3. Integer Arithmetic - Audio Number Formats

This video talks about the different arithmetic operations that are possible on integers including binary addition, subtraction, multiplication, division and bit shift operations. The idea behind this video is to talk about the relative complexity of operations and show that not all mathematical operations have the same level of complexity. It also sheds light on the power of "power of 2" numbers, and sometimes the dark side of it too, if not careful. In the end, the video emphasizes the need to not left efficiency drive programming, but rather clean and understandable code. Content: 0:00 Addition & subtraction 0:54 Multiplication 4:15 Bit shift operators 9:39 Power of power of 2 Watch the full playlist here: https://www.youtube.com/playlist?list=PLbqhA-NKGP6Deb72dGjrwxM0_9lHkKqD_ References: https://en.wikipedia.org/wiki/CPU_cache#Cache_miss http://www.dspguide.com/ch4/2.htm https://inst.eecs.berkeley.edu/~cs61c/sp06/handout/fixedpt.html https://doc.xdevs.com/docs/_Materials/FixedPointArithmetic.pdf 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. If you've got any questions, suggestions or recommendations, type them out here, or send me a message on any of my social channels mentioned below. A lot of time was spent on creating this series, and I plan to do more. So please consider subscribing if you wish to be notified about more releases in the future. And if you feel generous: https://www.patreon.com/akashmurthy Check out my music here: https://farfetchd-official.bandcamp.com/ Check out the audio track in the intro and outro here: https://soundcloud.com/thrifleganger/tinderbox Give me a shout here: Facebook - https://www.facebook.com/akash.murthy.319 Instagram - https://www.instagram.com/thrifleganger/