NIMCET 2014 Question Paper with solutions

Question : 112 of 120

Marks: +1, -0

What is the 2's complement of 00110101 1001 1100?

Solution:

The given number is 0011010110011100.
Now, change this number into one’s complement as,
1's

\table 0,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0;↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓,↓;1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1

Now add 1 to the one's complement to obtain two’s complement representation of the given number as
1100101001100011 + 1 = 1100101001100100

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