voidconst f() is equivilent to constvoid f(), which means the return type (in this case a void) is const. This is totally meaningless not only because it's a void (there is nothing there that needs a const qualifier), but also because it's a return type (returning something as const doesn't make a whole lot of sense).
void f() const makes the function itself const. This only really has meaning for member functions. Making a member function const means that it cannot call any non-const member functions, nor can it change any member variables. It also means that the function can be called via a const object of the class:
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class A
{
public:
void Const_No(); // nonconst member function
void Const_Yes() const; // const member function
};
//-----------
A obj_nonconst; // nonconst object
obj_nonconst.Const_No(); // works fine
obj_nonconst.Const_Yes(); // works fine
const A obj_const = A(); // const object
obj_const.Const_Yes(); // works fine (const object can call const function)
obj_const.Const_No(); // ERROR (const object cannot call nonconst function)