A sequential circuit has one flip-flop; two inputs, X and Y; and one output, S. It consists of a full-adder circuit connected to a JK flip-flop, as shown. Fill in the truth table for this sequential circuit by completing the Next State and Output columns.

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XXN Y Full adder Present state Q(t) 0 0 0 0 1 1 1 1 Inputs X Y 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 C J Clock Next state Q(t+1) Description Q Output S S