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 = 810 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 10 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 10 V
1 LSB = mV
2.Easy
Vin​N = 82.5 V2ᴺ − 101 LSB = ?

An 8-bit ADC has an input range of 0 to 2.5 V. Taking 1 LSB = VFSR/2ᴺ, find the size of one LSB in mV.

N = 8VFSR = 2.5 V
1 LSB = mV
3.Medium
Vin​N = ?100 kPa2ᴺ − 10≤ 0.1 kPa

A sensor measures pressure over a span of 100 kPa, and its output fills the whole input range of an ADC. The reading must resolve 0.1 kPa. Find the smallest number of bits N the ADC needs.

span = 100 kParesolution = 0.1 kPa
N =
4.Medium
Vin​N = ?300 mm2ᴺ − 10≤ 0.5 mm

A sensor measures distance over a span of 300 mm, and its output fills the whole input range of an ADC. The reading must resolve 0.5 mm. Find the smallest number of bits N the ADC needs.

span = 300 mmresolution = 0.5 mm
N =
5.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​16 MHz / (16·D)

A microcontroller with a 16 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 38400 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 16 MHztarget = 38400 Bd
e = %
6.Hard
SD0​D1​D2​D3​D4​D5​D6​D7​1/fbaud​2 MHz / (16·D)

A microcontroller with a 2 MHz clock sets its UART baud rate as fclk/(16·D), with D a whole number rounded to the nearest value. The target is 9600 baud. Find the percentage error of the real baud rate (positive when it is too fast).

fclk = 2 MHztarget = 9600 Bd
e = %

Answer key

  1. 1. 1 LSB = 39.06 mV
  2. 2. 1 LSB = 9.766 mV
  3. 3. N = 10
  4. 4. N = 10
  5. 5. e = 0.1603 %
  6. 6. e = 0.1603 %

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