • \(xyz + xyz' = xy\)
  • \(x'yz + xyz = yz\)
  • \(xy'z + xyz = xz\)

\(F = xy + yz + xz\) (the majority function).

Answer: (B)

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