Data acquisition & sampling worksheet with answers

Free printable Data acquisition & sampling worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
Vin​N = 125 V2ᴺ − 101 LSB = ?

A 12-bit ADC has an input range of 0 to 5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 12VFSR = 5 V
1 LSB = mV
2.Easy
Vin​N = 121 V2ᴺ − 101 LSB = ?

A 12-bit ADC has an input range of 0 to 1 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 12VFSR = 1 V
1 LSB = mV
3.Medium
Vin​N = ?150 °C2ᴺ − 10≤ 0.05 °C

A sensor measures temperature over a span of 150 °C, and its output fills the whole input range of an ADC. The reading must resolve 0.05 °C. Find the smallest number of bits N the ADC needs.

span = 150 °Cresolution = 0.05 °C
N =
4.Medium
Vin​N = 1010 V2ᴺ − 101 LSB8.275 V?

A 10-bit ADC with an input range of 0 to 10 V truncates: its output code is ⌊Vin/LSB⌋ with 1 LSB = VFSR/2ᴺ. Find the decimal output code D for an input of 8.275 V.

N = 10VFSR = 10 VVin = 8.275 V
D =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​24 MHz / (16·D)

A microcontroller with a 24 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 57600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 24 MHztarget = 57600 Bd
e = %
6.Hard
f0fs​/2fs​7.5 kHz7f₁?

A 7.5 kHz square wave is sampled at 50 kHz with no anti-aliasing filter. A square wave contains the odd harmonics 3f₁, 5f₁, 7f₁, … At which frequency fa does its harmonic 7f₁ appear in the sampled data? Give it in kHz.

f₁ = 7.5 kHzfs = 50 kHzharmonic: 7f₁
fa = kHz

Answer key

  1. 1. 1 LSB = 1.221 mV
  2. 2. 1 LSB = 0.2441 mV
  3. 3. N = 12
  4. 4. D = 847
  5. 5. e = 0.1603 %
  6. 6. fa = 2.5 kHz

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