Dop 1+970 +9 -OOO OOON Problem 2 (10 points) (a) Given the function 2 - B'C+A'BD + AB', fill in the truth-table below. B D 0 0 0 0 0 0 1 2) 0 + 0 + 0 0 1 0 3) 0 o 1 1 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 OOO- (b) Given the truth table of part (a), implement Zusing a single 16:1 multiplexer shown below. Make sure to clearly label all inputs and outputs. Z B 16:1 MUX 9 10 11 14 15 $3 52 5150 (c) Given the truth table of part (a), implement Z using a single 8:1 multiplexer shown below. Tryt use as few other gates as possible. Make sure to clearly label all inputs and outputs