Discussion
What will be the output of the following logic diagram ?
Answer: C
The circuit gives x XOR y. The top AND gate receives x and the complement of y, and the bottom AND gate receives the complement of x and y. The OR gate combines them:
\[ F = x \cdot \bar{y} + \bar{x} \cdot y \]
This expression is the exclusive-OR, which is 1 only when x and y differ. OR and AND would not need the inverters, and XNOR is the complement, 1 when the inputs are equal.
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