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Math Help - Can Anyone Figure Out This Problem(Greatly Appreciated!!)

  1. #1
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    Can Anyone Figure Out This Problem(Greatly Appreciated!!)

    This is Boolean Algebra. I have to prove that these two sides are equivalent without using a truth table(I already did that.).

    (x'^y'^z)v(x^y'^z)v(x^y^z)=(x^z)v(y'^z)

    I am using (^) as "and" and (v) as "or"

    PLEASE Help me
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  2. #2
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    By the way, I have to make the left side equivalent to the right side...
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  3. #3
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    Distributivity

    Quote Originally Posted by rkn0720 View Post
    This is Boolean Algebra. I have to prove that these two sides are equivalent without using a truth table(I already did that.).

    (x'^y'^z)v(x^y'^z)v(x^y^z)=(x^z)v(y'^z)

    I am using (^) as "and" and (v) as "or"

    PLEASE Help me
    There may be a shorter way, but I would use the distributive property. I.e., a \lor  (b \land c) = (a \lor b) \land (a \lor c).

    See where that gets you.
    Last edited by simulacrum; February 21st 2010 at 07:00 PM. Reason: Added title.
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