In any case in which an oath may lawfully be and has been administered to any person, if it has been administered in a form and manner other than that prescribed by law, he is bound by it if it has been administered in such form and with such ceremonies as he may have declared to be binding.

Where an oath has been duly administered and taken, the fact that the person to whom it was administered had, at the time of taking it, no religious belief, shall not for any purpose affect the validity of the oath.