Who can explain the C++ modulo operator logic: why, for example, 3 % 4 is equal to 3?

Question

Why is the modulo operator different in C++ from mathematics?

Code for checking:

#include <iostream>
using namespace std;

int main()
{
cout << 25 % 60 << endl;

return 0;
}

Output: 25

Answer 1

well the modulus operator finds the remainder.

ex:

3 ÷ 4

4 does not divide three into a whole number,
it leaves remainder 3.

Answer 2

25 ÷ 60

leaves remainder

25

Answer 3

Thank you for your answers, but I know what output is going to be generated in certain cases.

What I am actually asking about is the LOGIC: why?.. why not 0?...

Answer 4

@ZyuZick

if there is no remainder the output is zero.

% gives the remainder after dividing.

Answer 5

the modulo operator(%) is used to get the remainder, but in a case where the number being divided is lesser than the one dividing it, then the number being divided, becomes ur answer. e. g
8%2 = 0
8%3 = 2 (becus the remainder is 2)
3%8 = 3 (explanation above)

Answer 6

@Zyuzick

because

n%m == n (while n<m) [ n,m > 0]

n%m == 0 (only when m == n and m is a factor of n)

Answer 7

3%4 means b in 3=4×a + b