Определение bust digits в Английский Язык Английский Язык словарь
To get someone's telephone number. - I need a date for tomorrow night, so I'm going to try to bust some digits tonight.- I stood at the bar busting digits all night long
This is African-American slang. 'Digits' are numbers, and 'bust' means 'break open'. So the phrase suggests that you're getting some numbers from a source that has to be opened up.