Unsigned arithmetic is useful for wrapping clocks, like interrupt tick counters and whatnot. There is always some current value, "now". There is a range of it defined as the future. Everything outside of that range is considered past. Timers are never set farther into the future beyond the range, and are expired in a timely way so that unexpired timers never recede sufficiently far into the past that they appear to flip to the future. One way of doing it is to just cut the range in half: take the difference between two times t1 - t0 and cast it to the same-sized signed type. If the difference is positive, then t1 is in the future relative to t0. If negative, t1 is in the past relative to t0.

This is one of those niche uses of unsigned.

You probably want to hide it behind an API, where the domain is opaque and abstract and you have function such as a time_before(t1, t0) predicate.