Op-amp applications — A digital-to-analog converter (DAC) can be implemented using which classic operational-amplifier building block, where weighted digital inputs are summed to produce a proportional analog output voltage?

Difficulty: Easy

Correct Answer: scaling adder

Explanation:


Introduction:
A digital-to-analog converter (DAC) transforms an N-bit digital word into a proportional analog quantity. One of the most common analog circuit realizations for a voltage-output DAC is based on the op-amp summing amplifier, often called a scaling adder, where each digital bit drives a weighted branch whose contribution is summed at the op-amp input.


Given Data / Assumptions:

  • Goal: convert a digital word into an analog voltage.
  • Available op-amp topologies: summing (scaling) adder, noninverting amplifier, voltage-to-current converter, etc.
  • Binary weighting can be implemented by resistor networks (R-2R ladder or binary-weighted resistors).


Concept / Approach:

A scaling adder sums currents from multiple input resistors into the op-amp’s inverting node (virtual ground). Each input branch is weighted so that its contribution is proportional to the digital bit’s significance. With an R-2R ladder or binary-weighted resistors, the summed current becomes an output voltage via the op-amp’s feedback resistor, creating a precise, linear mapping from code to voltage.


Step-by-Step Solution:

Represent each digital bit (b_k ∈ {0,1}) as a switch feeding a weighted resistor.Currents add at the inverting node: Itotal = Σ (Vref * b_k / Rk).Op-amp converts current to voltage: Vout = −Rf * Itotal.Choose Rk so each bit contributes 2^k weighting (or use R-2R network); linear DAC achieved.


Verification / Alternative check:

R-2R ladders are industry-standard DAC cores. Their front end is exactly a current summing (scaling) network terminated at an op-amp that performs I-to-V conversion, i.e., a scaling adder behaviorally.


Why Other Options Are Wrong:

  • voltage-to-current converter: Often part of DACs but alone does not implement code-weighted summation.
  • noninverting amplifier: Provides gain to a single analog input, not code-weighted summation.
  • adjustable bandwidth circuit: A filter concept, not a DAC core.
  • instrumentation amplifier: Precision differential gain, unrelated to code summation.


Common Pitfalls:

  • Confusing the op-amp I-to-V stage with the entire DAC function; the essential feature is weighted summation.
  • Ignoring resistor matching and reference stability, which set DAC linearity and accuracy.


Final Answer:

scaling adder

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