Question $1(45$ marks$)$

Your task is to help verify the total number of rectangle orientations on the chessboard

recorded by the researcher in the table, corresponding to their respective surface areas.

$($a$)$ Generate a Truth Table using inputs derived from the provided

system description of the rectangle surface area. The output in

the Truth Table is HIGH $(1)$ if you can confirm that the researcher

accurately recorded the total number of rectangle orientations on

the chessboard according to their respective surface areas;

otherwise, the result is LOW $(0).$ You may include the Don$$t Care

$($X$)$ condition as needed