Design a counter using J-K flip-flops that will execute the numerical sequence 3, 2, 0 repetitively (i.e. decrementation). Unwanted states should be directed into wanted states that give the simplest logic functions. You should:

(a) Identify the number of required JK flip-flops. (1 mark) (b)

Draw an excitation table for the counter. (5 marks) (c)

Obtain minimal excitation logic functions for your counter using k-maps. (4 marks)

(d) Sketch a full logic diagram.