PDF to Github Flavored Markdown

Question

I have a project description in PDF and I will be quite happy if I can somehow manage to preview it in github website rather than clicking "View Raw" and downloading it.

I thought there could be a converter from pdf to github flavored markdown yet found none.

To state again, my input is a pdf file and my desired output is the preview the contents of the pdf in github website without downloading it.

Answer 1

Update March 2015: "PDF Viewing"!

Simply browse to a PDF document and we'll render it in your browser like any other file.
From presentations to papers, we've got you covered.
Many thanks to Mozilla and every contributor to PDF.js.

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Original answer (October 2014)

This is simply not (yet?) supported in GitHub.

The best you can do is a greasemonkey extension which would allow you to call a pdf viewer, like the recent pdf.js (a Portable Document Format (PDF) viewer that is built with HTML5.), allowing you to view a pdf entirely online, without any pdf plugin installed.
See that example on jsbin.