To a measurement range of -4 to 6 V, apply a 4-bit analog-to-digital converter. a- Identify the assigned voltages to each of the bins. b- Determine the voltage that will be assigned to a measurement reading -3.25 V. Calculate the percentage ADC error. c- Determine the voltage that will be assigned to a measurement reading 4.11 V. Calculate the percentage ADC error.
I posted this twice, and got even more confused because the answers were different. Can anyone please tell me how to do it right?
To a measurement range of -4 to 6 V, apply a 4-bit analog-to-digital converter.
a- Identify the assigned voltages to each of the bins.
b- Determine the voltage that will be assigned to a measurement reading -3.25 V. Calculate the percentage ADC error.
c- Determine the voltage that will be assigned to a measurement reading 4.11 V. Calculate the percentage ADC error.
In given problem
ADC is 4 bit hence
number of steps(bins) in which analog input is divided is
Input voltage range is from negative to positive voltage
for ADC, input total input voltage range that need to covert in digital is
this means ADC will convert analog input to digital in a step of 0.66 V.
total steps are 16 that is from 0 to15
| STEP (bins) | BINARY OUTPUT | ANALOG INPUT |
| 0 | 0000 | -4 +0 =-4 V |
| 1 | 0001 | -4+0.67 =-3.33 V |
| 2 | 0010 | -3.33 V+0.67 =-2.66 V |
| 3 | 0011 | -2.66 +0.67 =- 1.99 V |
| 4 | 0100 | -1.99 +0.67 =- 1.32 V |
| 5 | 0101 | -1.32+0.67=- 0.65 V |
| 6 | 0110 | -0.65+0.67=- 0.02 V |
| 7 | 0111 | -0.02+0.67=0.69 V |
| 8 | 1000 | 0.69+0.67 =1.36 V |
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