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Q6-5 points Which of the following is a negation for “There exists a real number x such that for all real numbers y, xy > y.”  

Given the following circuit: What function is implemented by Y1?

Given: A 16:1 multiplexer has data inputs D0, D1, …, D15, select inputs S3:0, and output Y.  It is implemented using tristate buffers. What is used to enable the tristate buffer that is connected to D10?

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.