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Thread: logic

  1. #1
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    logic

    Dear All,

    please help me solving this question i have urgent assigment to submit any help well be appriated.


    Thanks in advance


    Question. Convert the following theorem to logical and prove them by constructing truth table:
    (A B) = A B
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  2. #2
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    Hello, zeeshan4u3!

    Convert the following theorem to logical and prove by truth table:

    . . . $\displaystyle (A \cap B)' \:=\:A' \cup B' $
    In logic, we have: .$\displaystyle \sim(p \wedge q) \:\leftrightarrow \:\sim p \:\vee \sim q$


    . . $\displaystyle \begin{array}{c|c||cccccccc}
    p & q & \sim & (p & \wedge & q) & \leftrightarrow & \sim p & \vee & \sim q \\ \hline
    T & T & F & T & T & T & {\color{blue}T} & F & F & F \\
    T & F & T & T & F & F & {\color{blue}T} & F & T & T \\
    F & T & T & F & F & T & {\color{blue}T} & T & T & F \\
    F & F & T & F & F & F & {\color{blue}T} & T & T & T \\ \hline
    & & 3 & 1 & 2 & 1 & 4 & 1 & 3 & 1
    \end{array}$

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  3. #3
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    Thanks alot Prof.Soroban

    can i suppose its my question answer or its just an example.

    Please advice

    Regards,
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