NaN Gates and Flip FLOPS

And the operators +, -, *, and / lack some of the properties of addition, subtraction, multiplication, and division. Tom7 has a good video about this: ▶ this video

Not sure how well it fits what you're looking for, but if you're not already aware of tom7/suckerpinch, you might get a kick out of some of his videos -- e.g. ▶ this video

Reminds me of this wonderful video: ▶ this video , where he builds computation using only IEEE-754 NaN and infinity

Suckerpinch barely ever releases a video, but when he does they are great. NaN gates and FlipFlops are my favorite: ▶ this video You can only get good at mathematics by doing, but if there is a channel that helps you get better at math passively it is probably Michael Penns': link

Why stop at half-precision floats? Why not go all the way to 3-bit floats? And build a hardware accelerator out of them? Tom Murphy has you covered with: the NaN Gate. ▶ this video link

That's a beautiful form of art, somehow. Far away from the only form of art, but it's the kind of art where a) it's very obvious that you have to be extremely proficient in what you are doing (and so the stupid modern art spectator comment "I could have done this" is quelled from its very spark), and b) it's so useless, especially for the amount of effort put in, that it really only exists for itself and to please both creator and spectator. There is one video of his that takes it to an extreme: ▶ this video - That is not only impossibly bonkers on just about every level, it's also so incredibly useless that the result is not even observable.

Here's my favorite video of his, where he reinvents computing from scratch while eschewing inelegant 1s and 0s for elegant floating-point values: ▶ this video

Seconded, thirded, and fourthed. My favorite is "NaN Gates and Flip FLOPS", where he dismisses 0 and 1 as being too ugly to be the foundation of all computation and reinvents computing via the beauty of rational numbers, which is to say, the horror of IEEE754 floating point (along with a working hardware implementation!): ▶ this video

The only reason I know what to expect is because Suckerpinch on YouTube made a video in which he managed to define a logic system using NaN and +∞, and does so by abusing min and max, among other expressions: ▶ this video