Question

What is the output $X$of the following logic gate circuit?

A. $\overline {A \bullet B} $
B. $\overline A \bullet \overline B $
C. $\overline{\overline {A \bullet B}} $
D. $A + B$

Answer 1

Hint:A logic gate is an idealistic model of computing or a practical electronic device that implements a Boolean function, which is a logical operation that creates a single binary output from one or more binary inputs. Depending on the context, the term can refer to either an ideal logic gate with zero rise time and limitless fan-out or a non-perfect physical device.

Complete step by step answer:
Diodes or transistors operate as electronic switches in logic gates, but they can also be built with vacuum tubes, electromagnetic relays (relay logic), fluidic logic, pneumatic logic, optics, molecules, or even mechanical parts. Amplification allows the building of a physical model of all Boolean logic, and thus all of the algorithms and mathematics that can be expressed with Boolean logic, in the same manner that Boolean functions may be built.

Let us know about NOT gate. An inverter, often known as a NOT gate, is a logic gate that provides logical negation in digital logic. It is equivalent to the logical negation operator in mathematical logic. On the right, you can see the truth table.

Input	Output
A	NOT A
\[0\]	\[1\]
\[1\]	\[0\]

Out of the NOT gate will be $Out = \overline A $
Let us know about AND gate. The AND gate is a fundamental digital logic gate that implements mathematical logic's logical conjunction; it behaves as shown in the truth table above. The AND gate produces a HIGH output only if all of its inputs are HIGH. The output is LOW if none of the AND gate's inputs are HIGH. Any number of inputs can be added to the function.

A	B	A AND B
\[0\]	\[0\]	\[0\]
\[0\]	\[1\]	\[0\]
\[1\]	\[0\]	\[0\]
\[1\]	\[1\]	\[1\]

Output of the And gate will be $A \bullet B$
Now let us solve the problem by a logic diagram.

So from the above discussion we can say that :
$X = \overline A \bullet \overline B $
Therefore, option B is correct.

Note:Multiplexers, registers, arithmetic logic units (ALUs), and computer memory are all examples of logic circuits, as are entire microprocessors, which can have over \[100\] million gates. MOSFETs (metal–oxide–semiconductor field-effect transistors) are used to make most gates nowadays.