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The number of symbols in the base of a number is equal to the base. Thus if the base is 2, there are two symbols, if the base is 8, there are eight symbols, if the base is 10, then there are ten symbols, if the base is 16, then there are sixteen symbols. Note that in each case "0" is a symbol. Also the base itself is not in the set of symbols. Thus there is no symbol for "2" in the base 2 system, no symbol for "8" in the base 8 system and so on. In each case the base is represented by the combination of the primitive symbols that run from 0 through (base - 1). Thus two in the base 2 system is represented as 10, eight in the base 8 system is represented by 10, and so on.

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Q: How many symbols exist in the base of a number?
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