A majority function is defined to be 1 when a majority of its inputs is 1, and 0 otherwise. Consider a Boolean Function F of 3 inputs, F(X, Y, Z). F is 1when two or more of the input variables are 1. a) write down the truth table for the function F b) write down the Karnaugh map for the function c) Create an optimal expression to express F as a Boolean function of its inputs. d) Show the implementation of this logical expression using logic gates