Question 199 of 209

Identify the gate and match $A,B,Y$ in the bracket to check.

A$OR(A=1,B=1,Y=0)$B$XOR(A=0,B=0,Y=0)$C$NOT(A=1,B=1,Y=1)$D$AND(A=1,B=1,Y=1)$

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Answer: (D) $AND(A=1,B=1,Y=1)$

The output of the first NAND gate
${Y}^{'}=\bar{A\cdot B}$
The output of the second NAND gate
$Y=\bar{\left(\bar{A\cdot B}\right)\cdot \left(\bar{A\cdot B}\right)} \Rightarrow Y=\left(\bar{\bar{A\cdot B}}\right)+\left(\bar{\bar{A\cdot B}}\right) \Rightarrow Y=A\cdot B$
So, the equivalent circuit will be an AND gate.
$AND(A=1,B=1,Y=1)$

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