(ii) [2] You are asked to design a synchronous counter that will count the sequence 0 > 2 > 7 > 0. Represent these decimal numbers in 3 bits binary numbers.

(iii) [2] Draw the state diagram.

(iv) [3] Give the state table.

(v) [6] Find the functions for the next state of the state table using K-map.

(vi) [4] Draw the circuit (You need to consider D flip-flops as memory unit).