Apr 27, 2018 · The modulo operation (I will use $\%$ for that here) is an operation, like addition, subtraction, multiplication and division. It is something you do to two numbers to get a result. …

modulo division is defined as (a/b) mod n After defining above arithmetic operations we just happened to have found out that this is true, (a+b)mod n = (a mod n + b mod n) mod n which …

In the context of cryptography, I need to find the private key of a message and I need to use modular arithmetic. I understand how modular arithmetic using a clock with whole numbers. …

One method is simply the extended Euclidean algorithm: \begin {align*} 31 &= 4 (7) + 3\\\ 7 &= 2 (3) + 1. \end {align*} So $ 1 = 7 - 2 (3) = 7 - 2 (31 - 4 (7)) = 9 (7) - 2 (31)$. Viewing the …

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, $1$ …

Mar 8, 2017 · Textbooks usually state " it is not hard to check that in modular arithmetic the usual associative, commutative and distributive properties continue to apply ". Is there a way other …

May 16, 2015 · 16 I really can't get my head around this "modulo" thing. Can someone show me a general step-by-step procedure on how I would be able to find out the 5 modulo 10, or 10 …

Jan 9, 2013 · The quick answer is: Yes, it is quite possible and indeed very productive to define the idea of congruence modulo a complex number rather than an ordinary positive integer. A …

Modulo arithmetic with big numbers? Ask Question Asked 14 years, 7 months ago Modified 14 years, 7 months ago

There are actually several different concepts here, so I'll try to address all of them. I'll get to the modular arithmetic in just a moment, but first a review: SQUARE ROOTS We should know that …