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The Weight of the Internet Will Shock You
(www.wired.com)
This is a most excellent place for technology news and articles.
You literally said "960,947 grams"
That's ~961kg; 39kg short of one metric ton.
...of DNA
A byte has to be weighed against something equivalent. DNA is a fantastic constant representation of physical data.
https://youtu.be/-fC2oke5MFg