[EN] ByteSized: fun with floating points - U Ruede, A Herten and E di Napoli

[EN] ByteSized: fun with floating points - U Ruede, A Herten and E di Napoli

From Code for Thought by Peter Schmidt

March 30, 2026 · 41 min · Season 11 · Episode 9

About this episode

This episode discusses how real numbers are represented on computers and the implications of their representation in calculations.

English Edition: how are real numbers e.g. 0.1 represented on computers? What can go wrong with using their representation in calculations? And does it matter? These and other questions are the subject of this ByteSized episode with my guests Prof. Ulrich Ruede (University of Erlangen-Nuernberg), Andreas Herten and Edoardo di Napoli (both Research Centre Juelich). Links: https://www.h-schmidt.net/FloatConverter/IEEE754.html an online tool to convert numbers into their bit/hex equi...

People in this episode

Host: Peter Schmidt

Guests: Prof. Ulrich Ruede, Andreas Herten, Edoardo di Napoli

Topics covered

  • floating point representation
  • real numbers
  • computational errors
  • calculations
  • computer science

Keywords

  • floating points
  • real numbers
  • IEEE 754
  • computational errors
  • bit representation

Mentioned in this episode

Organizations: University of Erlangen-Nuernberg, Research Centre Juelich

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