In this question, you will design a Moore-type state machine with three output bits. The machine will repeatedly output the sequence 001,001, 101, 111,000,000, 100, 110. (a) (20 points) Draw a state diagram for the machine (b) (20 points) Write a state-assigned table to specify the next state logic and the output logic. Write down your state assignment clearly. Note that the state assignment cannot be the same as the output bits here. (c) (20 points) Write the canonical sum-of-product expressions for the next state logic and the output logic. Make the expressions as simple as you can (d) (20 points Draw a circuit which implement the state machine using D flip-flops and some basic gates