Design a Moore FSM to detect an input sequence of X: 010, the output will be 1. input: 0001010100101.. output: 0000101010010.. a. Draw the state diagram of your design [5 marks] b. Using the binary number as the state assignment, deduce the next state equation of your design. [10 marks] c. Deduce the logic equations of the next state decoder and output decoder with T flop flip as storage elements. [10 marks]