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in Class 11 by kratos

Write a note on binary system complements.

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by kratos
 
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Complements are used in the digital computers in order to simplify the subtraction operation and for logical manipulations.

The two types of complements are 1’ complement and 2’ complement.

*1. 1’ complement:**

The 1 ’ complement of a number is found by changing all 1’ to 0’ and all 0’ to 1’. This is called as taking complement or 1’ complement. For example, 10101 is 01010 in 1’* complement.

*2. 2’ complement:**

The 2’ complement of binary number is obtained by adding 1 to the Least Significant Bit (LSB) of 1 ’ complement of the number. 2’ complement = 1’ complement + 1

For example, 10101(2) 1’ complement is 01010 and 01010 + 1 = 01011 is 2’ complement.

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