First of all, it's not completely known whether or not our minds work on an analogue basis or digital as it currently stands. We know (for instance) that the human eye takes around 70 'images' a second, and then builds a picture of motion upon that. Movies are a massive number of still images strung together at 24 frames per second. This is enough to trick the mind into accepting the series of images as a moving picture. In modern video games, people demand more powerful graphics cards so they can increase their frame rate; the faster the frames refresh, the smoother the action on the screen.
So; let's assume for a moment that the eye worked in a more analogue fashion; a typical motion picture would appear to jerk and would look quite digital to us because we're expecting smooth transitions between frames, especially during more intense movement scenes.
Alternatively, let's assume that the eye was only capable of sampling (say) 10 frames per second. There would be absolutely no difference in our perception between the real world and the moving picture.
From all this, we can extrapolate several ideas.
1) If the universe is digital and our minds and senses are analogue, the world would appear to jerk a little around us.
2) If the universe is analogue and our minds and senses are digital, then the world will always seem smooth to us.
3) If the universe, our senses and our minds are all digital, then the real underlying question is that of frame rate. If our minds (and senses) operate at a faster rate than the universe, our perception would jerk from one 'frame' to the next. If our minds and senses operate at the same (or slower) rate than the universe, then (in theory) our perception would be identical to that as we would experience with an analogue - analogue combination. The underlying physics would be very different, but our perception would be more or less identical.
It is this underlying ratio that brings up a broader question; we may think that the universe is analogue, but what if that is just because it's operating at a very high frame rate? Eventually, the granularity between each universal 'state' in a digital universe becomes so fine that it can no longer be distinguished between a digital and analogue state.
Put another way; at what point of granularity do we decide that a system is so smooth as to be defined as continuous (analog) rather than a series of discrete states (digital)?
This is perhaps the more intriguing question as at certain levels of granularity, both digital and analogue descriptions of the universe (and their resultant predictions) may prove true. Does this mean that a universe that works at that level of granularity is both digital and analogue in nature? The problem soon becomes one of definition and capacity to measure and observe.
Is this exactly what's happening in the Quantum Mechanics space right now? Not for me to say, but getting back to the question at hand; the answer lies on a spectrum of granularity that we may not be able to ever fully measure.