why "-2 mod 4 = -2" ??????

Here is a website that will help you.. :)

http://www.miniwebtool.com/modulo-calculator/

why "-2 mod 4 = -2" ??????

 

think of a clock only put 0 up the top instead of 12.

That that is representative of mod 12

 

what is  -3mod12 ?

 

well start at 0 and count backwards (counter clockwise) and you get to -3  

OR where is this as a positve number?    it is 9        (12-3=9)

 

so using the same type of logic, you have a circular face.   0 is at the top and 1,2,3 are round the outside.

That is representative of mod 4

 

-2 mod 4 = -2 or +2

 

I do not understand why you thought it should be 0 ??