Modular arithmetic is a system of arithmetic for integers, where numbers wrap around upon reaching a certain value called the modulus. This system is fundamental to many areas of mathematics, ...

I'm sure FPGA logic designers have often heard it said: “We just need to take this number mod 3.” Or maybe something like, “Just round to the nearest hundred.” This latter case really means: “Take the ...

This project is a C++ implementation of a basic calculator that performs standard arithmetic operations such as addition, subtraction, multiplication, and division. It's designed with clean, modular ...

This paper discusses the use of residue (single and multiple modulus) arithmetic in computing the Moore-Penrose pseudoinverse of a matrix. The process can ...

Algebraic geometry, the study of solutions to polynomial equations and their geometric properties, finds rich interplay with class field theory—a branch of number theory that classifies abelian ...

Abstract: We consider very short sums of the divisor function in arithmetic progressions prime to a fixed modulus and show that “on average” these sums are close to the expected value. We also give ...

Abstract: Arithmetic error-control codes (ECCs) have been designed to protect the integrity of data being transmitted and/or processed. The implementation of an ECC involves constructing an ...