Homework Set 2
Out September 1 , 2011
Due September 8, 2011
Problem No. 1
In this question two analog to digital converters (ADC) will be considered.
The
information about these ADC’s are given in the following table:
ADC
Number of bits
Nominal Range
ADC1:
8 bits
0 to 10 volts
ADC2:
12 bits
10 to +10 volts
(a)
Determine the output code (decimal integer) for both of the ADCs for the given
input voltages, assuming positive codes only.
i. 3.5 volts
ii.
2.35 volts iii. 11.35 volts
(b)
ADC1 produced the follow output code (1110 0010)
2
.
What is the range of input
voltages that could produce this code, assuming positive codes only?
(c) ADC2 produced the following output code (0000 1110 0010)
2
. What is the range
of input voltages that could produce this code, assuming positive codes only?
(d) Determine the resolution of each ADC.
(e)
If ADC2 is utilized to measure the output of a sensor modeled by the following
calibration line:
V
(3.23
D
0.5)
volts
,
where V is in volts and D is in mm.
What the resolution of this measurement system?
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 Fall '07
 MERKLE
 Digital Signal Processing, Binary numeral system, Analogtodigital converter

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