I am aware that the tag on the question indicates the asker is from the US, but for the wider audience this may be of benefit. In the UK, in many circumstances if you do not tell an officer your name, address and date of birth, they may arrest you for the simple practical reason that you might be difficult to locate again later. So it is sometimes in your interest to give that information when asked. Some people believe it's better to wait until after you have been booked, I don't have the expertises to make a strong statement on that, but personally these are questions I would always answer when asked to reduce the chance of being arrested in the first place.
Furthermore, when interacting with the police;
You do not have to say anything, but, it may harm your defence if you do not mention when questioned something which you later rely on in court.
This is further discussed in this Wikipedia article;
The Criminal Justice and Public Order Act 1994 provides statutory rules under which adverse inferences may be drawn from silence.
Adverse inferences may be drawn in certain circumstances where before or on being charged, the accused:
fails to mention any fact which he later relies upon and which in the circumstances at the time the accused could reasonably be expected to mention;
fails to give evidence at trial or answer any question;
fails to account on arrest for objects, substances or marks on his person, clothing or footwear, in his possession, or in the place where he is arrested; or
fails to account on arrest for his presence at a place.
So, in short, if you are accused of a crime, and have a convincing defence such as an alibi, it may cause problems if you refuse to share it before going to court. I believe that this is mostly to avoid wasting court time. You are entitled to legal representation when being questioned though, so the legal representation would presumably advise you on this point.