Let f(A, B) = A' + B. The simplified expression for f(f(x + y, y), z) is:
2002
Let f(A, B) = A' + B. The simplified expression for f(f(x + y, y), z) is:
- A.
x' + z
- B.
xyz
- C.
xy' + z
- D.
None of these
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Correct answer: C
The correct answer is Option C. First evaluate the inner function: f(x + y, y) = (x + y)' + y = x'y' + y. Using the Boolean identity a + bc = (a + b)(a + c), we get y + x'y' = (y + x')(y + y') = x' + y. Now apply the outer function: f(x' + y, z) = (x' + y)' + z = xy' + z. Hence the simplified expression is xy' + z.