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Texas Instruments DAC7821: I have a sine wave input to the VREF pin, but it saturates as I reduce the code on the digital input.

Data converter D/A converter

See Figure 8 on page 7 of the datasheet.
If you lower the code of the input and increase the attenuation, the bandwidth will change.
Therefore, lowering the code and lowering the gain will saturate, depending on the signal frequency.

See datasheet for details.
Corresponding part: Data sheet P7, Figure 8
http://www.tij.co.jp/general/jp/docs/lit/getliterature.tsp?genericPartNumber=dac7821&fileType=pdf

*This answer is as of data sheet Rev.B.
Please note that chapters and drawing numbers may change when the datasheet is updated to a new revision.

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