Using Altera Quartusll Design an $AC$ control system that will turn on heat or cooling based on the inputs. the circuit, has $4$ inputs, and outputs.

the inputs are:T$1$TO:

indicate if $01$ room temp. higher than set temp.

M$1$MO:

if $11$ or $00$ room temp. equal set temp. if $10$ room temp. lower than set temp.

if $11,$ then the $\frac{A}{C}$ is off if $10,$ then the heating is on$.$

if $01,$ then the cooling is on$.$ if $00,$ then the auto mode is on$.$

The outputs:

$H$ : output is $1,$ to turn heater on

C: output is $1,$ to turn chiller on $-$ operation:

during heating mode, turn the heater on$,$ when temp. is colder than set temp.

during cooling mode, turn the chiller on$,$ when temp. is warmer than set temp.

on auto mode, turn Heater on when temp is cooler, and turn chiller on when temp is higher

if the $\frac{A}{C}$ is off, then neither is on

Part$1$: fill in the truth table

$\backslash$table$[[$Inputs$,$Outputs$],[$M$1,$M$0,$T$1,$T$0,$H$,$C$,],[0,0,0,0,,,],[0,0,0,1,,,],[0,0,1,0,,,],[0,0,1,1,,,],[0,1,0,0,,,],[0,1,0,1,,,],[0,1,1,0,,,],[0,1,1,1,,,],[1,0,0,0,,,],[1,0,0,1,,,],[1,0,1,0,,,],[1,0,1,1,,,],[1,1,0,0,,,],[1,1,0,1,,,],[1,1,1,0,,,],[1,1,1,1,,,]]$