# DAC quantization noise on DC output

Does the output of a DAC have quantization noise when outputting a DC voltage value? It seems to me that it will not as long as the DC value does not fall between two output levels of the DAC.

All the information I have been able to find regarding quantization noise of a DAC discusses it in the context of outputting a sawtooth wave or sine wave, and then it ends up being proportional to 1 LSB spread uniformly over the bandwidth of the DAC.

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.