Hello Pupils! I welcome you to The Engineering Projects. I hope you are having a good day. In our previous lectures, we simulated almost all the DLD Logic Gates i.e. AND, OR, NOT, NOR, NAND, XOR and XNOR. I hope now you must have a complete understanding of the logic gates and their working.
Now, it's time to have a look at the reason for inventing these logic gates. These DLD logic gates are used to design different numerical modules i.e. adder, subtracter, multiplexer, de-multiplexer, encoder, decoder etc. These arithmetic modules are normally used in electronic products i.e. a simple microcontroller has numerous adders/subtractors for properly calling the registers' addresses.
So, from today onward, we are going to discuss these applications of logic gates one by one. Today, we will focus on the basic one i.e. Half Adder. First, we will understand its working and later will simulate it in Proteus.
Let's have a look at what we'll learn today.
Let's start the Learning.
Now, let's have a look at the definition of Half Adder:
In order to design a DLD Half Adder, we will need to use the following two logic gates:
If we recall from our previous lectures on logic gates, the XOR Gate is used to provide the Sum of the Inputs, while the AND Gate provides the Carry of the Inputs. So, by combining these two gates, we can easily get both the Sum and the Carry.
Mathematically,
SUM = A XOR B
CARRY = A AND B
A | B | Z |
0 | 0 | 0 |
0 | 1 | 1 |
1 | 0 | 1 |
1 | 1 | 0 |
A | B | Y |
0 | 0 | 0 |
0 | 1 | 0 |
1 | 0 | 0 |
1 | 1 | 1 |
Let's move towards the Practical implementation of Half Adder in Proteus ISIS.
To design the circuit of Half Adder, we need the following components:
Input | Output | ||
A | B | Sum |
C0 |
0 | 0 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | 0 |
1 | 1 | 1 | 1 |
So, that was all for today. I hope you have enjoyed today's lecture. Today, we designed the Half Adder using AND and XOR gates. In the next lecture, we will design the Half Adder using Universal Gates i.e. NAND and NOR gates. Till then, take care. Have fun!!!
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