This entertaining video says the entire internet weighs as much as a strawberry. That tally includes the actual energy required to keep the internet humming along. What about just the information?
Information in the online world is all stored in binary code, the strings 0's and 1's that represent all of our data. This data exists because electrons dash through transistor gates on circuit boards, writing the code as they do so, whenever we upload files, download photos or click a button online. Each electron does have a mass but its minuscule.
When Eric Schmidt was CEO of Google, he estimated the information on the internet totals about 5 million terabytes. Because we know the mass of electrons, we can calculate that the actual information every single picture, video, email, website etc. collectively weighs 0.2 millionths of an ounce. That's about the mass of the smallest possible grain of sand.
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