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Discrete Math: Modular Arithmetic

Please provide an explanation of Modular Arithmetic. I find it very confusing and am having trouble understanding the definitions and applying them.

If you could include some samples of some of the operations that might help.

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Here is my very *basic* introduction to modular arithmetic. After all, hundreds if not thousands Ph.D. theses were written on the subject ...

Solution Summary

The expert examines modular arithmetic for discrete math.