3- Given the Boolean function: F(A,B,C) = [A`BC+A (A+B+A BC) (A+B+C)]L - Complete the following truth table by inserting 0 or 1 for F. A B F 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 ii- Select the correct logic diagram of the original Boolean expression for F from the following; Answers a- b- A B DD B F BEDA D:D A Do B B A26 C- d- A DoD D. A B B B F Ao B D:D A B :DD e- f-NONE A ) D ROD B :DD - Which one of the following represents the simplified algebraic expression for F: a- A+B+C - AB+C C-A'+B+C d- A'(B*C+BC") e- A B +AC f-NONE Answers iv- Draw the logic diagram for the simplified expression and match it with one of the following diagra Answers a- b- C- Ba BO C- D. DD A B d- f- NONE BO RDD A V- Insert the total number of 2-input gates used for the simplified and original Boolean experssions in the following table (Hint; consider the NOT gate as 2-input gate): Original Simplified function function