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UGC NET CSE | June 2006 | Part 2 | Question: 9

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The given weighted code is self-complementary(the code of the number and the code of  $9's$  complement of the number are one's complement to each other).      Refer: Self-complementary code

Which means the representation of decimal number 5 can be obtained by finding the representation of  $9's$  complement of  $(5)_{10}$  i.e.  $(4)_{10}$, and then we find one's complement of obtained representation.

Representation of  $(4)_{10}$  in the given weighted code:  $0100$

Now, one's complement of  $0100$  is our answer i.e.   $1011$  is the  $6$  $4$  $2$  $-3$ code of $(5)_{10}$

Option C is correct.

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