diff --git a/notes/ANS Theory.md b/notes/ANS Theory.md
index 9844c7e..f7baf71 100644
--- a/notes/ANS Theory.md	
+++ b/notes/ANS Theory.md	
@@ -10,4 +10,4 @@ Taking a look at the standard binary numeral system, there are two digits in the
 1. We can add a digit to the most significant position. As an example, adding a `1` to the above value would result in `11010`. Doing this means that the added digit stores information about *large ranges*. In the provided example, this means that setting that digit changes the value by 16.
 2. We can add a digit to the least significant position. As an example, adding a `1` to the above value would result in `10101`. Changing the added digit will only change the resulting natural number by 1.
 
-In a standard binary system, the first bit represents the 
+Given that $x$ represents a natural number, and $s$ is the digit we're adding. In a standard binary system, adding $s$ to the least significant position means that in the new number $x$ (before the addition) now represents the Nth appearance of an even (when $s = 0$ ), or odd (when )