A (maybe The) job of science is to decode what is signal and what is noise.
Sometimes it's obvious, most of the time it's not.
A quick calc: $$ \frac{1024 \; \textrm{bits}}{5 \; \textrm{V}} = 204.8 \; \textrm{bits/V}$$ or, more useful would be how many Volts per bit: $$ \frac{5 \; \textrm{V}}{1024 \; \textrm{bits}} = 0.00488281 \; \textrm{V/bit} \approx 5 \; \textrm{mV}/\; \textrm{bit}$$
Improve your instrumentation ($)
Reduce the environmental noise in your experiment ($ and Brains)
Do some math (just brains)
Always a tradeoff between speed and resolution