Boolean Rules A+AB=A

Discussion in 'Homework Help' started by Yami, May 15, 2016.

  1. Yami

    Thread Starter Member

    Jan 18, 2016
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    Can you use the rule as follows A+AB'=A?
     
  2. crutschow

    Expert

    Mar 14, 2008
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    Yes, you can.
     
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  3. WBahn

    Moderator

    Mar 31, 2012
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    You can even use A+AB=A if you're careful.
     
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  4. bertus

    Administrator

    Apr 5, 2008
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  5. Yami

    Thread Starter Member

    Jan 18, 2016
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    Hehehe what do you mean?
     
  6. Yami

    Thread Starter Member

    Jan 18, 2016
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  7. Yami

    Thread Starter Member

    Jan 18, 2016
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    so does B'+AB= B ? it shouldn't right?

    if B'=1
    1+A(0)=1

    if B'=0
    0+A(1)=A
     
  8. bertus

    Administrator

    Apr 5, 2008
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    Hello,

    It only works in the case : A + AB

    [​IMG]

    You are right, in your shown case B and B' are not the same so it does not work.

    Bertus
     
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  9. Yami

    Thread Starter Member

    Jan 18, 2016
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    but A+AB'=A works (does B') have any effect
     
  10. bertus

    Administrator

    Apr 5, 2008
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    Hello,

    Yes, as (1 + B) give a 1 as result, but (1 + B') also gives a 1 as result.
    A 1 orred with any value will give a 1 as result.

    Bertus
     
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