43895 It is the determination by means of a **truth** **table** the validity of **De** Morgan's **Theorem** for three variables.

The first expression can be converted using **De**-Morgan rule (b):
(1.3)
The **truth** **table** is:
F F T F
F T F F
T F T T
T T F F
2.

From the **truth** **table**, we see that when p is F, q is T and r is T [Refer to Row No. 4], the **truth** value of
~ q => { ~r ^ ( p v q) } is T.
2) Use **De** Morgan's Laws to determine whether the two statements are equivalent. ~( p ^ q), ~(q v ~p)

Using **De** Morgan's law, we can simplify it further to:
F = (Z ^ D) V (~Z ^ ~D)
It actually becomes XNOR logic. The **truth** **table** is:
Z D F
0 0 1
0 1 0
1 0 0
1 1 1
2. Use DeMorgan's laws to determine whether the two statements are equivalent.

This posting explains the concepts of **truth** **table**, logically equivalent statements, **De** morgan's law and finding negation of a statement with the help of examples.

But the final form matches our **truth** **table**. I used, this page for the simplification of our **truth** **table**.

Area = (1/2)(3)( 4) = (1/2)(12) = 6 km2
ANSWERS: 12, 6
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Q: Week 3 Problem #3 **truth** **table**. Is step four the final **truth** **table**?

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