Youtuber Ben Eater is uploading a series of instructional videos on building a programmable 8-bit computer from digital logic circuits on breadboards. No soldering required. The series is ongoing, updated weekly.
The Nand2Tetris course is not a physical build (everything is done on a hardware simulator), but it shows how to bootstrap from boolean logic to NAND gates to a working (but simple) ALU to finally a working general purpose computer.
(Score: 1) by HighOrbit on Monday May 08 2017, @08:05PM
On a similar note, I am running through the Nand2Tetris book and courses aka "Building a Modern Computer from First Principles".
http://www.nand2tetris.org/ [nand2tetris.org]
The Nand2Tetris course is not a physical build (everything is done on a hardware simulator), but it shows how to bootstrap from boolean logic to NAND gates to a working (but simple) ALU to finally a working general purpose computer.