Okay kiddo, let me tell you about base4. You know how we usually count to ten using our ten fingers, right? Well, in base4 we only use four fingers to count. Instead of going from 0 to 9 like we do in base10, we go from 0 to 3 in base4.
Imagine you have a bunch of apples and you want to count them in base4. You would count them like this:
- 1 apple = 1
- 2 apples = 2
- 3 apples = 3
- 4 apples = 10
- 5 apples = 11
- 6 apples = 12
- 7 apples = 13
- 8 apples = 20
- 9 apples = 21
- 10 apples = 22
- 11 apples = 23
- 12 apples = 30
See how we start over at 0 when we reach 4? That's because we only have 4 digits to work with in base4.
Now, why would we ever need to use base4 instead of our usual base10? Well, computers use base2, also known as binary, which only uses 0 and 1. But sometimes it's easier to work with groups of four digits, so we use base4. It can help save storage space and make things like code more efficient.
So that's base4 in a nutshell, little one. Happy counting!