The two combinations of NAND gates shown in the figure are equivalent to (i) (ii)
The two combinations of NAND gates shown in the figure are equivalent to
(i)
(ii)
(i)-Or gate, (ii)-AND gate
(i)-AND gate, (ii)-NOT gate
(i)-NOT gate, (ii)-AND gate
(i)-AND gate, (ii)-OR gate
Solution
The output of combination of NAND gate shown in circuit diagram (i) is given as
$
\begin{aligned}
& C=\overline{\bar{A} \cdot \bar{B}}=\overline{\bar{A}}+\overline{\bar{B}} \quad[\because \overline{x \cdot y}=\bar{x}+\bar{y}] \\
& C=A+B=\text { Output of OR gate }
\end{aligned}
$
The output of combination of NAND gate shown in circuit diagram (ii) is given as
Fig. (ii)
$C=\overline{\overline{A B}}=A B=$ Output of AND gate