Babbage designed 3 machines but built none:
Two copies of Difference Engine II have been built by the London Science Museum, to prove that the machine could be built to 1840's machining tolerances and work (a long debated point). Both work as designed computing correct answers. However the machines have a tendency to break difficult to replace parts, so the museums tend to select simple problems to solve that avoid using known broken parts instead of replacing them.
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