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No, infinity is not a digit. It is a concept used in mathematics to represent a quantity that is larger than any number. In the decimal system, digits are the symbols used to represent numbers (0-9).
There are 10 digits in our number system. The symbols 0,1,2,3,4,5,6,7,8,and 9 are the digits used to create numbers.
binary
The answer depends on what "this" system is!
hindu-arabic numeral system