A chain of four inverters whose sizes are scaled by a factor x is used to drive a load

Chapter 14, Problem 14.61

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A chain of four inverters whose sizes are scaled by a factor x is used to drive a load capacitanceCL = 1200C, where C is the input capacitance of the standard inverter (which is the first in the chain). (a) Without increasing the number of inverters in the chain, find the optimum value of x that results in minimizing the overall delay tP and find the resulting value of tP in terms of the time constant CR, where R is the output resistance of the standard inverter. (b) If you are allowed to increase the number of inverters in the chain, what is the number of inverters and the value of x that result in minimizing the total path delay tP? What is the value of tP achieved?

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