logic

**zeeshan4u3** · November 3rd 2008, 09:30 PM

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 Ç B)¢ = A¢È B¢

**Soroban** · November 3rd 2008, 10:27 PM

Hello, zeeshan4u3!

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

. . . $(A \cap B)' \:=\:A' \cup B'$

In logic, we have: . $\sim(p \wedge q) \:\leftrightarrow \:\sim p \:\vee \sim q$

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

**zeeshan4u3** · November 3rd 2008, 10:30 PM

Thanks alot Prof.Soroban

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

Please advice

Regards,

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