Python modulo negative numbers

Python modulo negative numbers

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Moving on to the topic at hand, let's discuss how Python handles modular arithmetic with negative numbers.

In Python, when you perform modular arithmetic using the % operator, the result is always in the range of the modulus value. This means that if the modulus value is positive, the result will be between 0 and the modulus value (exclusive). However, things get interesting when you start dealing with negative numbers.

When you have a negative number as both the dividend and the modulus, Python will wrap the result around to the positive range of the modulus. For example:

>>> -10 % 5
-10 % 5 = 0

In this case, the result is simply 0 because the remainder when -10 is divided by 5 is indeed 0.

Now, let's consider what happens when you have a negative number as the dividend and a positive modulus:

>>> -10 % 4
-10 % 4 = 2

Here, Python calculates the remainder as if the numbers were positive. In this case, -10 divided by 4 leaves a remainder of 2.

Lastly, let's look at what happens when you have a negative number as both the dividend and the modulus:

>>> -5 % -3
-5 % -3 = 1

In this case, Python wraps the result around to the positive range of the modulus. So, -5 divided by -3 leaves a remainder of 1.

To summarize, when you're working with modular arithmetic in Python, you need to be mindful of the sign of both the dividend and the modulus. The rules are:

I hope this clarifies how Python handles modular arithmetic with negative numbers.

Div in Python

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