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Have you been reading Lem? - In the real world, the bytes themselves don't weigh anything, but some mechanism must always be provided to actually store the data, and this mechanism has some weight (whether there is useful data stored on it, or not).

-Edit: The electrons actually weight, but their weight is very small.

"One electron weighs 2 * 10^-30 pound" or 9 * 10^-31 kilogram.

So since one bit is about 40'000 electrons and byte is 40'000 * 8 electrons, the final weight:

If all the information is presented as 11111111: 40'000 * 8 * 9 * 10^-31 (kilogram) = 2.88 × 10^-25 kilogram;

And more probably if the information is 11110000: 40'000 * 4 * 9 * 10^-31 (kilogram) = 1.44 × 10^-25 kilogram.

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