Q$3.$

Imagine a simple vending machine. It gives you a "EnergyAid" drink every time you insert $$4.$

You can only insert a $$1$ bill at each time.

This machine is a Mealy machine

The input and output of the machine are $B$ and $E$ respectively.

When you insert a bill, $B$ is $1.$ Otherwise $B$ is $0.$

When the machine gives you a drink, $E$ is $1.$ Otherwise $E$ is $0.$

$($a$)$ Draw a state diagram for the simple vending machine.

$($b$)$ Fill in a state table with state assignment for the simple vending machine.

$($$$0($S$0)$: $00,$ $$1($S$1)$: $01,$ $$2($S$2)$: $10,$ $$3($S$3)$: $11)$

C$)$ fill in an excitation table

D$)$ Fill in K$-$maps and provide a minimum SOP implementation of state and output

E$)$ Draw the state diagram as if This FSM were implemented as a Moore FSM