Posits – Beating Floating Point at its Own Game | #SoME4

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Chapters: 0:00 Intro 1:32 Floating Points 3:07 Floats Example 6:50 Posits 10:43 Posits Example 12:23 Are Posits really better? 14:45 Closure plots 19:00 Speed comparison 20:09 Conclusion & Thank you In this video, we explore posits, an alternative exposition to floats. We first explain the basic concept of floats and posits and then we proceed with comparing both of them. Do posits beat floats at their own game? Or are they just one more in the long list of unsuccessful efforts to improve floating-point representation? Interactive demo for the closure plots: https://plots.eliavaux.com Further reading & watching: how floating point works https://youtu.be/dQhj5RGtag0?si=Q50qsSz00amdGG3W Fast Inverse Square Root — A Quake III Algorithm https://youtu.be/p8u_k2LIZyo Posithub https://posithub.org/ Beating Posits at Their Own Game: Takum Arithmetic https://doi.org/10.1007/978-3-031-72709-2_1 Animations created by: Lennard Scharein Carsten Schlieben Elias Schaper Maximilian Prietzel from Freie Universität Berlin Sources: https://docs.google.com/document/d/1Ur_JfonrHUcbIGtzfcgT0qZ7Zr4ssZbidyxmnkERwWM Music: To the Glowing Forest by Piki | https://www.hallopiki.com Free To Use | https://freetouse.com/music Music promoted by https://www.free-stock-music.com Enchanted Journey by Kevin MacLeod (incompetech.com ) Licensed under Creative Commons: By Attribution 3.0 License http://creativecommons.org/licenses/by/3.0/ Married Life by Aylex | https://freetouse.com/music/aylex Free To Use | https://freetouse.com/music Music promoted by https://www.free-stock-music.com Other Music by Vincent Rubinetti Download the music on Bandcamp: https://vincerubinetti.bandcamp.com Stream the music on Spotify: https://open.spotify.com/artist/2SRhEEt2tlDQWxzwfUo9Dl This video wouldn't have been possible without the open source library Manim, created by 3blue1brown and maintained by Manim Community. The Manim Community Developers. (2025). Manim – Mathematical Animation Framework (Version v0.19.0) [Computer software]. https://www.manim.community/ Here is link to the repository that contains the code used to generate the animations in this video: https://github.com/kadsendino/some4 Special Thanks to: John L. Gustafson & Isaac Yonemoto – Inventors of the Posit number system Pihedron (check out his youtube channel) – For giving out early advice on creating our video Paul L. Kellermann – For helping us build and host the website Carykh – Creator of Scale of Universe Daniel Yu - For working on the project with us David L. Harwardt – For giving his advice while writing the rendering software