Question 1 [10 marks]
(a) Calculate the dual of the following. 
(b) Find the compliment of F(a,b)=ab’+a’b 
(c) Write the product of sum of the Boolean function, F(A,B,C) whose output is 0 only when,
(d) Using the truth table prove that (a+b)’+(a+b’)’=a’ 
(e) Simplify the following Boolean expression to a minimum number literals: 
ABC + A′B + ABC′
Question-2 [10 marks]
(a) Convert the following infix expression in to post fix form. 
((A/B)+C) * (D/(E-F))
(c)A link list is formed from the objects of the class. 
Write a function to compute and return the sum of all integers items stored in the linked list.The method declaration is given below.
Question 3 [5 marks]
Give the Boolean function F(A,B,C,D)= Σ(0,1,2,3,5,6,7,10,13,14,15) using K-map to reduce it in SOP form, draw logic gate diagram from the reduced from.