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ISRO 2007- ECE Half Adder using NAND

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Sum is given by EX-OR operation. So we need to simply implement EX-OR gate by NAND gate.

A Xor B = A'B + AB' = (A' + B')(A+B) = A(AB)' + B(AB)' = ( A(AB)' + B(AB)' ) ' ' = ( (A(AB)')' + (B(AB)')' ) ' = 4 NAND gates.
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