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Math Help - simplifying the expression

  1. #1
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    simplifying the expression

    Hello,

    Can you please help me simplify this expression? I'd like to see what happens step by step

    y = u*v'*w'+u*v'*w+u*v*w

    ' denotes compliment.
    + OR
    * AND
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  2. #2
    A Plied Mathematician
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    What ideas have you had so far?
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  3. #3
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    i'm getting stuck at this part:

    y = u*((v'*w')+(v'*w)+(v*w))

    what can I do next?
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  4. #4
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    I have not tried to help here because it is almost impossible to read the question.
    Is it to simplify \left( {U \wedge \neg V \wedge \neg W} \right) \vee \left( {U \wedge \neg V \wedge W} \right) \vee \left( {U \wedge V \wedge W} \right)~?

    Please learn to post in symbols: You can use LaTeX tags.
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  5. #5
    A Plied Mathematician
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    More standard notation would omit the *'s and use implied multiplication thus:

    u((v' w') + (v' w) + (v w)). The first two terms inside the parentheses there have a term in common. You could factor that, I think. What does that give you?
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  6. #6
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    sorry, yea that's correct.
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  7. #7
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    thats where I was having problems with...

    does it factor to this???

    u((v' ((w' + w) + (v w))))
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  8. #8
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    I think I sorta get it...

    (w' + w) cancels each other

    (v' + v w) expands to

    (v' + v)(v'+w) ---> (v' + w)

    therefore i'm left with

    u(v' + w) as my answer...
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  9. #9
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    Looks good to me!
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