Evaluate -3,605 mod 8.

Evaluate -3,605 mod 8=-5

To find the mod of a negative number, first find a sufficiently large multiple of the base and add this number to the original negative number to get a positive number.

To find this number:  since the base is 8, divide 3605 by 8:  3605/8  =  450.625, so I'll have to add 451 x 8.

451 x 8  =  3608

(-3605) mod 8  =  (-3605 + 3608) mod 8  =  (3) mod 8  =  3.

Thanks, geno.......!!!

I have to admit.....I have a little trouble wrapping my head around why geno's answer makes sense......here is a good explanation of  evaluating the mod of a negative number :

http://mathforum.org/library/drmath/view/52343.html