Hi Learners! I hope you are having a productive Day. Welcome from the Team of The Engineering Projects. The digital logic circuit that we are learning today is 4-Bit Full Adder. In our previous tutorial, we designed 2-Bit Full Adder using Logic Gates in Proteus software. Today, we are going to design & simulate 4-Bit Full Adder using Logic Gates in Proteus.
We will discuss the following topics in today's lecture:
Let's recall the Adder Definition from our previous lectures:
In the world of electronics, adders are used to add bits. The computer system depends upon the flow of bits and the computation of bits. Adders take the input in the form of bits and perform the addition, according to the type of Adder used. Basically, we divide the adders into two types:
We have discussed both Half Adder & Full Adder in detail in our previous lectures. Yet we have to recall the full adder's introduction:
"Full Adders are the Digital Logic Circuits used to add three input bits and generate two outputs i.e. the Sum and the resultant Carry."
We further classify the Full Adder into two main types:
As the name implies, a four-bit full adder is used to add four sets of input bits. The definition of a 4-bit Full adder is as follows:
The Circuit of the Four-bit Full Adder consists of the XOR Gate, AND Gate and OR Gate. Let's have a quick recap of these Gates.
A XOR Gate, is a two input Logical Circuit that give the output HIGH only when the inputs have the values alternating of each other. Or else, it is LOW.
AND Gate is the a logical Circuit that gives the Output HIGH only when its both inputs are HIGH, otherwise the output is LOW.
The OR Gate is a logical Circuit with the working such that when on of the Input is HIGH, the value of the Output is also HIGH.
The Four Bit Full Adder works in an interesting manner. The XOR Gates are responsible for the addition of input bits. In order to get the full addition circuit we attach two AND gates with the circuit in such a way that the result of addition connects the OR Gate and we get the carry.
In the designing of circuit, we simply make a small circuit of AND Gate and XOR Gate. Then we design a Circuit of two bits Full Adder. The cynosure of the circuit is, we'll copy the block and arrange four blocks in a way that the output carry of the block becomes the input carry of the next. This cycle will continue and at the fourth block we get the resultant carry of whole calculation. we can input only one carry of our will at the Block A.A | 1 | 1 | 0 | 0 |
B | 1 | 0 | 1 | 0 |
Result | (1 carry)0 | 1 | 1 | 0 |
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