DAC behavior definition: A digital-to-analog converter is said to be ________ if its analog output never decreases when the binary input code increments to the next value.

Difficulty: Easy

Correct Answer: monotonic

Explanation:


Introduction / Context:
In precision control and measurement systems, a fundamental requirement is that a DAC’s output behaves predictably as the digital input code increases. The formal property that captures this is called monotonicity. Knowing this term helps engineers specify converters correctly for closed-loop applications.



Given Data / Assumptions:

  • Input codes increase in standard binary sequence.
  • We consider ideal static behavior for the definition (ignoring transient glitches).
  • “Never decreases” refers to the final settled output after each code step.


Concept / Approach:
A DAC is monotonic if each increment in code results in an output that is greater than or equal to the previous output. This property ensures no “code reversals,” where a higher code produces a lower output, which can destabilize control loops and degrade audio or instrumentation quality. Monotonicity is closely related to differential nonlinearity (DNL); a DAC with DNL greater than −1 LSB is guaranteed monotonic.



Step-by-Step Solution:

Define behavior: for any code k, Output(k+1) ≥ Output(k).Connect to DNL: DNL ≥ −1 LSB implies no negative steps, hence monotonic.Conclude the correct term for “never decreases with increasing code” is “monotonic.”


Verification / Alternative check:
Datasheets often state “monotonic to n bits,” indicating guaranteed adherence to this property over the specified code range.



Why Other Options Are Wrong:

Self adjusting: Not a standard DAC property.Accurate: Accuracy refers to closeness to ideal; monotonicity is about order preservation.Broken: Colloquial and undefined; not a formal specification.


Common Pitfalls:
Confusing monotonicity with linearity; a DAC can be monotonic yet have significant INL.



Final Answer:
monotonic

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