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In decimal when you get to 10 you write a single digit in the current column and carry 1 to the next column (left, more significant). Binary is just the same except it's 2 that brings you to the carry - there are only two single digits 0 and 1.

I don't think so i'm talking about binary addition(base 2). I don't know how to do it. But i could use an example showing me what to do.

An example was already given.

Here's a few other examples:

Code:

0010
+ 0101
------
0111
0011
+ 0001
------
0100
0101
+ 1011
-------
0000 <--- Note in this example, the most significant bit of the result rolled out of existence.

It's the same as adding in any other base. Base 2, base 8, base 10, base 16, it all works the same.

Start at the LSB, add the numbers together. If you overflow that digit (2 in base 2, 8 in base 8, 10 in base 10, etc), then carry the 1 into the next most significant column and repeat.

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