That was the reason they developed game clocks that could count down in tenths, specifically for basketball. Before that, the display would go to zero, but the horn/buzzer wouldn’t sound for another second, which actually meant that time had expired. Officials had to listen for the sound to rule whether or not a player released his shot before or after the buzzer, hence the term “buzzer beater.”
When a digital clock is set to some number, like 15:00 (minutes) and started, instantly the display changes to 14:59, until one full second elapses, then it changes to 14:48, etc. When it get less than one second, and it can display 10ths, it will display 0:00:9, etc. If it can not display 10ths, then it goes to 0:00, and any horn/buzzer will sound after one full second elapses. For football, the NCAA rules makers decided that such precision isn’t desirable, so, by rule, clocks are not permitted to display 10ths.