I was wondering why 1000 in signed 4-bit binary notation is equal to -8 in decimal. From my understanding, the 1 simply states that sign (1 being negative and 0 being positive) it has no real decimal value. I have read that it is not possible to correctly take the 2's complement of -8 so I cannot come to convince myself that 1000 is in fact -8 in binary.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks for the help!

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# Why is 1000 = -8 in signed 4-bit binary?

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