# If there is any technical terminology which describes the odd-even properties of the numbers?

Suppose we define a function which returns $$1$$ if the number is even and $$0$$ if the number is odd:

\begin{align} S\left(x\right) = \left\{\begin{array}{lr} 0 & \text{if x is odd} \\ 1 & \text{if x is even} \end{array}\right. \end{align}

Now, I am wondering if there is word to describe the output of this function? What can I put in the blank below?

The value of S(x) shows the .......... of the number $$x$$.

I know that one can say other different sentences to imply what this function does, but I am specifically curious to know if there is any technical terminology which describes the odd-even properties of the numbers. This is just an example to make my question more understandable. Thanks.

• "the parity"${}$? May 30, 2020 at 6:45
• Parity should be a suitable word May 30, 2020 at 6:46
As mentioned in the comments, saying that $$S(x)$$ displays the parity of $$x$$ would be just fine.