Design a synchronous sequential circuit that generates the repeating sequence of decimal numbers 0, 15, 30, 40, 50, 0, 15, 30, ... (a) (b) (c) (d) (e) (f) Indicate all the inputs and outputs that are required to realise such a circuit. (2 marks) Make a suitable state assignment to guide your design. Write a state transition table to assist in your design. (4 marks) (5 marks) Write a state excitation table to design the sequential circuit using D-type flip- flops. (6 marks) Draw the final logic circuit that results from your design. Show the flip-flops interconnections and indicate any logic functions required for the inputs (no need to show the gate implementation of flip-flop inputs). (4 marks) Discuss how to generate the multi-bit outputs with values 15, 30, 40, 50 without replicating unnecessary flip-flops. (4 marks)