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I don't get the meaning of Modulo. Can anybody please explain it

7th Jan 2017, 1:04 AM
datweirdboii
datweirdboii - avatar
2 ответов
+ 7
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.
19th Jan 2017, 12:21 PM
Dhaval Furia
Dhaval Furia - avatar
+ 5
It's known as the remainder operator nowadays. It's extremely similar to division but it returns the remainder. 15 % 7 = 1 7 goes into 15 twice which is 14 with a remainder of 1. Also, if you have any questions be sure to search and see if anyone else asked or if you're adventurous do a Google search.
7th Jan 2017, 1:09 AM
Don
Don - avatar