Final answer:
An up/down synchronous counter can count in both directions and can be reversed at any point without needing a reset.
Step-by-step explanation:
The question concerns the operation of an up/down synchronous counter. The correct statement that best describes its operation is that the counter can count in either direction and can generally be reversed at any point in its counting sequence. Unlike asynchronous counters, synchronous counters are designed in such a way that their count can be controlled and reversed at any point without needing to reset the counter first.