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I think 'No'. In logics, the most primitive logical operations are Not, And, and Or operations. And, the other logic operations can be designed by using the three logic operations.
Ya ..it is possible..to implement And & OR gates using Xor and XNOR gates..
But i think we never go for it..Bcoz its nothing but increasing no. of transistors unnecessarily......We try to implement any logic using only NAND&NOR gates..thats why only those r called universal gates..
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