$2.$ You are required to develop an automatic irrigation machine for a company, AgroBD Ltd$.$ Now, there are $4$ different sensors to regulate the irrigation machine $($to pump water into the land$).$ Sensors will check soil humidity, rainfall at land, soil temperature and water level at tank$.$ Now, the machine will turn on if both soil humidity and$/$or temperature is high, but rainfall, and water level is low. Without the mentioned condition, irrigation machine will not operate and considered as dont care condition.

$($i$)$ Prepare simplified logic expression for the digital system and,

$($ii$)$ Sketch the simplified logic expression using CMOS logic.