Design a Moore$-$type state diagram $($outputs depend on current state only$)$ to implement the system described below. The system has $3$ inputs and $2$ outputs.

Inputs:

CLK $-$ represents the system clock.

$a,b-$ coin selection inputs specified in the table below.

$\backslash$table$[[a,b,$Description$],[0,0,$No coin$],[0,1,$Received $$0\mathrm{.}05],[1,0,$Received $$0\mathrm{.}10],[1,1,$Received $$0\mathrm{.}25]]$

Outputs:

$u,v-$ action taken outputs specified in the table below.

$\backslash$table$[[u,v,$Description$],[0,0,$Do nothing$],[0,1,$Dispense a water$],[1,0,$Give $$0\mathrm{.}05$ change$],[1,1,$Give $$0\mathrm{.}10$ change$]]$

Details about the design:

The price of a water is $$0\mathrm{.}15.$

The machine can accept $$0\mathrm{.}25,$$$0\mathrm{.}10,$ and $$0\mathrm{.}05$ coins.

The machine dispenses a water as soon as it has received $$0\mathrm{.}15$ or more.

EE $2742-$ Spring $2024-$ Lab $7$

$2$

If the amount received exceeds $$0\mathrm{.}20,$ then return the correct change to the customer.