1
UNIVERSITY OF CALIFORNI
A
College of Engineerin
g
Department of Electrical Engineerin
g
and Computer Science
s
Homework
12 (Optional)
EECS 42/100
B. E. BOSER
Due Friday, 12/7/2007
FALL 2007
Solving this homework is optional but recommended. Students who missed more than one
problem set can use this to make up. Please come to office hours if you have questions about the
problems.
1.
Shown is a schematic diagram for a 3bit resistor string DAC. It is controlled by a 3bit word of
binary signals b
0
, b
1
, b
2
. Each signal is either 0 or 1 and b
0
is the LSB (least significant bit). All the
resistors have the same value R.
a.
Mark the control signal (b
0
, b
1
, b
2
) for each switch.
b.
What is the step size
∆
V of the converter as a function
of V
ref
?
c.
Each resistor has the same value R. Write an
expression of the output voltage as a function of V
ref
and b
0
, b
1
, b
2
.
d.
What is the value of V
out
for V
ref
=1V and b
0
=0, b
1
=1,
b
2
=1?
e.
Now the output of the converter is loaded with a
resistor R
L
to ground. Plot the value of the output
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 Spring '08
 Boser
 Electrical Engineering, Resistor, 1g, 1K, 12bit, 3bit, 10MW

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