Hello Mentees!, I hope you have a productive day. Welcome to The Engineering Projects. In the previous lecture, we discussed the XOR Logic Gate and designed its circuit using basic logic gates i.e. AND, OR and NOT. Today, I am going to explain another Logic Gate named XNOR Gate in detail.
We are going to discuss these concepts in today's lecture:
A | B | Y |
0 | 0 | 1 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 1 |
The XNOR Gate with 2-inputs(A and B) and 1 Output(Z) is represented by the following mathematical expression:
Z = (A)'.(B)' + A.B
So, we will need AND, OR and NOT logical gates to implement XNOR Gate. Let's first verify this equation by applying the truth table.
=(0)'.(0)'+0.0
=1.1+0.0
=1+0
=1
Now, A=0, B=1
=(0)'.(1)'+0.1
=1.0+0.1
=0+0
=0
=(1)'.(0)'+1.0
=0.1+1.0
=0+0
=0
=(1)'.(1)'+1.1
=0.0+1.1
=0+1
=1
Hence in accordance with the above discussion, let's design the circuit of the XNOR Gate in the Proteus software:
Now let's design the Proteus Simulation of the XNOR gate. We simply need to implement the mathematical expression of XNOR Gate, discussed in the last section.
First of all, we will design the below circuit in Proteus:
Image
As you can see in the above figure, the first AND Gate is getting the inverted inputs and the second AND Gate is provided with simple inputs. Finally, the output of both AND gates is passed through the OR Gate and we got our XNOR output. I have placed an LED at the output to visualize it.
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