当第一个数小于第二个数时，模数除法 [英] Modulus division when first number is smaller than second number

问题描述

如果这是一个简单的问题，我很抱歉，但是当第一个数字小于第二个数字时，我无法理解模数除法的概念。例如，当我的书中1％4表示余数为1.我不明白1是1％4的剩余部分。
1/4是0.25。我在考虑模数除法错误吗？

I apologize if this is a simple question but I'm having trouble grasping the concept of modulus division when the first number is smaller than the second number. For example when 1 % 4 my book says the remainder is 1. I don't understand how 1 is the remainder of 1 % 4.
1 / 4 is 0.25. Am I thinking about modulus division incorrectly?

推荐答案

首先，在Java中，％是余数（非模数）运算符，它的语义略有不同。
也就是说，你需要考虑整数除法，就好像没有小数值一样。可以将其视为存储无法分割的项目：您可以将大小为4的零项目存储在总容量为1的存储中。存储最大数量的项目后，您的剩余容量为1。同样，13％5是3，因为你可以在13个存储空间中容纳2个完整的5号物品，剩余容量 13 - 2 * 5 = 3 。

First, in Java, % is the remainder (not modulo) operator, which has slightly different semantics. That said, you need to think in terms of integer-only division, as if there were no fractional values. Think of it as storing items that cannot be divided: you can store zero items of size 4 in a storage of overall capacity one. Your remaining capacity after storing the maximum number of items is one. Similarly, 13%5 is 3, as you can fit 2 complete items of size 5 in a storage of size 13, and the remaining capacity is 13 - 2*5 = 3.

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