This project implements neural networks for performing modular arithmetic tasks, specifically modular addition and multiplication. The neural network models are trained and evaluated using a dataset ...

Abstract: Modular multiplication is used in a wide range of applications. Most of the existing modular multiplication algorithms in the literature often focus on large size moduli. However, those ...

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 is ...

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 ...

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 ...

Tier 0 covers the full operand range (10 sub-levels from 1-digit to 1233-digit) as pure multiplication without modular reduction. This allows diagnosing whether a model fails at high tiers due to ...

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 ...