How to generate a random number from a random bit generator and guarantee termination?

How to generate a random number from a random bit generator and guarantee
termination?

References

Reference NO 1

http://www.cplusplus.com/articles/EywTURfi/

Reference NO 2

http://docs.oracle.com/javase/7/docs/api/java/util/Random.html

Reference NO 3

https://defuse.ca/generating-random-passwords.htm

Reference NO 4

http://www14.in.tum.de/personen/scheideler/papers/OPODIS-116b.pdf

Reference NO 5

http://openfortress.org/cryptodoc/random/

Reference NO 6

http://www.mikeash.com/pyblog/friday-qa-2011-03-18-random-numbers.html

Reference NO 7

http://www.chiark.greenend.org.uk/~sgtatham/puzzles/devel/utils.html

Reference NO 8

http://eprint.iacr.org/2013/338.pdf