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Negative representation of negative numbers

• Signed-bit representation

          011=3
          111=-3

          Problem : two values for zero (000 and 100)

• Two's complement representation

          101 = -3
          110 = -2
          111= -1
          000 = 0
          001= 1
          010=2
          011=3

          Adding 1 to any number produces the next number (ignoring carry bits)
          To find the opposite number for any given number :

1. change all 1's to 0's and all 0's to 1's
2. Add 1

See more at Representation of negative numbers