Results 1 to 3 of 3

Math Help - logic

  1. #1
    Newbie
    Joined
    Nov 2008
    Posts
    3

    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
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,803
    Thanks
    693
    Hello, zeeshan4u3!

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

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


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

    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Nov 2008
    Posts
    3
    Thanks alot Prof.Soroban

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

    Please advice

    Regards,
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Can someone check my logic (sentential logic)
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: July 13th 2010, 03:30 AM
  2. logic
    Posted in the Math Topics Forum
    Replies: 1
    Last Post: December 1st 2008, 08:49 AM
  3. logic
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: November 2nd 2008, 11:53 PM
  4. logic
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: October 11th 2008, 01:42 PM
  5. Logic
    Posted in the Discrete Math Forum
    Replies: 4
    Last Post: September 12th 2007, 05:05 PM

Search Tags


/mathhelpforum @mathhelpforum