(Solved): a) Using Boolean rules and theorems simplify the Boolean expression given below (Mention the rules ...

a) Using Boolean rules and theorems simplify the Boolean expression given below (Mention the rules used for each step). (10 Marks) \[ F=(X+Y) \overline{\bar{X}(\bar{Y}+Z)}+\bar{X} \bar{Y}+\bar{X} \bar{Z} \] b) Realise the Boolean expression given above and the simplified expression obtained, using Basic Logic gates and justify the need for simplifying the Boolean expression. (15 Marks) \( 4 . \) a) Obtain the Canonical SOP for the Boolean expression given below and write the minterms. \[ F(A, B, C, D)=A C+A \bar{B} D+A \bar{C} \] (7 Marks) b) For the minterms obtained in (i) get the simplified SOP and POS using K-Map. (10 Marks) c) Realise the simplified SOP and POS obtained in (ii) using basic logic gates (8 Marks)