Question
Write the truth table for a NAND gate connected as given in Fig. 14.45.

Hence identify the exact logic operation carried out by this circuit.

Answer

A acts as the two inputs of the NANO gate and Y is the output, as shown in the following figure.

Hence, the output can be written as:
$\text{Y}=\overline{\text{A}\cdot{\text{A}}}=\overline{\text{A}}+\overline{\text{A}}=\overline{\text{A}}\ \ \ ...\text{(i)}$
The truth table for equation (i) can be drawn as:
A $_{\text{Y}}\Big(=\overline{\text{A}}\Big)$
0 1
1 0
This circuit functions as a NOT gate. The symbol for this logic circuit is shown as:

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