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Math Help - Boolean Algebra

  1. #1
    Newbie
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    poland
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    Boolean Algebra

    Can someone please give me a hint how to solve my task ?
    Show that every Boolean algebra is an ortholattice, but not conversely.

    Boolean Algebra-bez-tytu-u.jpg

    1st and 2nd are done by definition.What about 3 and 4 ?
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  2. #2
    MHF Contributor
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    Re: Boolean Algebra

    Hey xmegx.

    The 3rd condition is known as De-Morgans Laws. You might want to read up on them for more information.

    The 4th one could be done in a few ways - including the use of De-Morgans Laws (Part 3) where you find (x' OR 0)' and simplify.
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