how does the modulus work? still dont get it

Answer 1

let's first know what's division here. it will clear the doubt about modulus operation.
take an example: 5/3 . here 5 --> dividend, 3 --> divisor and / --> division operator.
as we know when we devide one number by another one result will have two entities. one is 'quotient' and the other one is 'remainder'.

when we devide 5 by 3 , it yields 1 as 'quotient' and 2 as 'remainder'.
In computer programming languages such as c, c++ and Java etc. / operator used to output quotient. and % operator used to output remainder.

Hence, 5/3=1 and 5%3=2.

Answer 2

See my "% Modulus explained" code to understand in a way, you may have learnt at school
https://code.sololearn.com/c2fRl6x893E7/?ref=app

Answer 3

Here's a quick rundown of how modulus works. Take the following as the equation your using:

11 % 2;

Here, we are basically doing do 11 / 2 however, 2 cannot go into 11 perfectly.
So, we divide 11 as much as we can without having a fraction or decimal in the end.
So, 2 can go into 11 five times.

2 * 5 = 10

Now you take 11 and subtract it by 10:

11 - 10 = 1

Here you have your remainder.

Now, modulus simplifies this in that it crams all of this work into one sign.

TL;DR Version:

Modulus shortens the work needed to get the remainder from integer division.

I hope this helps!

Answer 4

thank u so much!

Answer 5

No problem!

Answer 6

thanks