Complement Representation of Numbers (XII)

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Computer Organization and Architecture
Numerical computing
Complement Representation of Numbers (XII)

It is an explanation of the Complement Representation of Numbers.
Subtract the given binary numerals using 1's complement and 2's complement representations for negative numbers.
1011001100011 - 1010110111.

See the attached file for the solution of the problem.

Complement Representation of Numbers (XII)

Written by :- Thokchom Sarojkumar Sinha

Subtract the given binary numerals using 1's complement and 2's complement representations
for negative numbers.
1011001100011 - 1010110111

Solution :- In binary system, 1's complement of a binary numeral is obtained by changing zeros into ones and ones into zeros.
The number of digits of Minuend = 13
and the number of digits of Subtrahend = 10.
We will make the number of digits of Minuend and Subtrahend to be equal by putting zeros to left
of the Subtrahend.
Hence, Minuend = 1011001100011
Subtrahend = ...