A lecture on IEEE floating point from CMU including most of the gotchas the pdf contains https://scs.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7cceb0cb-e0

A lecture on IEEE floating point from CMU including most of the gotchas the pdf contains https://scs.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=7cceb0cb-e07c-4043-a7f3-d4d8c4661512 https://scs.hosted.panopto.com/Panopto/Pages/Viewer.aspx?id=... This is an active research area, ENS de Lyon has a lot of material available if interested implementing floating point on FPGAs, plus there is Vol 2 of The Art of Computer Programming where Knuth shows the reader how Babylonian mathematicians made extensive use of a sexagesimal (radix sixty) positional notation that was unique in that it was actually a floating point form of representation with exponents omitted.