We appreciate your visit to 5 8 1 Z12 because 5 8 13 and 13 divided by 12 leaves a remainder of 1 multiplication is often called clock arithmetic as. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Yes, you are correct. In modular arithmetic, also known as clock arithmetic, we perform addition and multiplication operations within a fixed modulus. In this case, the modulus is 12.
When we add 5 and 8 in modulo 12 arithmetic, we get:
5 + 8 = 13
However, in modulo 12 arithmetic, we divide the result by 12 and take the remainder:
13 mod 12 = 1
Therefore, 5 + 8 is congruent to 1 modulo 12 (5 + 8 ≡ 1 (mod 12)).
In clock arithmetic, we can visualize the concept by imagining a clock with 12 hours. Adding 5 hours to the current time of 8 hours will give us 1 hour, as we "wrap around" the clock.
The sliders you mentioned can be used to experiment with different values of n, a, and b to observe the results of addition and multiplication in modulo n arithmetic.
To know more about multiplication refer here
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