12. (13 pts.) Given Boolean functions: F(a,b,c)= m (0, 1, 4, 6, 7), G(a,b,c):n M (0, 2, 3, 4), H(a,b,c)= F XNOR G; a) (6 pts) Develop the Truth Table for the three functions (on the same table). b) (4 pts) Express the function F as an expanded maxterms using product of sums, and function G as an expanded minterms using sum of products (do not use short hand notation, but write down all products and sums openly). c) (3 pts) Implement the function H using a 2-level OR-AND circuit (show logic schematic). Assume inverters are available