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# Basic Calculations In Modular Arithmetic

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Duration: 38 minutes
Lectures: 3
Video: 38 minutes
Level: Beginner Modular arithmetic is the type of arithmetic that is concerned with the remainder when an integer is divided by a fixed non-zero integer.

It is a system of arithmetic for integers, where numbers “wrap around” – kind of like a cycle when they reach or get to a certain value, Known as modulus or moduli in plural. The word remainder as used in the refers to the excess in number after a full cycle has been completed.

## Modulo

Modulo or modulus denoted by “mod” is the divisor representing one cycle.

In technical form, we can define modulo-plural form, moduli- as a fixed non-zero integer that divides another integer to yield a quotient and a reminder.

Now, we perform the following divisions in mod 5 to determine the number  of cycles as well as the remainder in each case:

• Introduction To Modular Arithmetic
• Addition and Subtraction in Modular Arithmetic
• Multiplication and Division in Modular Arithmetic

### What is the target audience?

• Math Beginners
• Learners who want a refresher course.

### INTRODUCTION

1
Introduction To Modular Arithmetic
5 min 54 secs

### MAIN

1
Addition and Subtraction in Modular Arithmetic
18 min 14 secs
2
Multiplication and Division in Modular Arithmetic
10 mins 40 secs
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