The binary number system consists of groupings of two. Its base is two.
The decimal number system consists of groupings of ten. Its base is ten.
Depending on the base of the number system used, a number does not represent the cardinal of the objects. To represent 33 objects, we could write:
[latex]33_{ten}[/latex] or [latex]53_{six}[/latex] or [latex]100\space001_{two}[/latex]
