Two's complement is a method of representing signed integers in binary. Here is an explanation of how addition works with two's complement numbers:
For example, let's add 5 and -3 in 8-bit two's complement:
5: 0000 0101 -3: 1111 1101
0001 0010
But this doesn't fit in 8 bits. To wrap the result, we discard the leftmost bit, leaving 0010. This wraps the result to -6, which is correct when adding 5 + -3.
So in summary, two's complement addition works by:
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