The Boolean function x'y' + xy + x'y is equivalent to
2004
The Boolean function x'y' + xy + x'y is equivalent to
- A.
x' + y'
- B.
x + y
- C.
x + y'
- D.
x' + y
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Correct answer: D
Given: x'y' + xy + x'y
Step 1: Factor x' from x'y' + x'y to get x'(y' + y) = x'.
Step 2: So the expression becomes x' + xy.
Step 3: Use distributive law: x' + xy = (x' + x)(x' + y) = 1*(x' + y) = x' + y.
Conclusion: The given Boolean function is equivalent to x' + y.
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