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Implement X-OR gate using NAND
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$Working: \ (1) \ \overline{A. \overline{AB}}=\bar{A}+AB \ =\bar{A}+B \[2ex] (2) \ \overline{B. \overline{AB}}=\bar{B}+AB \ =\bar{B}+A \[2ex] (3) \ \overline{(\bar{A}+B).(A+\bar{B})}=\overline{AB+\bar{A} \bar{B}} \ =\overline{A \odot B} = A \oplus B$

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