Question

Explain why the NAND gate is known as a universal gate.

Answer 1

Hint: At first we need to know what are logic gates, the concept behind it and how it works then we should analyze the gate given in the question to find the answer. Students must know the truth table for the following gate.

Complete answer:
There are three basic gates known as,
And gate
Or gate
Not gate
These are basically electronic components which work on Boolean laws.
There are many other gates also, like NAND, XOR.

These gates are known as logic gates and they are basically buildings known as building blocks of any digital circuit or system. These gates have usually one or more input and one output based on the logic on which gates are made.

In total there are seven logic gates,
AND, OR , NAND which can also be called NOT AND, XOR gate is basically an exclusive or gate, XNOR which is exclusive NOR, and NOT.
In binary logic, there are only two numbers that are ‘0’ and ‘1’.
If the result of any case comes as zero then the result is false or the circuit is off, and if the result is one then the result is true and the circuit is on.
Now, coming back to the question, We can say that the NAND gate is a universal gate as all other gates can be made with a NAND gate.

Now, we will see how we can make some gates with a NAND GATE.

This is a XOR gate made with a NAND gate.

This is a NOR gate made from a NAND gate.

This is an OR gate made from a NAND gate.

This is an AND gate made from a combination of NAND gates.

And this is NOT gate made from NAND gates.

Note:
The diagram by which NAND gate is represented is,

 

We must know the truth table for NAND gate and it is as follows,

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