Does modulo work with negative numbers?

Does modulo work with negative numbers?

The modulo operator returns the remainder of a division. But things get a little more tricky when you throw negative numbers into the mix. Doing an integer division and then multiplying it again means finding the biggest number smaller than a that is dividable by n without a remainder.

What happens when you modulo a negative number?

Modulo and remainder operators differ with respect to negative values. With a remainder operator, the sign of the result is the same as the sign of the dividend (numerator) while with a modulo operator the sign of the result is the same as the divisor (denominator).

How do you mod a negative number?

Adding a thumb rule to all the answers above: negative number modulo k = k minus positive number modulo k. To find (−n)%k just find k−(n%k). Ex: (−144)%5=5−(144%5)=5−(4)=1.

How do you change a negative modulo to a positive?

You can add some multiple of 5 to the negative number first, to convert it to a positive number with the same value mod 5.

How do I turn a negative number positive in Python?

In order to convert that negative number to a positive one, we could use abs(). Our code returns: 11. If we had not specified abs(), our program would have returned -11 because the difference between 20 and 31 is -11. However, because we used abs(), our program returned an absolute value.

What is negative remainder?

Generally speaking, if n is divided by m and it leaves a remainder r, the negative remainder in this case is -(m – r). When n is divided by 7, it leaves a remainder of 4. This is equivalent to a remainder of -3. When we divide 1555 by 13, we get a quotient of 119 (irrelevant to our question) and remainder of 8.

Are mods always positive?

Is modulus always positive? The answer is “Yes”. Reason: The value of modulus of any number is always positive.

How do you make a negative number absolute?

The absolute value of a negative number makes it a positive number. Placing absolute value bars around 0 doesn’t change its value, so |0| = 0. Placing a minus sign outside absolute value bars gives you a negative result — for example, –|6| = –6, and –|–6| = –6.

How do I make a negative number positive in C++?

Make sure that the compiler you use is GNU GCC Compiler. Click Compiler Settings, and inside the tab opened click Compiler Flags. Scroll down until you find: Have g++ follow the C++ 11 ISO C++ language standard [-std=c++11]. Check that and then hit OK button.

What does the modulo of negative numbers mean?

Modulo of Negative Numbers. The modulo or often referred to as mod represents the remainder of a division. In 1801 Gauss published a book covering modular arithmetics. Later a widely accepted definition was given by Donald Knuth. Doing an integer division and then multiplying it again means finding the biggest number smaller than a

How to get negative result using modulo operator in JavaScript?

The % (modulo) operator in JavaScript gives the remainder obtained by dividing two numbers. There is a difference between % (modulo) and remainder operator. When remainder or % (modulo) is calculated on positive numbers then both behave similar but when negative numbers are used then both behave differently.

How to perform modulo with negative values in Python?

What happens behind the scene is that Python applies the distribute law of Modulo operator which is – This was done so that the (-2*4)%4 will give the answer as 0 (as we are always getting a multiple of divisor as our first number) and the overall result will be 3.

Can a modulo op be negative after Division?

% can be negative as it is the remainder operator, the remainder after division, not after Euclidean_division. Since C99 the result may be 0, negative or positive. The modulo OP wanted is a classic Euclidean modulo, not %.