You are asked to design a synchronous counter that will count the sequence 1 > 2 > 3 > 1.

1. [2 marks] Represent these decimal numbers in 2 bits binary numbers.
2. [2 marks] Write down the state table.
3. 14 marks] Find the functions for the next state of the state table using K-map.
4. [3 marks] Draw the circuit (You need to consider D flip-flops as memory unit).