Difference between 1’s complement and 2’s complement – Binary Number system
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One’s Complement
The 1’s complement of a binary number is obtained by complementing all its bits, i.e. by replacing 0s with 1’s and 1’s with 0s.
Example: Find the one’s complement of (10010110)2
Solution:
Replace 1’s by 0’s and 0’s by 1’s
The 1’s complement of (10010110)2 is (01101001)2.
Two’s Complement
The 2’scomplement of a binary number is obtained by adding 1’ to its 1’s complement.
Example: Find the one’s complement of (10010110)2
Solution: Find the one’s complement by replacing 1’s by 0’s and 0’s by 1’s
(01101001)2.
To determine the 2’s complement add 1 to the one’s complement
The 2’s complement of (10010110)2 is (01101010)2.
