7. Floating Point Format - Audio Number Formats

Опубликовано: 11 Октябрь 2024
на канале: Akash Murthy

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In this video, we talk about the floating point format, specifically the IEEE 754 specification for floating point number of both 32-bit floats and 64-bit double. We'll talk about the bitwise representation and interpretation of different real numbers in a floating point binary system.

Watch the full playlist here:
   • Audio Number Formats

Content:
0:00 Introduction
2:19 Sign
3:13 Exponent
4:40 Mantissa
6:32 Examples
9:43 Range
11:50 64-bit doubles

References:
https://www.h-schmidt.net/FloatConver...

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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