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I have been studying binary numbers. I cannot understand why you can sometimes discard the left-most carry when adding two negative numbers. I mean, I can do some samples and see that it works, like $1101 + 1100 = -3 + -4 = 11001 = 1001 = -7$, but I don't really understand what is going on to allow this to work. Could you explain it? Thanks.

tarit goswami
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John Lau
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    Possible duplicate of Why Two's Complement works – tarit goswami Sep 12 '18 at 18:41
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    I agree with the duplicate vote, I think what you really need is just an explanation of why two's complement works. It's not clear to me how to explain specifically the left-most-carry thing other than to just explain how the whole system works, unless you can be a bit more specific about why the carrying confuses you. – Jack M Sep 12 '18 at 19:59

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