Almost there -- but 16mm is 16mm, DX or not. The DX lenses may have a smaller image circle, so that they "vignette" or show a falloff or even the edge of the image circle on a full sized (24 by 36 mm) sensor. This may be true for only part of the range on a zoom, as explained by Thom Galbraith in his review of the 17-55 DX AF-S zoom review, quoted briefly below:
"Light falloff is well under control throughout the range on digital bodies. On 35mm bodies, you'll see light fall off at all focal lengths and clear vignetting caused by the small image circle begins at about 26mm. In other words, you could use this lens on a full frame body from about 26-55mm in a pinch."
Also, some DX lenses may have limited clearance between the rear of the lens and the mirror/sensor/film plane stuff inside the camera -- and those would not be useable with some cameras not intended for the DX series.
All the best,
Chris