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, ...

This C# program efficiently calculates "a^b mod n" using fast modular exponentiation algorithm. Ideal for cryptography and large number computations.

Abstract: This paper presents an arithmetic module generator based on an arithmetic description language called ARITH. The use of ARITH makes it possible to describe a wide variety of arithmetic ...

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 ...

One of my fellow contributors here recently wrote a post about leap years and why we have them. This reminded me of modular arithmetic and the formula for calculating the day of the week for any date ...

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