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Math Help - Boolean Associative Law

  1. #1
    Junior Member Jarod_C's Avatar
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    Boolean Associative Law

    Hi, I have a couple of questions about Boolean. I have to identity which law is being used. I have to pick which one off a numbered list. I don't know if this list is numbered the same everywhere, so I've posted it HERE.

    Below is an example of associative law #12, correct?

    (\overline A\bullet \overline B)(A\overline B)=\overline A\bullet A \bullet \overline B \bullet \overline B


    And I'm not as sure on this one, but I'm going to guess distributive law #15.

    (\overline{A\overline{BC}})(AC)+AB=(\overline A+ \overline{\overline B}\overline{\overline C}}})(AC)+AB

    Thanks in advance.
    Last edited by Jarod_C; December 5th 2013 at 10:41 AM.
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  2. #2
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    Re: Boolean Associative Law

    Quote Originally Posted by Jarod_C View Post
    Hi, I have a couple of questions about Boolean. I have to identity which law is being used. I have to pick which one off a numbered list. I don't know if this list is numbered the same everywhere, so I've posted it HERE.

    Below is an example of associative law #12, correct?

    (\overline A\bullet \overline B)(A\overline B)=\overline A\bullet A \bullet \overline B \bullet \overline B


    And I'm not as sure on this one, but I'm going to guess distributive law #15.

    (\overline{A\overline{BC}})(AC)+AB=(\overline A+ \overline{\overline B}\overline{\overline C}}})(AC)+AB

    Thanks in advance.
    The top one is a combination of both the associative law of multiplication and DeMorgan's law. (#12 and #20)

    The bottom one does no distribution so I don't know why you'd choose that one. It could, but it doesn't.

    It uses #19 to obtain \overline{A \overline{B C}}=\bar{A}+\overline{\overline{B C}}
    Thanks from Jarod_C
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  3. #3
    Junior Member Jarod_C's Avatar
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    Re: Boolean Associative Law

    Thanks for the help. Also, I just click the star to thank you, right?
    Last edited by Jarod_C; December 5th 2013 at 11:06 AM.
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    Re: Boolean Associative Law

    You're welcome. I think there's a thanks link that appears with a mouseover near the bottom right hand corner.
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