The structural permutation method (the “number” synthesis) of linkages is used to produce a collection of linkage forms with mobility 4. The steps of the procedure are carefully explained in detail; Franke’s notation is used. From the collection, a few promising forms are selected for dimensional sizing, so that the mechanism be capable of adding any of the numbers 1, 2, 4, and 8 to obtain a sum N with 0 ≤ N ≤ 15. The study provides an example of this design procedure.

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