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does   EX-NOR GATE Is always negation of EX-OR gate ??

x OR is not always compliment to Ex NOR each other. It's only true for n (variables ) are even no.   

""i  found above line written by someone "  ??

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XOR gate is used to determine odd no. of 1's in input ,

where as XNOR gate it used to determine even no. of 0's in input 

For , "n" :  No. of Inputs . We have two cases : 

CASE 1 : When "n" is even :

(i) Then if no. of 1's Odd , no. of 0's also odd : Then result of  XOR = 1 , XNOR = 0

(ii) if no. of 1's even  and no. of 0's also even : Output of XOR = 0 , XNOR =1

CASE 2 : When "n" is odd :

(i) If no. of 1's Odd and then no. of 0's is even : Then result of  XOR = 1 , XNOR = 1

(ii) if no. of 1's even  and no. of 0's  is Odd  : Output of XOR = 0 , XNOR =0

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