(a) Construct a truth table for a three input XOR gate. b) Using the truth table you construct, obtain the Boolean function describing the three input XOR gate (c) Suppose you want to transmit a 3-bit message X Y Z with an even parity bit i.e. You need to construct a cireuit that outputs a parity bit P, such that the 3 message bits and the parity bit taken together have an even number of '1's Give the circuit diagram, with an explanation, of the (even) parity generator (hint: eramine part (a))