Basic Calculations In Modular Arithmetic
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 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.