You are asked to design a synchronous counter that will count the sequence 1>2>3>1. (a) 22 marks Represent these decimal numbers in 2 bits binary numbers. (b) 12 marks) Write down the state table. (c) [4 marks) find the functions for the next state of the state table using Krmap (d) 13 marks) Draw the circuit (Yrou need to consider D flip-illops as memory unit)