Mystery Mini Challenge

Description:This bizarre-looking User RPL program takes any real integer and returns the number of bits required to express it in binary. Mini-Challenge: figure out why it works.
Filename:bits.txt
ID:6702
Author:Joseph K. Horn: http://HolyJoe.Org
Downloaded file size:419 bytes
Platforms:48  
User rating:Not yet rated (you must be logged in to vote)
Primary category:Docs/Misc
Languages:ENG  
File date:1995/08/03 00:00:00
Source code:Not included
Download count:2,370
Version history:2008/08/12: Added to site
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Part of the HP Calculator Archive,
Copyright 1997-2021 Eric Rechlin.