1 Design a one-input, one-output sequence detector which produces an output 1 every time the sequence 1011 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: 0001011001011101101100 Z: 0000001000001000100100