Homework #1 Full score: 100 pts 1. [15 pts] A Circuit examines a string of 0's and 1's applied to the X input and generates an output Z=1 only when the input sequence is 110. The input X and the output Z change only at rising edge of the clock. Derive (a) state diagram (Mealy sequential logic), (b) state table & transition table, (c) D flip-flop input and output Z equations for the sequence detector logic (provide the Karnaugh map). Also, (d) provide logic circuits for the Mealy sequential circuit. Below is a sample input sequence X and output Z: X= Z= 00011000011001100 00000100000100010

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