Modulo 12

Definition

Modulo 12 is a mathematical system where numbers reset after reaching 12, much like the hours on a clock. Calculations are performed by finding the remainder when one number is divided by 12.

5 Must Know Facts For Your Next Test

1. In modulo 12, the numbers range from 0 to 11.
2. Addition and multiplication in modulo 12 wrap around after reaching 12.
3. When you add or multiply two numbers in modulo 12, if the result is greater than or equal to 12, you subtract 12 to get the final answer.
4. The notation 'a ≡ b (mod 12)' means that a and b have the same remainder when divided by 12.
5. Modulo arithmetic is used in various fields including cryptography, computer science, and timekeeping.

Review Questions

• What is the result of \(10 + 4\) in modulo 12?
• How do you express '14' in modulo 12?
• What does '7 x 3' equal in modulo 12?

Related terms

Clock Arithmetic: A type of modular arithmetic using a fixed number of hours as its modulus.

Congruence Relation: An equivalence relation indicating that two numbers have the same remainder when divided by a given modulus.

Modulus: The number at which values reset in modular arithmetic.