DAC quantization noise on DC output
For a DC output, a DAC will not have quantization noise, but it will have quantization error.

EDIT - While noise is technically any unwanted or erroneous component of a signal, in practice it is used to refer to the AC component of such error. For instance, noise is normally characterized as having a spectral density measured in $$\frac{quantity}{sqrt{Hz}}$$ or volts/amps/power/etc divided by the square root of the measurement bandwidth. DC, however, has zero bandwidth, so any such measurement would give an infinite value for DC "noise". As a result, static errors are usually referred simply as errors, or DC errors if context requires. In the case of a DAC with a DC output, the error caused by quantization is called quantization error.