Simplify this boolean expression

In summary, the conversation is about solving a boolean algebra problem involving the expression ~AB+AB~C+ABC. The relevant equation for this problem is AB+A~B=A. The user is advised to focus on the terms AB~C and ABC first and is encouraged to show some effort in order to receive help. The comparison between boolean algebra and regular algebra is also mentioned.
  • #1
kendy
2
0

Homework Statement



~AB+AB~c+ABC

Homework Equations



AB+A~B=A

3. The attempt at solution
~AB+A

A+B
 
Physics news on Phys.org
  • #2
Nope. That's not it. The idea behind the Relevant Equation is that if you can "factor out" (B+~B) then it "disappears"-- B+~B = 1, A(1) = A. See if you can find similar factorizations in the Problem Statement.
 
  • #3
focus on the AB~C + ABC terms first
 
  • #4
i need someone to solve it
 
  • #5
I see you are new to PF--welcome. Rules require you to show some effort in order for help to be offered. Otherwise anarchy would erupt and you wouldn't learn anything. Do you need more boolean algebra reference material? You must help us understand what it is that you don't understand.
 
  • #6
sorry we can't do that. boolean algebra is very similar to regular algebra:

so for example given abc + abd = ab * (c + d) where a, b, c and d are real numbers.
 

What is a boolean expression?

A boolean expression is a mathematical statement that can only have two possible values: true or false. It is often used in computer programming and logic circuits to make decisions.

Why do we need to simplify boolean expressions?

Simplifying boolean expressions can help make them easier to read and understand, as well as optimize the efficiency of computer programs and logic circuits. It can also make it easier to identify any errors in the expression.

What are the basic operations used in boolean expressions?

The basic operations used in boolean expressions are AND, OR, and NOT. AND represents the intersection of two conditions, OR represents the union of two conditions, and NOT represents the opposite of a condition.

How do you simplify a boolean expression?

To simplify a boolean expression, you can use Boolean laws and rules, such as De Morgan's laws and distributive property. These laws help to reduce the number of terms and make the expression more concise.

Can simplifying a boolean expression change its value?

Yes, simplifying a boolean expression can change its value. This is because simplification may result in different combinations of true and false values for the variables in the expression, which can alter the overall output of the expression.

Similar threads

Engineering Minterms of a Boolean function
    • Engineering and Comp Sci Homework Help
Replies
5
Views
1K
Simplify the Boolean expression
    • Engineering and Comp Sci Homework Help
Replies
3
Views
2K
Simplifying Boolean Algebra: How to Simplify Complex Boolean Expressions
    • Engineering and Comp Sci Homework Help
Replies
10
Views
1K
Simplification of this Boolean expression
    • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
Engineering What is the output for the following logic circuit?
    • Engineering and Comp Sci Homework Help
Replies
3
Views
1K
Comp Sci Functional Dependency Solving Algorithm for Minimal Cover
    • Engineering and Comp Sci Homework Help
Replies
1
Views
962
Engineering Write the Boolean expression of a given logic circuit
    • Engineering and Comp Sci Homework Help
Replies
2
Views
2K
Boolean Algebra Simplification
    • Engineering and Comp Sci Homework Help
Replies
6
Views
4K
Solve Boolean Algebra Homework
    • Engineering and Comp Sci Homework Help
Replies
2
Views
1K
Advice required on Boolean algebra question
    • Engineering and Comp Sci Homework Help
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top