Solving Boolean Equations: Tips & What to Do Next

  • Thread starter adnankhuram
  • Start date
In summary, the conversation discussed simplifying an expression and determining if it was correct. The expert confirmed that the expression looked right and mentioned the use of an EXOR operation. They also suggested referring to an attachment for further simplification. The conversation also brought up other possibilities for the expression. The expert agreed with the work done so far but suggested making further simplifications to end up with an expression similar to PQ+RS.
  • #1
adnankhuram
3
0
Am i doing right?

And what to do next?
 

Attachments

  • 2.PNG
    2.PNG
    2.2 KB · Views: 400
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  • #2
This looks right. The last 2 terms would produce an EXOR operation. Remember:

[tex]A'B+AB' = A\oplus B[/tex]

Nothing else comes to mind when simplifying this further. However you can refer to the attachment if there is anything else you can do.
 

Attachments

  • boolean_algebra.pdf
    10.9 KB · Views: 255
  • #3
[itex]AA = 1[/itex] is not correct.

And there seem to be other possibilities at the top line - consider what is [itex]ABC + \bar{A}BC[/itex] ?
 
  • #4
Ahh you are right! Nice catch! Haha!
 
  • #5
Let me encourage a little further and say that I agree with your work until the fourth line, adnankhuram. From there you can make further simplifications to leave something that looks like [itex]PQ+RS[/itex].
 

Related to Solving Boolean Equations: Tips & What to Do Next

What exactly are Boolean equations?

Boolean equations are mathematical expressions that involve the logical operators "AND", "OR", and "NOT". They are used to represent logical relationships between different variables or statements, and are commonly used in computer science and digital electronics.

How do you solve a Boolean equation?

To solve a Boolean equation, you need to use the laws and rules of Boolean algebra to simplify the expression and reduce it to its simplest form. This involves using techniques such as factoring, distribution, and substitution.

What are some tips for solving Boolean equations?

Some tips for solving Boolean equations include starting with the most complex expressions, using truth tables to check your work, and familiarizing yourself with the basic laws and rules of Boolean algebra.

What should I do next after solving a Boolean equation?

After solving a Boolean equation, you should check your work to make sure it is correct. You can do this by using a truth table or plugging in different values for the variables. If your answer is correct, you can move on to applying the solution to a larger problem or using it in a real-world application.

Are there any common mistakes to avoid when solving Boolean equations?

Yes, some common mistakes to avoid when solving Boolean equations include not properly applying the rules of Boolean algebra, forgetting to distribute or factor, and making a mistake in the truth table. It is important to double-check your work and make sure you are following the correct steps.

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