a) Use Boolean algebra to simplify the Boolean expression X = A.B.A.B. Which logic gate has the same Boolean expression as X? (4 marks) b) Use Boolean algebra to simplify the Boolean expressions F = A(A'+AB). (4 marks) c) Convert the Boolean expression F= A'B+AB' to POS. (4 marks) d) Convert the Boolean expressions X = (A+B)(C+B) to the sum of minterms canonical form. (4 marks) e) Convert the Boolean expressions X = (A+B)(C+B) to the product of maxterms canonical form. (4 marks)