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Microcontroller: ADC Code Bin Midpoint Tool

Return an ideal half-open ADC quantization-bin midpoint for explicitly declared unipolar or signed two-complement codes; references span 0..Vref or -Vref..Vref.

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Description

Use referenceVoltage / 2^bits for unipolar bin width or twice that value for twos-complement-bipolar.

Ideal ADC and DAC models connect digital codes to a reference span and quantization step. Coding, endpoint conventions, and reference behavior determine the meaning of a code-domain term.

Use referenceVoltage / 2^bits for unipolar bin width or twice that value for twos-complement-bipolar.

When to use this tool

Use Microcontroller: ADC Code Bin Midpoint when you need one explicit converter coding, resolution, or analog-model term.

How to use the tool and how it works

  1. Enter code, bits, referenceVoltage, coding. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read result. Expand result to inspect the returned fields.

Use referenceVoltage / 2^bits for unipolar bin width or twice that value for twos-complement-bipolar. Return (code + 0.5) × bin width as midpointVoltage for either coding.1

Input fieldMeaning and unitsAccepted input
codeCodeRequired. Safe integer.
bitsBitsRequired. Safe integer.
referenceVoltagePositive converter reference voltage in volts.Required. Finite number.
codingCodingRequired. Text; one of "unipolar", "twos-complement-bipolar". Implementation limit: 8192 Unicode code points and 16384 UTF-16 code units.
Output fieldInterpretationReturned shape
resultResultRequired. Object.
result.midpointVoltageIdeal code-bin midpoint in volts under the selected coding.Calculated result member: number.
result.binWidthVoltageIdeal voltage width of one quantization bin, in volts.Calculated result member: number.
json
{
  "input": {
    "code": 0,
    "bits": 3,
    "referenceVoltage": 8,
    "coding": "unipolar"
  },
  "output": {
    "result": {
      "midpointVoltage": 0.5,
      "binWidthVoltage": 1
    }
  }
}

Limitations and assumptions

  • These are ideal quantization-bin midpoints under the specified coding, including asymmetric endpoint midpoints; actual ADC transition levels and saturation are not modeled.
  • Outputs are nested inside result. Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
  • Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.

Alternative or Complementary methods

Compare the ideal term with device transfer curves, noise, calibration, and acquisition requirements.

References

  1. Calculation and input contract: microcontroller/adc-code-bin-midpoint — tool.io

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