Can someone apply for F1 visa while holding a H1B but has never travelled to the USA

Hi All,

I want to know if one can apply for F1 visa while holding a stamped H1B (Valid till August 2017) visa but has never travelled to US.

If yes, What will happen to H1B visa?

If No, What procedure needs to be followed to get F1 visa?

Would the case be H1B cap exempt once the course is finished in april 2017?

Need help urgently.

Regards,

RB