Consider function F(A, B, C) = A C' + B C. a) Obtain both sum of products and product-of sums for a complement of F (i. e., SOP and POS forms for F'). Apply DeMorgan's law to F', minimize the standard forms if possible: delete consensus term(s) if any. b) Obtain the AND-OR-INVERT (AOI) = AND-NOR implementation for function F: assign true or complemented variables to inputs of the Aol. c) Obtain the OR-AND-INVERT (OAI) = OR-NAND implementation for function F: assign true or complemented variables to inputs of the OAI gate below (right) in order to obtain F at the gate output.