Key benefit of the R/2R ladder DAC architecture Compared with a binary-weighted-resistor DAC, what is the principal advantage of the R/2R ladder approach?

Difficulty: Easy

Correct Answer: It uses only two different resistor values.

Explanation:


Introduction / Context:
Choosing a DAC topology affects accuracy, cost, and manufacturability. The R/2R ladder dominates discrete implementations because it relaxes resistor tolerance and matching requirements.



Given Data / Assumptions:

  • Comparing R/2R ladder versus binary-weighted resistors.
  • Equal nominal performance targets (same bit width).


Concept / Approach:
In a binary-weighted DAC, resistor values span wide ratios (e.g., R, 2R, 4R, 8R, …), making precision and matching difficult. The R/2R ladder instead uses only two values (R and 2R) repeatedly, greatly simplifying trimming and keeping parasitics consistent—resulting in better matching and scalability.



Step-by-Step Solution:

Identify what makes R/2R practical: only two resistor values.Recognize manufacturing and tolerance benefits of using just R and 2R.Select the option that states this core advantage.


Verification / Alternative check:
Review of typical DAC IC datasheets and textbooks consistently cites “only two resistor values” as the R/2R ladder’s major advantage.



Why Other Options Are Wrong:

  • Fewer parts: Part count is similar for a given resolution.
  • Easier analysis: Analysis simplicity is not the primary advantage.
  • Virtual ground eliminated: Many implementations still use an op-amp summing node at virtual ground.


Common Pitfalls:

  • Confusing lower parts variety with lower part count.


Final Answer:
It uses only two different resistor values.

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