Maximum number of points in plot?

I’m studying patterns in a signal of zeros and ones. I might analyze billions of data points, so I can’t directly visualize everything. But I’d like to visualize a piece of the data that is a large as possible. What is the largest numbers of zeros and ones I can plot on a horizontal axis, while not overloading Mathematica. Also, it needs to be a number that I can put in a plot for a journal.

Hi Christopher

Also, it needs to be a number that I can put in a plot for a journal.

In that case, printer resolution is the limitation, not Mathematica

ArrayPlot[
 {RandomInteger[1, 2000]},
 Frame -> False,
 ImageSize -> 2000]

Try looking for patterns or anomalies in the data and visualize that rather than the raw data.

Good points. Thank you Rohit for taking the time to respond.