A Plain Approach to Teach Modular Arithmetic

Abstract – This paper emphasizes the advantage to use the operational notation for modular arithmetic which we proposed, using additional definition and formulas. The domain of the operators is not the set of the integers or the polynomials but the set of the real numbers or the z-transform of the right-sided sequences. Index Terms – Operational notation, Chinese remainder theorem, cyclic code encoder, two-sided z transform, rational expression