Problem $2)(30$ points$)$

Derive the Boolean expressions and construct the truth tables for the logic gate diagrams shown in Figures P$2($a$)$ and Figure P$2($b$).$

Use a typing software like MS$-$Word or LaTeX, save your answer as a pdf file with the following naming convention: firstname$\_$lastname$\_$HW$2\_$p$2.$pdf and upload it to BilgiLearn. If the submitted file doesn't meet these conditions, you can get at most $5$ points from this question.