What are base conversions?

Base conversions are when we switch between different number systems to make counting or doing math easier.

Imagine you have a bag of 10 colorful marbles, red, blue, green, and so on. You can count them using your fingers: one by one, up to 10. That’s like the base-10 system, which we use every day. But what if you had only 2 fingers? Then you might think in groups of 2, that's like the binary system or base-2.

Let’s say you have 5 marbles, and you're using base-2:

• You put 2 marbles in one hand (that’s 1 group of 2),
• Then you have 3 left. Put another 2 in your other hand,
• Now you have 1 marble left.

So, 5 marbles in base-2 would be 101, because it's 4 + 1 = 5 (in base-10). It’s like having a special code for each group size!

Just like how we count on our fingers in base-10, computers count using base-2 with just two states: on and off. Base conversions are the key to switching between these number systems, it's like changing languages so different kinds of machines can understand each other!