pLZzz! Modules operation....

Question

Hey! I've problem, which is that:

How can I solve this.....

2%-8;

I know that modules operation but problem is when the left operand is positive and right operand is negative and left-right reverse then how can I solve problem by manually?

*pLZzz*

Answer 1

2 % 8 = 2
because 2 / 8 is 0+2r

2 % -8 = -6
because 2 / -8 is 0-6r

and so on...

Answer 2

Different languages might have this differently resolved. In Python:

2 % 8 = 2
2 % -8 = -6
-2 % 8 = 6
-2 % -8 = -2

Answer 3

You can not "shorten" this. It is not the division operator - it returns the *remainder* of the division. If you divide the two numbers of the division, surely the remainder will be different. But that will be a totally new operation.

Answer 4

I assume that you were expected an answer of 2? When I run this in python I get -6. This is fine because 2 and -6 are the same in mod8.

Answer 5

I don't think I was very clear. 2 is equal to -6 in mod8. Try both 2%8 and -6%8 in python and you will see that both output 2. This is because both 2 and -6 are 2 greater than a multiple of 8.

Answer 6

r is the remainder which is what modulus function returns

Answer 7

2% -8;

2 /-8=-6; which is true for modulo:

if I short this 1/-4=-3; which is true for modulo.

then why the answer is 2. Is here other method for modules...

Answer 8

-6 is I get by manually but 2 how can I get this answer by manually

Answer 9

here 'r' is what?

Answer 10

what means 0+2r and 0-6r. Plzz I'm very suspect, explain.