5. Motivation for Floating Point Numbers - Audio Number Formats
In this video, we'll talk about the motivations for the need of a new number format, and explore how scientific notation helps with mapping really small and really large numbers with relative accuracy. We'll derive the blueprint for the floating point format and build on it in consequent videos.
Watch the full playlist here:
• Audio Number Formats
References:
https://www.exploringbinary.com/binar...
http://www.dspguide.com/ch4/3.htm
This series describes the 2 fundamental formats for expressing numbers and audio data in the digital domain - fixed point format and floating point format. They both have their advantages, their areas of usage where they absolutely shine, and they both fall short or completely fail in other aspects. There is no one over the other. As audio and DSP enthusiasts, you'd need to know what where a particular format is preferred and under what circumstances they fall short. Why do digital playback hardware prefer fixed point number format. Why do DAW softwares prefer to work with floating point numbers? What even is a double precision number? And what number format do you use when implementing a DSP algorithm. The series will address these questions and a lot more.
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