Q1. Sequence Generator with flip-flop, counters

1. Use the minimum number of D flip-flops and logic gates to design a counter that produces the following repeated sequence: 0,1,3,5,6,7,0... and gives an output of 1 when it reaches 7.

(a) Show the state-table of the counter.

(b) Show and simplify the K-Map for each flip-flop.

(c) Implement the circuit derived in (b).