I'll assume you mean TI-83+, as the TI-83 cannot archive programs. On the TI-83+, archived means that a program, list, equation, picture, or other item is stored in the calculator's Flash memory instead of its RAM. This can be used so that the item does not get erased when the RAM is cleared, or to reclaim free RAM for other programs and files. However, archived items cannot be executed or modified, so they must be unarchived first.
More calculator assistance is available at the related link "Cemetech" below.
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