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Prove that in a self-complementing code the sum of the
weights must be 9?

Answer Posted / poojitha

In general 2421,5211,642-3,84-2-1 and excess-3 codes are satisfies the condition of self complementing code.All the above codes gives sum as 9 as shown below:
2+4+2+1=9
5+2+1+1=9
6+4+2-3=9
8+4-2-1=9
so,in the self complementing code sum of all weights is always 9.

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