1. ((10 points) Show a truth table for the following functions 2. (5 points) Express the following function a. Convert the following Boolean function as sum of minterm b. Convert the following Boolean function into product of maxterm. Fy(Unsimphi 3. (5 points) Find the complement of the following expressions: a) Fl-(a+c) (a+b) (a+b+e) b) F2-(A+C) (BC)+(ABC+ACT (5 points) Convert each of the following to the other canonical form: (a)Fx,y,z)m(1,3,5) b) F(A, B, C, D)IIM(3, 5, 8, 11) (6 points) Simplify the following Boolean expressions to a minimum number of literals 4. 5. and draw logic diagram of simplified expression. a) (A +CKAD+AD)+AC+C b) A'BC+ABC ABC+A'BC c) (AB(A'+B)B'+B) 6. For the Boolean function F-XYZ+XYZ+WXY+ WXY+WXY a (5 points) Obtain the truth table of F b. (4 points) Draw the logie diagram, using the original Boolean expression (5 points) Use Boolean algebra to simplify the function to a minimum number of literals d. (5 points) Draw the logic diagram from the simplified expression and compare with the diagram of part (b). Discuss the savings of hardware in terms of no. of gates and no. of inputs 7. (2+2+2+2+2) For the following truth table Function 2 0 0 0 0 0 0 Show the minterms in numerical form Show an algebraic expression in sum of minterms form Simplify the SOP expression a. b. d. Show the maxterm in numerical form Show the algebraic expression in product of maxterm form and draw the logic diagram of the circuit. e