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he human genome is estimated to contain some 3 billion base pairs - so (again, simplifying) 3 billion bits = 0.35 gigabytes - so each cell in our body encodes roughly a third of a gigabytes of information - that’s a pretty high information density, especially considering that the double helix DNA in our cells is a minute proportion of the cell as a whole (and that the process of cell reproduction produces RNA strands which may be present in a cell as well).
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Of course, if you're going to start counting information, most of that is a copy, from cell to cell, minus any random mutations that may occur. And most of that information never gets activated.