You may never have heard of modular arithmetic, but you use it every day without the slightest difficulty. In this system, numbers wrap around when they reach a certain size called the modulus; it ...

Specification The project aims to create a library that contains all useful functions for modular arithmetic.

Modular arithmetic, even when disguised as a rounding problem, can be just as simple, if not simpler. The technique discussed here works for any constant N , delivers solutions even when x has 32 or ...

When presenting expressions, we saw examples of common arithmetic operations: addition, subtraction, multiplication, and division. Here we will present two additional operations which are closely ...

In this module you will be learning five major properties. 1.Properties of addition in modular arithmetic: 2.Properties of subtraction in modular arithmetic: 3.Properties of multliplication in modular ...

This chapter presents a rigorous treatment of modular arithmetic. This leads into linear algebra, which is important for its applicability to coding, especially the class of linear codes. The chapter ...

Various modulo arithmetic units can then be easily designed through a unique formula and can also be machine implemented. The modulo arithmetic units using this design approach are usually simpler ...

This issue of Students Explorations in Mathematics introduces students to modular arithmetic and its applications. This activity will help develop students’ problem-solving strategies and provide ...