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 D13?

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?

Given: 101101002  is an 8-bit unsigned binary number. What is its value in decimal (ex: “-25”, “45”)

Q3-10 points Use truth tables (only) to determine whether the following argument is valid or invalid, justify your answer:                                                                                          

True of False: A sequential circuit does not have memory.

Suppose the supply voltage in a digital circuit, VDD, is cut in half (VDD is now half what it was before). If nothing else changed, how does that affect the power consumption?

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

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.

Q3-10 points Use truth tables (only) to determine whether the following argument is valid or invalid, justify your answer:                                                                                          

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.”