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Chapter 6 : Combinational Circuits

In the previous chapter, we saw how we can make logic gates. Of course, the easy way! In this chapter, we're going to make circuits which are famous as Combinational. Because we pick some well-known gates, and make a circuit out of them.

The Exclusive OR

Do you remember XOR from chapter four? The logical function of XOR was like this:

~AB + A~B 

As you see, we need two NOT gates, two AND gates and one OR gate! Ok, let's make the circuit :

XOR Circuit

We also have a gate for XOR, because it's very common in circuits, and in transistor level, it's implemented much simpler. This is the XOR gate :

XOR Gate

This was the simplest combinational circuit we could ever make. Let's make another one!

The Exclusive NOR

This is another combinational circuit we make in this chapter, the function is almost the same as XOR, but it has a little difference.

~A~B + AB 

And now, we can make the circuit :

XNOR Circuit

We also have a gate for this function. The gate looks like this :

XNOR Gate

More Logics?

Of course yes! We will make another useful logics in the next chapters. We all studied these six chapters for design and implementation of more logics.