Consider a Boolean function F defined over three input variables, X, Y, Z. F = XY + XY bar + Z a) Fill out the truth table for the function F b) Implement the function F with a decoder shown below. Correctly label all inputs and outputs, Use any logic gates necessary to implement the function (e.g. gates such as NOT, OR, AND). c) Implement the function F with an 8-to-1 Multiplexer (MUX) shown below. Correctly label all input and outputs