Binary addition O Level/IGCSE Cambridge Computer Science

Binary addition is the process of adding two binary numbers together. In binary, there are only two digits, 0 and 1, so the addition is similar to decimal addition, but with a different set of rules. Here's how binary addition works:

-0 + 0 = 0: When you add two 0s in binary, the result is 0.

- 0 + 1 = 1: Adding 0 and 1 results in 1.

- 1 + 0 = 1: Adding 1 and 0 also results in 1.

- 1 + 1 = 10: When you add two 1s in binary, the result is 10. The 1 is written in the current position, and the carry (1) is propagated to the next higher position.

Here's an example of binary addition:

```
1011
+ 1101
-------
10100
```

In this example, we're adding the binary numbers 1011 and 1101. Starting from the rightmost bit (the least significant bit), we add the bits column by column, taking carry into account. The result is 10100 in binary.

Just like in decimal addition, you can carry over when the sum of two bits in a column is 2 (which is represented as 10 in binary). Binary addition is a fundamental operation in computer arithmetic and digital logic circuits.