Design a one-input, one-output sequence detector which produces an output 1 every time the sequence 1101 is detected in the input, and an output 0 at all other times. The circuit is also required to recognize overlapping sequences, as can be seen in the output string z that results from the following input x. Use JK-flip-flops. Show all steps, state diagram, state table, truth table, k-map, final circuit design with JK-FF, and output y in logical expression. X:001011010011011011000 Z: 000000010000010010000

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