For the logic function F(A, B, C, D) defined by the following Karnaugh map in which "X" denotes the "don't care" term: CD AB 00 01 11 10 000X 00 01 1 1 11 1 X 01 10 X 1 0 0 1 1 1 (a) Find minimal sum-of-products (SOP) expression(s) for the logic function F(A, B, C, D). (6 marks) (b) Find minimal product-of-sums (POS) expression(s) for the logic function F(A, B, C, D) . (6 marks) (c) Determine the number of necessary gates (AND, OR, NOT) to implement (realize) the obtained functions in parts (a) and (b). (No need to sketch the circuit diagrams). (5 marks) (d) Based on part (c), determine which solution (SOP or POS) leads to the simpler design. (6 marks) For the logic function F(A, B, C, D) defined by the following Karnaugh map in which "X" denotes the "don't care" term: CD AB 00 01 11 10 000X 00 01 1 1 11 1 X 01 10 X 1 0 0 1 1 1 (a) Find minimal sum-of-products (SOP) expression(s) for the logic function F(A, B, C, D). (6 marks) (b) Find minimal product-of-sums (POS) expression(s) for the logic function F(A, B, C, D) . (6 marks) (c) Determine the number of necessary gates (AND, OR, NOT) to implement (realize) the obtained functions in parts (a) and (b). (No need to sketch the circuit diagrams). (5 marks) (d) Based on part (c), determine which solution (SOP or POS) leads to the simpler design. (6 marks)