Answer to Question #110842 in Electrical Engineering for VV

Question #110842
Design an XNOR gate with two inputs A and B using only NAND gates. Mention the expressions in terms of A & B at the output of each NAND gate in your circuit diagram.
1
Expert's answer
2020-04-22T09:22:04-0400

expression for X NOR output "Z_{XNOR}" is,

"Z_{XNOR}=(A.B)+(A'.B')\\\\"

using de-Morgan's law,

"Z_{XNOR}=((A'.B')'.(A.B)')'\\\\"

So NAND output is "Z_{NAND}" is,

"Z_{NAND=}(A.B)'"


using these two following logic circuit diagram is implemented,


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