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Q4-12 points Write the following argument in logical form. Then use truth tables (only) to determine whether the argument is valid or invalid, justify your answer. If my check arrives in time, I’ll register for fall semester. I’ve registered for fall semester. Therefore, my check arrived in time.

Q6-5 points Which of the following is a negation for “Given any real numbers a and b, if a and b are rational then a/b is rational.”  

Convert 2510 to an 8-bit two’s complement number (ex: “01101110”)

Suppose you are working with a logic family that has the following specifications: VDD 2.5 V VIH 1.7 V VIL 0.7 V VOH 1.8 V VOL 0.6 V Suppose the voltage of a signal is 0.5 V.  Select the two statements that are correct (one for the driver and one for the receiver).

A timing diagram is given for inputs to a basic D Flip-Flop. What is the value of the Q output of the D Flip-Flop at time = 7 ns? Assume the delay from inputs changing to output changing is negligible.

Q1-8 points Use truth tables (only) to verify logical equivalence    

Q5-5 points Consider the statement “The square of any odd integer is odd.” Write a negation for the statement.

Q8-10 points Use mathematical induction to prove that, for every integer

Q7-7 points Prove the following statement directly or disprove it by counterexample, stating your conclusion as True or False:

Q5-5 points Consider the statement “The square of any odd integer is odd.” Rewrite the statement in the form ∀ _____ n, if ____ then ____ . (Make sure you use the variable n when you fill in each of the second two blanks.)