Ever wondered how computers perform calculations? It all boils down to binary addition! Don't be intimidated – it's surprisingly simple. Just like regular addition, we add numbers column by column. But instead of digits 0-9, we only use 0 and 1.
Here's the key:
* 0 + 0 = 0
* 0 + 1 = 1
* 1 + 0 = 1
* 1 + 1 = 10 (This is '2' in binary, so we write down '0' and carry-over '1' to the next column, just like carrying over in decimal addition).
Let's try an example: 11 + 01
* Rightmost column: 1 + 1 = 10. Write down '0', carry-over '1'.
* Next column: 1 (original value) + 0 (original value) + 1 (carry-over) = 10. Write down '0', carry-over '1'.
* Since there are no more columns, we write down the final carry-over '1'.
Therefore, 11 + 01 = 100. See? Not so scary! Understanding binary addition is a fundamental step in grasping how computers process information.
