Convert a Negative Binary to Decimal

For the signed binary numerical system the left most bit represents the sign bit. If it is 0 then the number is a positive number otherwise it is a negative number.

Steps

  1. For example let us convert 1010 to decimal. Invert all the bits of the binary number.That results in 0101.
  2. Add 1. This gives 0101 + 0001 = 0110
  3. Convert the binary number to decimal. This gives us 6.
  4. Decimal equivalent of 1010 is -6.

Tips

  • Practice. Try converting the binary numbers 1111, 1110, and 1011. Respectively, their decimal equivalents are -1, -2, and -4.

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