Simplify this boolean expression

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Discussion Overview

The discussion revolves around simplifying a boolean expression, specifically the expression ~AB + AB~C + ABC. Participants are exploring various approaches to factor and simplify the expression using boolean algebra principles.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant suggests simplifying the expression to ~AB + A, concluding with A + B.
  • Another participant disagrees with the simplification and emphasizes the importance of factoring out terms like (B + ~B) to simplify the expression further.
  • A different participant advises focusing on the terms AB~C + ABC first as a potential strategy for simplification.
  • One participant expresses a need for assistance in solving the problem, indicating a lack of understanding.
  • Another participant reminds the group of the forum rules, stating that participants must show some effort before receiving help, and offers to provide additional reference material on boolean algebra.
  • A participant compares boolean algebra to regular algebra, providing an example of factoring in regular algebra to illustrate a point.

Areas of Agreement / Disagreement

There is no consensus on the correct simplification of the boolean expression. Multiple competing views and approaches are presented, and the discussion remains unresolved.

Contextual Notes

Participants have not fully explored all possible factorizations or simplifications, and there may be missing assumptions regarding the application of boolean algebra rules.

kendy
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Homework Statement



~AB+AB~c+ABC

Homework Equations



AB+A~B=A

3. The attempt at solution
~AB+A

A+B
 
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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.
 
i need someone to solve it
 
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.
 
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.
 

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