calculating MOD on a calculator

Posted on 2008-11-13
Last Modified: 2012-06-21
I am trying to figure out how to calculate MOD on a calculater and the following website seems to work well for large numbers;
but what if I want to calculate 10MOD11 which I know is -1
I do as follows;
0.909*11=10 ??

Can someone clarify how to calculate this on a calculator?

Question by:jtiernan2008
    LVL 73

    Accepted Solution

    as was mentioned in your previous question,  -1 and 10 are both "correct" answers to the MOD question.  Which one you really want depends on exactly the question being asked.

    So, what exactly is it you want to do?

    If you want the -1 result,  is that because 10 is smaller than 11?

    If so,  then for a < b
    you can get your negative results like this ....  b*(a/b) - b  
    for a>= b you will get your results like this...  b*(a/b)
    LVL 73

    Expert Comment

    in the above (a/b) should be the fractional remainder of that division, not the division itself.

    LVL 22

    Expert Comment

    In modulo 11 arithmetic, -1 is equivalent to 10.  

    5 + (-1) = 4
    5 + 10 = 15, but we're modulo 11 so 15 = 4 + 11 = 4.

    Whenever a + b*m = c + d*m, a and c are equal modulo m.
    LVL 1

    Author Closing Comment

    those formuales are actually better than what is on the website

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