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Math Help - Proving identity using laws of logic help?

  1. #1
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    Proving identity using laws of logic help?

    Ok so right now I'm doing math in college and we are learning about Logic.

    Here is the laws of logic sheet:



    And here is the equation I'm on and the part that I get stuck at:

    "Prove using the laws of logic, that the following statement is true."



    This is as far as I could get.

    Thanks a lot for any help
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  2. #2
    MHF Contributor

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    Tejas
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    Re: Proving identity using laws of logic help?

    you can simplfy the part with the B's:

    B+B\overline{C} = B1 + B\overline{C} = B(1+\overline{C}) = B1 = B

    now, what is:

    (\overline{A}\ \overline{B})B ?
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