# HOW BINARY NUMBERS WORK

A while ago I released BitMarkers - binary stitch markers for knitters and crocheters. I didn't worry too much about a supporting how-to or blog page, because there are a lot of binary number tutorials on the interwebs. But after seeing that the most popular ones tend to dive straight into exponential notation and math-heavy explanations, I decided to go ahead and write my own. This is intended for beginners, and focuses on re-learning how numbering systems work in hopefully a more intuitive way. Then it goes into exponents at the very end.

### Binary Counting Method 1 - Rolling over Bits

### Binary Counting Method 2 - The Places

### Binary Counting Method 3 - Exponents

- Any number to the exponent of 1 is just itself. 3^1 = 3. 52^1 = 52.
- Any number to the exponent of 0 is 1. Always. 3^0 = 1. 524^0 = 1. 1^0 = 1.

Now we're ready to explain to our alien visitor how decimal numbers work using exponents, because each digit's place can also be thought of in terms of exponents.