Question $3(30$ pointe$)$ Consiact the detion of a Moore bipe T a accessed, ie$,$ if the TV is at CHIt betore the button it pressed, it will charge to CHQ as soon as CS as preatiod Otherwee. a wit stay at the currect chaniel.

Requtroments:

$($i$)$ The channel, selection una of the rensote controlier has one inout namely. CS and thee cotouts CH$1,$ CHa and CHa.

$($i$)$ The CS input a LOW $($Logic of as long as the CS button is not pressed and goes HiGH $($Logic $1)$ when the button is pressed.

$($ii$)$ Onty one of the cutouts CH$1,$ CH$2$ and CHO will be HIGH at the same tine and it depends which channel is to be selected.

$($iv$)$ The state representing CHi wili be encoded as $01,$ the state reptesenting CH$2$ will be encoded as $10$ and Chy as $11.$

$($v$)$ Thore is one state that is not used. The unused state will directly move to the state of CHt$\text{'}$ but af outbuts most bo zero so that no channel will be solectod during that transition?

a$)(10$ points$)$ Derve the state diagram of the circuit

b$)(10$ points$)$ Derive the state table of the circut?

c$)($to points$)$ if T type fip$-$sops are used in the circut. derive the simplited