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.
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:
This circuit functions as a NOT gate. The symbol for this logic circuit is shown as:
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 |
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