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The digital logic shown in the figure satisfies the given state diagram when Q1 is connected to input A of the XOR gate. Suppose the XOR gate is replaced by an XNOR gate. Which one of the following options preserves the state diagram?

1. Input A is connected to Q2
2. Input A is connected to Q2
3. Input A is connected to Q1 and S is complemented
4. Input A is connected to Q1

Correct answer: Input A is connected to Q1 and S is complemented

Solution

Connecting input A to Q1 and complementing S ensures that the output behavior of the XNOR gate matches the original state diagram, as the XNOR gate outputs true when both inputs are the same, which aligns with the intended logic when S is inverted.

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