Układ Scalony Mio 360

simplify a circuit with gates Multisim logical

In days past placed on the page in English on facebook Multisim a challenge on how to simplify the circuit shown below

For those who have been asking me the answer to this challenge then first explain nothing how to reduce the circuit using Boolean algebra, then by Multisim.

In the first figure we can see that this circuit has the following output expression:

AB + A (B + C) + B (B + C)

Applying Boolean algebra techniques are:

By law distributive

AB + AB + AC + BB + BC

Since BB = B, we have:

AB + AB + AC + B + BC

Since: AB + AB = AB, we have:

AB + AC + B + BC

As: B + BC = B, we have:

AB + AC + B

Finally, since AB + B = B, we have:

AC + B

We now have an expression ng much simpler than we building with only two gates as shown below:

Now use Multisim to obtain the simplified expression of the original circuit. For this we use the Logic Converter which can be found in the Multisim Instruments bar:

We double-click the instrument to open the front panel and entered the original expression as follows:

In Logic Converter in Multisim can perform various transformations of a circuit or digital signal. You can create a truth table or Boolean expression from a digital circuit or cause a circuit from a truth table or Boolean expression.

Demos click the fourth button (from top to bottom), this indicates a conversion of expression truth table. Now we have:

And now become the truth table to a simplified expression. For this we click the third button:

We can see the result, AC + B is consistent with those obtained using Boolean algebra. By clicking on the fifth button can generate the equivalent circuit for this expression automatically.

The Logical drive in Multisim is a great tool for analyzing digital circuits.

Greetings!

Fernando