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Never and it is highly unlikely one will ever be made.

Its inventor, Charles Babbage, never completed the plans and was unable to convince anyone to fund its construction (largely because he had frustrated those funding the construction of his earlier difference engine by not completing it when promised then effectively doing what they considered a "bait and switch" when he decided to stop work on the difference engine and offer them what he claimed to be the "better" analytical engine instead).

There is no serious reason to consider building an analytical engine now as it would be painfully slow, be far larger than the largest vacuum tube computer ever built, require dozens of mechanics and machinists to maintain it and keep it running, etc. compared to modern highspeed electronic microprocessor based computers. Also much of the analytical engine would have to be designed from scratch as Babbage's drawings do not cover the complete machine.

Two copies of Babbage's Difference Engine #2 were built in 1991 and 2008 by the London Museum of Science. This machine was much simpler and used fewer parts than Babbage's original Difference Engine #1 (using ideas and designs derived from his work designing the analytical engine) and had an apparently complete set of plans, making it ideal to research the question of if these machines could actually be built and function reliably using the tolerances that machinists in the 1830s were able to do. They succeeded in building both machines and found that they worked very reliably, however it also showed that the machines do not survive transportation well (but this would not have been a problem in the 1800s as they would have been constructed onsite and never moved), also a "minor" change made to make it easier to crank the machine by hand (one that Babbage would not have made himself as he probably designed it that way to limit the torque in the machine) permitted the machine to be overtorqued and breaking several carry arms accidentally.

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Who invented the difference Engine and Analytical engine?

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