Thank you for the thorough answer; it's much appreciated.  My confusion is from the resultant initial equation from the K-map (A'B'C' + A'BC + AB'C + ABC') that requires further algebraic manipulation in order to be simplified to two XOR's. Isn't the K-map supposed to give the simplest answer?  Obviously, in this case, the K-map equation requires further simplification.  (I, myself, figured out the first two steps before the initial submission of the question, but was confused as to why we have to further simplify a K-map equation for the function

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Compensation Techniques

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