What is Mod X if X is negative?

What is Mod X if X is negative?

In mathematics, the absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case the minus sign and the negative number form a product which is positive, −x), and |0| = 0.

Can X values be negative?

No, it does not have to be negative: If the original value of x was negative, then –x, the opposite-signed version of x, would have to be positive. For instance, if I start with x = –3, then –x = –(–3) = +3, which is positive.

What is the value of Mod X?

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

Can you have a negative modulus?

Example The modulus of −8 is simply 8. The modulus of a negative number is found by ignoring the minus sign. The modulus of a number is denoted by writing vertical lines around the number. Note also that the modulus of a negative number can be found by multiplying it by −1 since, for example, −(−8) = 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 find the negative interval?

The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero). y-values that are on the x-axis are neither positive nor negative. The x-axis is where y = 0.

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.

What does a negative MOD mean?

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. Subtracting this from a yields the remainder of the division and by that the modulo.

What is the modulus function if x is negative?

The modulus function f (x) of x is defined as; And |x| states modulus or mod of x. If x is positive then the output of the function f (x) will be x only. But if x is negative, then the output of x will be the magnitude of x. Hence, we can redefine the modulus function as:

What is the magnitude of X if x x is negative?

If x x is negative, then f (x) f ( x) will be the magnitude of x x. This means if the value of x x is greater than or equal to 0, then the modulus function takes the actual value, but if x x is less than 0 then the function takes minus of the actual value ‘x’.

What does – (-X) mean in a modular function?

– (-x) = positive value of x. However, there are different cases for a modular function and can mean differently for various contexts. For y = |x|, where x is a real number, i.e. x > 0, since variables can have real values only. Here the modulus function of the real variable stays the positive value of the real number.

Can \% be negative in C89?

Because (a/b) * b + a\%b equals a in all standards, the result of \% involving negative operands is also implementation-defined in C89. Can a modulus be negative? \% can be negative as it is the remainder operator, the remainder after division, not after Euclidean_division.