You are asked to design a synchronous counter that will count the sequence 1>2>3>1. (a) [2 marks] Represent these decimal numbers in 2 bits binary numbers. (b) 22 marks] Write down the state table. (c) [4 marks] Find the functions for the next state of the state table using K-map. (d) [3 marks] Draw the circuit (You need to consider D flip-flops as memory unit)