Again MSDN does not really explain in plain English the exact difference, or the information for when to choose one over the other.
CHECKSUM
R
Be careful when using CHECSUM, you may get un-expected outcome. the following statements produce the same checksum value;
SELECT CHECKSUM (N'这么便宜怎么办?廉价iPhone售价再曝光', 5, 4102) SELECT CHECKSUM (N'PlayStation Now – Sony startet Spiele-Streaming im Sommer 2014', 238, 13096)