Boolean Expression: [(x * y) + (x' * z)] + (y * z') Which of the following…
2025
Boolean Expression: [(x * y) + (x' * z)] + (y * z')
Which of the following options is the correct simplified form?
- A.
xyz' + xz'y
- B.
(x' * z) + y
- C.
(x * y) + (x + z')
- D.
(x z' y) * (x' + z')
Attempted by 18 students.
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Correct answer: B
First, expand the expression to xy + x'z + yz'. Group terms involving y: y(x + z') + x'z. Apply Boolean identities to simplify the grouped terms and eliminate redundancy. The final simplified form is (x' * z) + y, verified by truth table comparison.