Name: 2. You are tasked to design an even detector for a 4-bit input word. Stated succinctly, set the detector output to "on" (logic 1) if the number of 1's in the input is even, and the detector output is "off" (logic 0) otherwise. Let X1, X2, X3, and 4 be the input variables representing the 4-bit input: a) Find the truth table that describes this function. (10 pts) b) Determine the MSOP for this function (5 pts) c) Determine the MPOS for this function (5 pts)