Part 5/6:
- For 23, the remainder is 5, so it corresponds to the number 5 in this system.
The Flexibility and Power of Modular Arithmetic
This ability to reduce any integer to a number within a fixed range—such as 1 through 9 or 0 through 11—makes modular arithmetic invaluable in computer science, cryptography, and number theory.
It simplifies calculations involving repetitive cycles.
It allows for elegant solutions to problems involving periodicity.