Ever wondered how computers do math? It all comes down to binary, a number system with just two digits: 0 and 1. Adding binary numbers might seem daunting, but it's surprisingly simple once you grasp the basics.
Think of it like regular addition, but instead of carrying over at 10, you carry over at 2. Here's the key:
* 0 + 0 = 0
* 0 + 1 = 1
* 1 + 0 = 1
* 1 + 1 = 10 (This means you write down a '0' and carry-over a '1' to the next column).
Let's say we want to add 101 (binary) and 011 (binary):
101
+ 011
-----
1000
Starting from the right: 1 + 1 = 10. Write down 0, carry-over 1. Next, 0 + 1 + 1 (carry-over) = 10. Write down 0, carry-over 1. Finally, 1 + 0 + 1 (carry-over) = 10. Write down 10.
So, 101 + 011 equals 1000 in binary. Practice a few examples, and you'll be adding binary numbers like a pro in no time! You are one step closer to understanding how your computer works!