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Username comments on Open Thread, Jun. 8 - Jun. 14, 2015 - Less Wrong Discussion
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As a fermi estimate, the human brain has on the order of 10^11 neurons, each of which has on the order of 10^4 synapses. If we're able to compress the information about each synapse - its location, chemical environment, connections, action potentials, etc. - into a kilobyte (10^3 bytes) (wild guess), this gives us 10^18 bytes for a human brain. Or, about 1 exabyte (1000 petabytes).