PLEASE USE THE MOORE MACHINE TO SOLVE THIS FOR QUESTION $($a$).$ REFER TO THE EXAMPLE POSTED IN THE PICTURE.

Provide a design of the sequential circuit for the vending machine controller:

One product sells for $$0\mathrm{.}40,$ and the machine takes only quarters $($input Q$)$ and dimes $($input D$)$ with an output signal I for product release and a few necessary output signals for change release $($if there is change to return$),$ for example, C$5$ for a $5-$cent change, C$10$ for a $10-$cent change, etc.. No other signals are used.

$($a$)$ Show the complete state diagram and state transition table.

$($b$)$ How many flip$-$flops are needed? Draw a block diagram of the circuit showing the key blocks, signals, and wires.

$($c$)$ How many K$-$maps are needed to derive the complete circuit?