Depends on the lab and hospital, and consultant's requirements.
My local district general tests down to 0.01, which their consultants regard as good enough for prostatectomy patients. My GP uses this hospital lab too.
My treatment hospital tests down to 0.1, which the consultants (both urology and oncology) regard as not good enough for prostatectomy patients, so their PSA samples are sent off-site to another lab to get more accurate results (don't know what resolution, as I'm not in that category). My oncologist prefers I get my tests done at my local district general, because he prefers the 0.01 resolution.
Another hospital I'm involved with (but not treated at) provides two different PSA tests in their lab. Prostatectomy patients are tested down to 0.003 (the minimum available as far as I know), but other patients are tested to 0.1. A G9 prostatectomy patient I have supported was put in the wrong testing bucket, and only being tested to 0.1. When he went from <0.1 to 0.1 and the urologists/oncologists then realised he hadn't been tested on the 0.003 machine as they'd expected, this caused complications, because recommended treatment options were based on how fast it had been rising, and that data was unavailable. This caused him some considerable stress, because of the lack of certainty on the path to follow.