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A digit is a single whole number (0 to 9) in a number 10 or larger. For example, the number 432 has 3 digits. Each digit has a place value. In the number 432, the 2 is the number of ones in the number. The 3 is the number of 10's in the number, and the 4 is the number of 100's in the number.
A digit is an element of a set that, taken as a whole, comprises a system of numeration. Thus, a digit is a number in a specific context. In the decimal (base-10) Arabic numbering system, the digits are the elements of the set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. In the binary number system, the digits are the elements of the set {0, 1}. This system is used by computers because the two digits can represent the logic low and high states. The term binary digit is compressed to  bit  in computer parlance.