I don't get how to set up truth tables with the operator symbols. How do I know what operator to put where? Can you help????
a.George Washington was the 20th U.S. President only if Thomas Jefferson played in a band with Britney Spears.

b.Either George W. Bush is the current President and Bill Clinton is his vice-president or Al Gore is the current President and Dick Cheney is his vice-president.

c.It is not the case that either Hilary Clinton married Bill Clinton and George Bush supported war against Iraq unless both Abe Lincoln was assassinated and it is false that Bill Clinton died in office.
d.Lincoln's having written the Gettysburg address is a sufficient condition for George Washington's having been the 5th U.S. President if and only if Ronald Reagan's being assassinated implies that Bill Clinton was the only President to have flown in outer space.

e.It is not the case that World Trade Towers were destroyed on 9/11 unless both the US bombed Iraq in the year 2003 and U.S. President George W. Bush is the son of former U.S.President George Bush, Senior

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you may have posted another related question regarding truth tables and ...

(a) Use truthtables to prove that an implication is always equivalent to its contrapositive. Site an example where this is so.
(b) Use truthtables to prove that an implication may not be equivalent to its converse. Site an example where this is so.

Please see the attached file for the fully formatted problems.
Verify DeMorgan's laws (equation 1 and 2 below) using truthtables.
Prove the generalized DeMorgan's laws:
(1) (NOT(p1 p2 .... pk))
(2) (NOT(p1+p2+...+pk))
by induction on k, using the basic laws:
NOT(pq)
NOT(p+q)
Then, justify the ge

18. Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value of each of the following...
4. Determine the truth of the following conditionals...
Construct the truthtables for the statements expressed in Exercis

1. Being an only child is (necessary, sufficient, or necessary and sufficient) condition for being a sibling? Explain?
2. Truth table for:
It is not the case that if the Lakers do not win the championship, then the coach will be fired. Therefore, if the Lakers do win the championship, then the coach will be fired.
Is t

Using the Internet and other resources define and study TruthTables. How are TruthTables used in computer programming? Give a short example. Did you find other areas where TruthTables are used? Explain.

** Please see the attached document for the complete solution response **
1) Construct a truth table for (~p V ~q) → p
2) Construct a truth table for ~q → (p ^ q)
3) Given p is true, q is true, and r is false, find the truth value of the statement ~p → (~q V r).
Show step by step work.
4) If the argument belo

1) Construct the Truth Table for each of the following Boolean expressions:
Are they equivalent expressions? Are they tautologies? Contradictions?
2) Find a Boolean expression involving x y which produces the following table:
3) Consider a statement of the form "if A then (B and C)". Assume you wish to disprove it. Th

Truth tables are related to Euler circles. Arguments in the form of Euler circles can be translated into statements using the basic connectives and the negation as follows:
Let p be "The object belongs to set A." Let q be "the object belongs to set B."
All A is B is equivalent to p -> q
No A is B is equivalent to p -> ~q

1. Write a truth table to determine whether the two statements are equivalent and explain your answer.
~(q-->P) v r , (p v q) --> ~r
2. Write a negation of the following statement and explain your answer.
Some diet sodas contain saccharin.
3. Determine which, if any, of the three statements are equivalent. Give a reas