Here a paper can be found about running the "cards" created by Rainer Glaschick based on the program described in Lady Lovelace's Note G on a modified emulator of the Babbage's analytical engine:

https://rclab.de/analyticalengine/lovelace_noteg_paper

And the text by the author of that emulator about the authenticity of the emulator:

https://www.fourmilab.ch/babbage/authentic.html

Note that the sizes of what we would today call "registers" in what we would today call "ALU" were, per 1837 description 40, per 1864 description 50 decimal digits, much bigger than the number of mantissa decimals in common "float" (7) or "double" (15) floating point representations, and the assumption of the engine was to use fixed point decimal arithmetic.