# 415mw2003

```EE 415/515 VLSI DESIGN
Dr. J.A. Starzyk
MIDTERM - DURATION TIME 50 MINUTES
Saturday, February 13, 2016
THIS IS A CLOSED BOOK EXAM
Name:
Box #:
Note:
1) All scratch and problem papers must be turned in.
2) Estimated times required to complete problems are indicated.
Problem
Weight Estimated Time
Examiner' Use
(points)
(minutes)
only
________________________________________________________
1
10
15
2
10
20
3
10
15
_________________________________________________________
TOTAL
30
50
_________________________________________________________
Problem 1
For given circuit shown below, answer the following questions.
a. What is the logic function implemented by the CMOS transistor network? Size the
NMOS and PMOS devices so that the output resistance is the same as that of an inverter
with an NMOS W/L = 4 and PMOS W/L = 8.
b. What are the input patterns that give the worst case tpHL and tpLH. State clearly what are
the initial input patterns and which input(s) has to make a transition in order to achieve
this maximum propagation delay. Consider the effect of the capacitances at the internal
nodes.
Problem 2
Assume that you are working with 0.25mm technology and use minimum length gates.
a. Draw the schematic corresponding to the layout. Include transistor sizes.
b. What logic function does the circuit implement?
Problem 3
Assume that you are working with 0.25mm technology. Answer following questions
a.
Determine the size of NMOS and PMOS transistors
b.
Determine the combined output capacitance of this inverter
Use the following parameters:
Cox
Co
Cj(fF/m2)
(fF/m2) (fF/m)
mj
b(V) Cjsw (fF/m)
mjsw
bsw
(V)
NMOS
6
0.31
2
0.5
0.9
0.28
0.44
0.9
PMOS
6
0.27
1.9
0.48
0.9
0.22
0.32
0.9
```