I know how to solve mod using division i.e. $$11 \\mod 7 = 4$$ For this I did a simple division and took its remainder: i.e. $$11 = 7 \\cdot 1 + 4$$ Where $11$ was dividend, $7$ divisor, $1$ …

Jan 9, 2013 · I was wondering what would happen if we tried to do a modulo operand with complex numbers? For instance, what would be the answer (if any) to the next statement? $ x …

I completely understand the concept of modulus arithmetic and grasp all the main ideas. The only thing I don’t understand is equivalence classes. The formal definition is: Another interpretatio...

Dec 3, 2024 · This is fairly common to use when you need to move back and forth between integer and modular arithmetic. In particular, programming languages usually have such an …

I need some help with this problem: $$439^{233} \\mod 713$$ I can't calculate $439^{223}$ since it's a very big number, there must be a way to do this. Thanks.

Sep 4, 2017 · My question is rather simple as I'm interested about modulus and multiplication, specifically whether it holds that $(a*b)\\,mod\\,n=(a\\,mod\\,n)*(b\\,mod\\,n)$?

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value So the point of modular arithmetic is to do our normal …

Mar 31, 2015 · Explore related questions modular-arithmetic See similar questions with these tags.

Jan 5, 2014 · 6 I am searching for some good book which section is devoted to modular arithmetic. I am self learner so I strongly prefer that book has exercises best with answers or …

Oct 21, 2015 · Given the following recurrently defined sequence of integers: a0 = 3, an = 5(an−1) + 8 Prove by induction that all elements in this sequence are congruent to 3 modulo 4, or in …