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Each neuron in the human brain makes ~1000 synapses with other neurons. Simulating one synapse in an neural network requires 4 bytes of memory. A 5 million neuron network requires about 400,000 gigabytes. To simulate the entire human brain would require about 8 million gigabytes.
Of course, there's also the issue of whether it's even possible to accurately model biological self-awareness. For a computer to be truly self aware, it would need to cease merely following instructions and start to make decisions and develop ideas of its own accord.
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