H-tree configuration is useful and allows late design changes, since clock is easily accessible at various points on the die.

MULTIPLE ANSWER PROBLEM:  Determine inverter tapering size A, and Dynamic power dissipation P of 3rd inverter. Figure shows the inverter string design in a 0.6 micron 3.3 V CMOS technology. To optimize for the delay, each inverter is made A times larger than the previous inverter stage. Assume that the input and output capacitance of the first inverter (before the second stage connected) is given as 12 fF and 5 fF, respectively. Also, take the load capacitance Cload as 36,000 fF. The number of stages N calculated to be 8. Determine the tapering size A Determine the dynamic power dissipation of the 3rd inverter at a switching frequency of 1 GHz.  For this you need to calculate the total load capacitance at the output of 3rd inverter and then use dynamic power formula P= CLVDD2f Choose the values closest to what you have found. Assume minimum size inverter has Rn=12k/sq, Rp=36k/sq (in case you need it).   buffer-UPSCALED.jpg

NMOS Inverter with Depletion Load configuration has the disadvantage that the output logic high value is not a full VDD, rather it is a reduced one..

Clock Jitter is the Maximum difference of the clock arrival times to the inputs of flip-flops.

frequency-upscaled.jpg Choose the answer closest to what you have found!

We want to detect S-A-0 (Stuck at zero) fault at node h.   Which of the following vector can detect this error? sa0-UPSCALED.jpg

Problem:  Use the figure below to answer the following questions.  Assume the assembly rotates about the z-axis at 12 rad/s while the disk rotates about the y-axis at 10 rad/s. The mass of the disk is 0.5 slugs. LO 21a & 21b: What is the mass moment of inertia of the disk about the y- and the z-axes?  Show your work. Value Solution Units [sol] [units] [sol2] [units2]

Problem:  Use the figure below to answer the following questions.  Assume the assembly rotates about the z-axis at 12 rad/s while the disk rotates about the y-axis at 10 rad/s. The mass of the disk is 0.5 slugs. LO 21a: What is the total kinetic energy of the disk? Show your work. Solution Units [sol] [units]

Question: Use the figure below to answer the following questions.  Assume the slender rod shown between Points A & B has a mass of m = 2.5 kg and is supported by a pin at Point A and a spring at Point B.  Consider the instant that the 100 N force is applied.  Note: Just before and just after the 100 N force is applied, the force acting on the spring is one half the weight of the rod (Fsp = 12.26 N). LO 17f: When analyzing Newton’s Laws of Motion, why is it necessary to consider the normal and tangential components of acceleration at the center of gravity?  Explain your reasoning.

True/False:  Indicate whether the following statement is true or false.  If the statement is true, justify your reasoning.  If the statement is false, correct the statement to make it true or justify why it is false. LO 18a: When analyzing a rigid body that is translating or rotating, the units for kinetic energy are different because the units of velocity and angular velocity are different.