Page 14 - DCAP104_EXPOSURE_TO_COMPUTER_DISCPLINES

Unit 1: Data Information

The 2’s complement can also be obtained by not complementing Notes
the least significant zeros till the first 1 is encountered. This 1 is also
not complemented. After this 1 rest all the bits are complemented
on the left.
Therefore, 2’s compleme~it of the following number (using this
method) should be (you can check it by finding 2’s complement as
we have done in the example).

Find the 2’s complement of 11101 and 10000000011.

1.2.4 Fixed Point Representation
The fixed-point numbers it 1 binary uses a sign bit. A positive number have a sign bit 0, while
the negative number has a sign bit 1. In the fixed-point numbers we assume that the position of
the binary point is at the end. It implies that all the represented numbers should be integers. A
negative number can be represented in one of the following ways:

Signed magnitude representation,
Signed 1’s complement representation, or Signed 2’s complement representation.
(Assumption size of register = 7 bit, 8th bit is used for error checking and correction or other
Purposes).

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