+ 4
I dont quite understand how modulo is used plz xplain
i dont get it how it operates with the numbers unlike in subtration and addition
2 Answers
+ 4
In simple words, a%b gives the remainder when a is divided by b
Most students are taught that "Dividend = Divisor * Quotient + Remainder"
In more sophisticated language, this is the Division Algorithm : For any integers a and b such that b is non-zero, there exist unique integers q and r such that a = b*q + r where 0<=r<b
So a%b gives r
For example, 9 = 2*4 + 1
So 9%2 = 1
Another way to think about it is something like this.
Imagine you have 26 apples and you want to pack them in groups of 7.
26%7 will give you the number of apples left after all the groupings are done.
In this case, you will get 3 groups of 7 apples accounting for 21 apples with 5 apples left. These 5 apples cannot be packed into groups of 7 as 5<7
So 26 = 7*3 + 5
This means 26%7 = 5
Note that making 0 groups is allowed, but the number of remaining apples should be less than that in each group.
+ 2
It's use to get the remainder of a number for example
11%7
would be equal to 4.