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1. What is the truth value ofwhen both p and q are false? 2. What are the conver

ID: 3753120 • Letter: 1

Question

1. What is the truth value ofwhen both p and q are false? 2. What are the converse and contrapositive of the statement "If it is sunny, then I will go swimming? 3. Show that andare equivalent (a) using a truth table. (b) using logical equivalences. 4. Find the output of the combinatorial circuits below b) 5. Determine whether the following propositional statements are equivalent. band 6. Translate the given statement into propositional logic using the propositions provided On certain highways in the Washington, DC metro area you are allowed to travel on high occupancy lanes during rush hour only if there are at least three passengers in the vehicle Express your answer in terms of r"You are traveling during rush hour." t:“You are riding in a car with at least three passengers." and h:“You can travel on a high occupancy lane."

Explanation / Answer

Solution:

Note: 1 and 2 are done, please repost others.

1)

The truth value is True.

Explanation:

Let's put the value of p and q as false,

(p v q) == (p ^ q)

(F v F) == (F ^ F)

F == F

True.

2)

The statement will be

If it is not sunny, I won't go to swimming.

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