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The main difference is that the ancient computers were people and, brilliant as the human brain is, it is fallible; it makes mistakes. It is also extremely slow (although, at the time, there was no faster method of processing data). Modern data processors are machines and machines don't make mistakes, provided the machines are programmed correctly and the data is input correctly. They are also capable of performing highly repetitive tasks extremely quickly, capable of processing vast amounts of data in a fraction of the time it would take a human.

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Q: What are the differences between ancient method and modern method of data processing?
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