By using D flip-flops, design a synchronous counter count as follows: 1,7,2,4,6,3. The unused states are set to 111.

(i) draw state diagram (ii) make exitation table for D flip flop. (iii) define the flip flop to be used (iv) construct present/next states table and also adding the control inputs based on the excitation table of the flip flop. (v) draw k-map and derive the expressions. (vi) draw the circuit.