(Solved): Design a synchronous counter using D flip flops that goes through the sequence 26175 an ...

Design a synchronous counter using D flip flops that goes through the sequence $2?6?1?7?5$ and repeat. (Hint: there are unused states which must be considered as don't cares) a) Fill the following state table that shows present state, next state and flip flop inputs. Do not delete any row or column from the table. You must fill all the rows and columns shown below. Do not change letters $\mathrm{A},\mathrm{B}$ and $\mathrm{C}$ to any other letter. Your solution will not be graded if you do not follow these instructions. b) Draw k-maps and obtain filp flop input equations $D_N,D_{11}$ and $D_{\text{. }}$. c) Draw the circuir diagram. Properly label the flip flop inputs and outputs. d) What happess if the circuit goes to one of the unused sates? Stiow your method of malysis. e) Show a stane diagram, indicating what happeus will the unused states.