7. Given the Boolean function below: F(A,B,C,D)=(5,6,7,12,14,15)D(A,B,C,D)=(3,9,11).(thedontcarecondition) (a). Simplify the function above as sum of product and draw the corresponding logic diagram. Show all prime implicants and all essential prime implicants. (5 marks) (b). Simplify the function above as product of sum and draw the corresponding logic diagram. Show all prime implicants and all essential prime implicants. (5 marks) (c) Provide a two-level NAND-NAND implementation for the given function. (4 marks) (d) Provide a two-level NOR-NOR implementation for the given function. (4 marks) (e) Provide the AND-OR-INVERT implementation of the given function. (4 marks) (f) Provide the OR-AND-INVERT implementation of the given function. (4 marks)