If your replicator needs a literal bitmap for every atom possible in an object. You would need to store 7 bits (maybe future proof it with 8 bits in case we find a lot more elements) for every atom in the object.

Then it's simple multiplication to calculate atoms * 8 bits

Then we need to store the location in 3D Space of each atom. The actual unit of measurement is whatever you want. Then pick a number of bits to hold that number, and multiply again.

I can't help you more than this though unless you can say how many atoms are in an A-10 Warthog and their groupings by element.

And for the gradual decay, just say the spatial measurements aren't exact enough, so eventually it falls apart.

If your replicator needs a literal bitmap for every atom possible in an object. You would need to store 7 bits (maybe future proof it with 8 bits in case we find a lot more elements) for every atom in the object.

Then it's simple multiplication to calculate atoms * 8 bits

Then we need to store the location in 3D Space of each atom. The actual unit of measurement is whatever you want. Then pick a number of bits to hold that number, and multiply again.

I can't help you more than this though unless you can say how many atoms are in an A-10 Warthog and their groupings by element.

And for the gradual decay, just say the spatial measurements aren't exact enough, so eventually it falls apart.

But, if your blueprints are calculated on the fly, then the storage space is very very small by comparison.

Taking your gold bar for example. The computer needs to know how to make a single atom of gold. Then it needs to know how many of them to string together for length, width and height. And done, easy. Calculate the position of every atom based on the desired length, width and height. (This is basically how a PNG image file is compressed)

Scale this up for a more complicated object.