Computer Technology in Sirius

[mith]

Seriously, go nuts. It's not all that improbable that you'll see the first 1 Petahertz processor within your lifetime ("Moore's Law" - now defunct due to the limitations of current commercially viable materials - would've put that date in the mid 2020s) so the figures involves could be astronomical. We'd be past Yottahertz anyway, which is 24 zeros in comparison to Gigahertz, which is a measly 9 zeros. In perspective:

1,000,000,000
1,000,000,000,000,000,000,000,000

In fact we'd be so far beyond this that we'd have to invent new names if we were to continue expressing things in this manner. It's far more likely we'd be dealing in the terms of quantum mechanics, and that's a kettle of fish you really, really don't want to get into.

Suffice to say, make something up.