mediation and duplation

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Presentation transcript:

mediation and duplation an algorithm for multiplication Pamela Leutwyler

52 X 61

52 X 61 half of 52 26 122 double 61

52 X 61 26 122 13 244 half of 26 double 122

52 X 61 26 122 13 244 6 488 ignore the remainder half of 13 double 244

52 X 61 26 122 13 244 6 488 half of 6 3 976 double 488

52 X 61 26 122 13 244 6 488 3 976 half of 3 1 1952 double 976

52 X 61 26 122 13 244 6 488 3 976 1 1952

even 52 X 61 26 122 odd 13 244 6 488 3 976 1 1952

even 52 X 61 26 122 odd 13 244 6 488 3 976 1 1952

even 52 X 61 26 122 odd 13 244 6 488 3 976 1 1952 3172 ADD +

even 52 X 61 26 122 odd 13 244 6 488 3 976 1 1952 3172 ADD + 61 x52 122 305 3172