Feb 28, 2018 · 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 modulo 5.

Dec 7, 2011 · Here's how I usually do it. For example, to calculate 1717 mod 2: Take 1717 / 2. The answer is 858.5; Now take 858 and multiply it by the mod (2) to get 1716; Finally, subtract the original number (1717) minus the number you got from the previous step (1716) -- 1717-1716=1. So 1717 mod 2 is 1.

Jun 13, 2009 · calculate mod using pow function python. 2. How to easily implement C-like modulo (remainder) operation in ...

Feb 1, 2010 · Okay, so you want to calculate a^b mod m. First we'll take a naive approach and then see how we can refine it. First, reduce a mod m. That means, find a number a1 so that 0 <= a1 < m and a = a1 mod m. Then repeatedly in a loop multiply by a1 and reduce again mod m. Thus, in pseudocode:

Now, calculate $5^7\ mod\ 221$, $5^8\ mod\ 221$ and $5^8\ mod\ 221$ (All three of which can easily be calculated using your method in any calculator). $5^7\ mod\ 221 = 112$ $5^8\ mod\ 221 = 118$ $5^8\ mod\ 221 = 118$ Now multiply all the three values, $112 * 118 * 118$, and take its mod with $221$ again. The final answer will give you your answer.

What about $439^4$? (Hint: take your answer for $439^2$ after reducing it mod 713, and then square it again.) In the same way, calculate $439^8, 439^{16}, \dots, 439^{128} \mod 713$. Now just note that 233 = 128 + 64 + 32 + 8 + 1. So multiply the appropriate powers of 439 together - again, one calculation at a time, reducing mod 713 each time.

Mar 21, 2011 · public static int Mod(int a, int n) { return a - (int)((double)a / n) * n; } Edit: wow, misspoke rather badly here originally, thanks @joren for catching me Now here I'm relying on the fact that division + cast-to-int in C# is equivalent to Math.Floor (i.e., it drops the fraction), but a "true" implementation would instead be something like:

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, $1$ quotient and $4$ was remainder. But I have a problem with: $$-11 \mod 7 = 3$$ How come it is $3$? I cannot figure this out using division but if it is ...

Dec 8, 2019 · To calculate the result, the three-argument pow does this efficiently, as mentioned by @MarkDickinson in the comments. A simplified explanation of how this works: to calculate 2**N mod M, first find K = 2**(N//2) mod M; if N was even, 2**N mod M = K * K mod M; if N was odd, 2**N mod M = K * K * 2 mod M That way, there is no need to calculate ...

Sep 23, 2015 · So, If i would like to calculate the value of 6^8 mod 5 using the pow function, what should I put in a line?? In the assumption that You don't need to import it first. I know that pow is used like pow (x, y) = pow (6, 8) = 6^8 and . My guess is . mod.pow(6,8) Thank you!