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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.)

Q5-5 points Consider the statement “The square of any odd integer is odd.” Rewrite the statement in the form ∀____ n, ____ . (Do not use the words “if” or “then.”)