low level bit hacks
I decided to write an article about a thing that is second nature to embedded systems programmers - low level bit hacks. Bit hacks are ingenious little programming tricks that manipulate integers in a smart and efficient manner. Instead of performing some operation (such as counting the 1 bits in an integer) by looping over individual bits, these programming nuggets do the same with one or two carefully chosen bitwise operations. ...
http://www.catonmat.net/blog/low-level-bit-hacks-you-absolutely-must-know/
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https://studyalgorithms.com/theory/low-level-bit-hacks-that-you-must-know/
https://de.wikipedia.org/wiki/Dualsystem
Hacker's Delight is a software algorithm book by Henry S. Warren, Jr. first published in 2002. It presents fast bit-level and low-level arithmetic algorithms for common tasks such as counting bits or improving speed of division by using multiplication.
https://en.wikipedia.org/wiki/Hacker%27s_Delight (https://en.wikipedia.org/wiki/Hacker%27s_Delight)