Hardware Calculator From Scratch

[21/2/2025] 74 pages out of 97 edited: 76.3%

[19/2/2025] Well, I've finished the integer division and returned to floating-point division. Also, accidentally I've found much more clear answer on some old question (actually, it wasn't the new one and I've answered it long before). So, the most hard part that remains is floating-point division and addition/subtraction and it almost finished. At the end I'll refactor conversion, keyboard handling and so on, but there is almost nothing that needs to be totally edited: just refactor some illustrations, typos and so on.

[13/2/2025] Still had been rewriting some old reasoning about integer division which will extrapolate on floating-point division. It's hard to return and rethink the same thing again and again, the brain just refuses to catch up.

[06/2/2025] Who am I kiddin? Let's have this sh*t done)

[04/2/2025] Taking a break until February 12.

[02/2/2025] 67 pages out of 96 edited: 69.8% [NOTE: I'm not dead. Just rewriting some old proofs of the sufficiency of expanding the binary grid to the left by one digit when we perform non-restoring integer division with immovable divisor which will automatically correct for floating-point case. The old version was vague and verbose. Moreover, I've found and corrected some errors in text along the way: the idea behind was correct but I wrote total mess in text somehow. It's all about the manual, the code of the calculator works fine.]

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NOTE: Wrote proofs (not quite rigorous, but demonstrative enough) for some counter-intuitive (well, at least for me) moments - should move faster from now. [UPD 01/10/2025: Faster... hah].

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Have just finished drawing schematic and wrote a couple of words about hardware. Nothing special, but definitely better than it was.

Before:

After:

So, the tutorial is technically finished.

Well, it's not quite a tutorial, I'd say it's a description of internal functioning of the calculator and theory that stands behind all numerical magic. Anyway, it can be useful for anyone who will want to understand floating point and implement such a calculator from scratch. I wish I had such a thing in the beginning of this journey.

Now I'm gonna proofread it and edit, redraw some illustrations, numerate all formulas, etc.

And at the end I'll translate it in English, like it was with code comments.

I guess, by the end of this year century everything will be done.

I've just finished translation of all comments in firmware code.

Now all three repos in English now and accessible for everyone to tinker:

The whole calculator firmware

The floating-point emulation library

The library for LCD interfacing

The only remaining task now is a small pdf doc with holistic overview of theoretical foundations behind this project. About 40% is already done.

The library for interfacing with LCD1602 display is now completely translated in English.

The last thing to translate is the actual firmware for the calculator which will take more time than LCD library but much more less than Float32AVR.

The floating-point emulation library Float32AVR is now completely translated in English: comments, diagrams, etc.

Next goal is to translate the library for interfacing with LCD1602 and the actual firmware for the calculator.