Design a sequencer using D flip-flops that has two cycles. The even cycle sequences 0,2,4,6 and repeats. The odd cycle sequences 1,3,5,7 and repeats. An external input selects which cycle to perform. An input of 0selects the even cycle; an input of 1 selects the odd cycle. The cycles can be entered and exited only through states 0 and 1. Produce the following

(a) a state diagram
(b) a transition table
(c) k maps and reduce expression
(d) a logic diagram for the sequencer