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Numerical

Write the truth table for a NAND gate connected as given in the following figure.

Hence identify the exact logic operation carried out by this circuit

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#### Solution

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

Hence, the output can be written as:

`Y = bar("A"."A") = bar"A" + bar"A" = bar"A"` ...(i)

The truth table for equation (i) can be drawn as:

A | Y`(=bar"A")` |

0 | 1 |

1 | 0 |

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

Concept: Digital Electronics and Logic Gates

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