Complementary Static - Introduction to Digital Integrated Circuits - Exam, Exams of Analog Electronics

Main points of this exam paper are: Complementary Static, Gates, Minimum-Length, Fabricated, Logic Function, Implement, Transistor Sizes

Typology: Exams

2012/2013

Uploaded on 03/22/2013

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EECS 141: SPRING 01 --MIDTERM 2
Prof. Andrei Vladimirescu
The transistors in the following problems are minimum-length (0.25 um) devices fabricated in a 0.25 um process; the only model parameters you need are the zero-bias Vto and back-gate bias modified Vt threshold voltages:
NMOS: Vtno = 0.4 V, Vtn = 0.7 V;
PMOS: Vtpo = -0.4 V, Vtp = -0.7 V.
The supply voltage is Vdd = 2.5 V.
Problem 1. Static CMOS Logic
Consider the two complementary static CMOS gates shown below.
a) Do they implement the same logic function? What logic function(s) do they implement?
b) Considering the transistor sizes shown what is the worst-case input pattern (A-E) from a delay perspective for Circuit A, and, for Circuit B? Explain. Assume that an NMOS transistor has the same ON-resistance as a three times wider PMOS.
EE 141 Midterm#2, Spring 01
EECS 141: SPRING 01 --MIDTERM 2 1
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The transistors in the following problems are minimum-length (0.25 um) devices fabricated in a 0.25 um process; the oNMOS: Vtno = 0.4 V, Vtn = 0.7 V;PMOS: Vtpo = -0.4 V, Vtp = -0.7 V.The supply voltage is Vdd = 2.5 V. Problem 1. Static CMOS Logic Consider the two complementary static CMOS gates shown below. EECS 141: SPRING 01 --MIDTERM 2^ Prof. Andrei Vladimirescu

a) Do they implement the same logic function? What logic function(s) do they implement?b) Considering the transistor sizes shown what is the worst-case input pattern (A-E) from a delay perspective for Circu EECS 141: SPRING 01 --MIDTERM 2 1

c) What are the worst-case popagation delays Tphl and Tplh? For which Circuit, A or B, and which input patterns do thd) Consider that the inputs change in the following order: A, B, C, D, E. Which circuit performs better and why?e) Give a more appropriate sizing of the transistors (in integer multiples) of Circuit A and B which improves the propag

PROBLEM 2: Dynamic Logic For the dynamic CMOS gate shown in Fig. 2 and considering the waveforms specified (0-2.5V).

Problem 1. Static CMOS Logic 2

c) Now consider that Cgdo = 10fF of the clocking transistors cannot be neglected; draw the waveforms in this situationd) For each of the three clock periods shown estimate the delta V on the rising (1+, 2+, 3+) and the falling edge(1-, 2-, 3-) at x and z taking into account Cgdo of the clocking transistors. e) Is there an upper limit for |delta V|? Explain. PROBLEM 2: Dynamic Logic 4

f) What is the average power dissipation of this circuit if it is clocked at f=500MHz? Consider the switching probabilit Problem 3. Pass transistor logic. A CPL implementation of a circuit for a very common arithmetic block is shown in Figure 3.a) What is the logic function implemented and for what arithmetic block can it be used?

b) All input signals are 0-2.5V and Vdd = 2.5V; show the voltage levels for a logic "0" and "1" at nodes x, y, and OUT Problem 3. Pass transistor logic. 5