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Thread: I don't understand this boolean simplification - basic boolean laws

  1. #1
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    Unhappy I don't understand this boolean simplification - basic boolean laws

    I am trying to simplify xyz + xyz + xyz + xyz + xyz
    from using online calculators, i think the sum of products answer should be
    yz + yz + xy'

    but I am only getting as far as here:
    = xyz + xyz + xyz + xyz + xyz
    = yz(x + x) + yz(x + x) + xyz
    = yz + yz + xyz

    What basic Boolean rule says that I can take off that z?
    And why can't I do something like
    = y'z' + z(y + xy')
    = y'(z'+z)(y + xy')
    = oh man... i have been looking at this for hours

    Can someone explain this to me?

    - Dave
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  2. #2
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    Re: I don't understand this boolean simplification - basic boolean laws

    I was able to figure it out myself. For anyone else trying to do something like this, check out this video: https://www.youtube.com/watch?v=59BbncMjL8I

    - Dave
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  3. #3
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    Re: I don't understand this boolean simplification - basic boolean laws

    What was your final answer to that problem because I'm working on the same thing!
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