Embedded ADC code conversion calculator

Calculate ideal unsigned ADC code and code lower boundary with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use ideal unsigned ADC code and code lower boundary to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

ADC reference span (V)
3.3
Resolution bits
12
Input voltage relative to lower reference (V)
1.65
Ideal unsigned ADC code
2048
Code lower boundary (V)
1.65
Code upper boundary (V)
1.650806

Try another scenario

ADC reference span (V)
3.63
Resolution bits
12
Input voltage relative to lower reference (V)
1.65
Ideal unsigned ADC code
1861
Code lower boundary (V)
1.649275
Code upper boundary (V)
1.650161
Calculation method

Calculation method

Ideal unsigned ADC code

floor(input/reference ×2^bits), capped at max code at exactly full scale.

Code lower boundary (V)

Code×reference/2^bits.

Code upper boundary (V)

(code+1)×reference/2^bits, full-scale terminal boundary.

Symbols and units
a
ADC reference span (V)
b
Resolution bits
c
Input voltage relative to lower reference (V)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Reference voltage, resolution, input voltage, coding. Returns Ideal code and quantization interval. All coefficients and observations are user supplied; results describe only the stated mathematical model. Quantities are deterministic calculations from supplied observations and assumptions; no external data is fetched. Supported limits: Finite inputs only; numeric fields bounded as labelled. Lists and JSON records are limited to 256 entries unless a stricter tool bound is stated. No automatic design approval, legal conclusion, treatment recommendation or safety certification. ADC reference span (V): minimum 1e-12, maximum 1000000000000.0. Resolution bits: minimum 1, maximum 32. Input voltage relative to lower reference (V): minimum 0, maximum 1000000000000.0.
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