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Typically, the base is 10 unless indicated otherwise.
A number written 10001 could be base 10 - or any other base.
It's usually not necessary to indicate base 10, but you could write 1000110
If this were base 2, there should be a subscript 2: 100012
To be clear you may want to include the 10
810 = 10002 910 = 1003 1510 = F16
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