# NAND to Inverter `conversion` logic

Below are two options to convert a two input NAND gate to an inverter.

Give two ways to convert a two input NAND gate to an inverter

Input A Input B Output
0 0 1
0 1 1
1 0 1
1 1 0

First Method: Connect the desired to-be inverted bit input to either 'A' or 'B' and connect other input to always 1 or HIGH. Detailed discussion below:-

So for the first method we will have two possible combinations.

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First combination:

TIE Input A to 1. So from table Rows 3 and 4 Input A is always 1

• When Input B = 1 then the output is 0.
• When Input B = 0 then the output is 1.
• Hence a functionality of an inverter.

Second combination:

TIE Input B to 1. So from table Rows 2 and 4 Input B is tied to 1. The polarity of A input is inverted at output.

Hence a functionality of an inverter.

Second Method : Apply same inputs to A and B. So from table above we have following polarities in rows 1 and 4.

Input A and B = 0 and output = 1

Input A and B = 1 and output = 0

So when both the inputs are tied together, we get an inverter with only NAND gates.

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