In this video, we're learning about fixed-point: A different method for doing non-integer arithmetic without floats!
Floating point is a ubiquitous standard that works everywhere, but it needs specialised hardware to have any chance of running fast. This can make calculations on low-powered microcontrollers extremely expensive. Fixed-point solves, giving us a method for cheaply computing fractional results with flexible precision!
00:00:00 Intro
00:03:46 Floating point vs fixed point
00:10:07 Fixed point bit representation
00:17:10 Code: Fixed point defines
00:21:30 Getting to the integer and fractional parts
00:24:24 Sign function and representing ints in fixed point
00:32:14 Converting to and from floating point
00:36:23 Addition and subtraction
00:38:27 Multiplication
00:42:20 Division
00:48:52 Rounding operations
00:50:14 Absolute value
00:54:50 Floor
00:58:57 Getting the fractional part
01:02:38 Ceiling
01:05:37 Round
01:14:14 Motivating example: Analog to digital converter readings
01:30:10 Next time: Sines and cosines
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