Part $1$: Designing Coffee Vending Machine $($Prelab$)$

Suppose we wish to design a digital circuit for a coffee machine sell the

coffee for $3$ Dhs$.$ The machine accepts $1$ AED coins only. It does not

accept $25$ or $50$ Fills. When the customer enters one Dirham the coin slot

sends logical $1$ and when the customer puts the wrong coin it sends logical

$0.$

In another word, we need to design a circuit that detects a sequence of

exactly three $1"$s $($not necessarily consecutive$)$ in a string of bits coming

through an input line. Make sure to include all design steps $($state

diagram, state table, and circuit maker file$).$ Provide both hardcopy,

and soft copy of your circuit.

Table $4\mathrm{.}1$ below shows the inputs and the states for a test case. After

finishing the circuit, you can use the table to test your circuit.

Table $4\mathrm{.}1$