DAC output nature — “The output of a digital-to-analog converter is truly an analog signal.” Evaluate this claim considering real DAC behavior.

Difficulty: Easy

Correct Answer: Incorrect

Explanation:


Introduction / Context:
DACs translate numeric codes into voltages or currents. While the output is an electrical (analog-domain) quantity, practical DACs produce discrete step changes with finite settling time, glitch energy, and update rate. The statement claims the output is “truly” analog; we must interpret this against signal theory and hardware realities.

Given Data / Assumptions:

  • Zero-order hold behavior between code updates.
  • Finite resolution (LSB size) and finite settling time.
  • No external analog reconstruction filter unless stated.


Concept / Approach:
A stand-alone DAC output is piecewise-constant: it jumps in quantized steps at update instants, then holds. Although the amplitude is continuous within tolerance (not logic-level digital), it is not a perfectly continuous-time, band-limited analog waveform. To obtain a smooth analog signal, designers often follow the DAC with a reconstruction (low-pass) filter that removes images/steps and approximates the desired waveform.

Step-by-Step Solution:

Recognize zero-order hold: output remains constant between updates.Account for quantization: smallest change is 1 LSB; output is stair-stepped.Note dynamics: finite-time settling and glitches further deviate from “ideal continuous.”


Verification / Alternative check:

Oscilloscope observation shows discrete steps; adding a low-pass filter yields a smoother waveform closer to “truly analog.”


Why Other Options Are Wrong:

Correct: Overstates the purity of the analog nature; steps contradict “truly.”True only after a reconstruction filter: This is a useful nuance but the statement as given (without filter) should be judged false.Depends solely on word length: Resolution helps but cannot eliminate discrete updates without filtering.


Common Pitfalls:

Equating “not digital logic levels” with “perfect analog.”Ignoring sample-and-hold and reconstruction requirements of DAC systems.


Final Answer:

Incorrect

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