Question $3(30$ pointa$)$ Consicer the design of a Moore bype sequential circuit kor the channel mearch part of a hasd held remole controller for tire TV wet wah three channels CHI. CF$2$ and CH$3.$ There is the CS iChannel Search$)$ button on the controller, As long as this bulken is pressed, next channel on the charge to Cte an soon as CS is pressed. Othenwise. if will stay at the current channel.

Requirements:

$($i$)$ The chanrel selection unit of the remole controller has cone ioput. namely CS and thre outeuth $CH,$ CH$2$ and $CH3.$

$($ii$)$ The CS input is LOW $($Logie o$)$ as kong as the CS button is not pressed and goes Hestr chogic $1$