Maximum Allowable Error for 8-bit ADC with 2.55V Full Scale Input

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Discussion Overview

The discussion revolves around determining the maximum allowable error for an 8-bit analog-to-digital converter (ADC) with a full-scale input of 2.55 V and a specified error of 0.1% full scale. Participants explore the implications of resolution and accuracy in the context of ADCs, focusing on theoretical calculations and practical interpretations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants calculate the specified error as 2.55 mV based on 0.1% of the full scale and determine the resolution to be 10 mV per step.
  • There is a discussion about how to define overall accuracy and whether it should be calculated by adding the error and resolution values.
  • One participant suggests considering the rounding behavior of the ADC when an actual value falls within a 10 mV step range, leading to potential errors of +/- 2.5 mV.
  • Another participant questions how to visualize the situation and suggests sketching the ADC's "stairstep" transfer function to understand the worst-case scenario for measurement error.
  • There is uncertainty about how to approach the problem without additional context or diagrams from the textbook, leading to varied interpretations of the maximum allowable error.

Areas of Agreement / Disagreement

Participants generally agree on the calculations of the specified error and resolution but disagree on how to interpret and calculate the overall accuracy and maximum allowable error. The discussion remains unresolved regarding the best method to determine the maximum allowable error.

Contextual Notes

Participants express limitations in their understanding of the specifications of accuracy and resolution, and some mention that they have not covered certain concepts in their lectures, which affects their ability to solve the problem confidently.

  • #31
gneill said:
Correct.

Ohhh Now i see why the maximum difference is 7.5 mV! I have been thinking you were just doing 10+2.5 and 10-2.5 like how they do for uncertainity range and you just chose the 10-2.5 because resolution was 10 mV. But well post 28 explains the real thing. Cheers!

P.S. how good are you with Dittus Boelter correlation and dimonsionless groups?
 
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  • #32
JI567 said:
P.S. how good are you with Dittus Boelter correlation and dimonsionless groups?
Never touched them before. But it could be that other Homework Helpers here have dealt with them.
 

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