1. (14 pts.) Given Boolean functions: F(a,b,c)-a.(b0c)', G(a,b,c)-c.(a+a'.b'), and H(a,b,c)- (F G) (6 pts.) Using K-map find the minimal POS expression for H (4 pts) Implement the function H using a 2-level OR-AND circuit (show logic schematic). Assume inverters are available. (4 pts) Show implementation of the function H using NOR gates and inverters only Show if and how your answer to question (a) above changes if you find that input combination (a,b,c) 101 never actually happens in this digital system. a) b) c) d)