As NBA viewers, we see that they keep time up to tenths of a second. But officially do they keep track of time to hundredths (or perhaps even thousandths) of a second?
Here's an example. Say there are 'really' 27.12 seconds left in the quarter, with a team to inbound the ball. The team inbounds the ball and then commits a 24 second shot-clock violation. At this point the referees will typically stop the play and reset the clock to what it should be. Viewers at home will see that they reset the clock to 3.1 seconds (correct me if I'm mistaken). My question is this: Do they in fact reset it to precisely 3.12 seconds? Or do they really just reset it to 3.10 seconds?