```Date: Jul 4, 1994 12:24 PM
Author: Heidi Burgiel
Subject: Marvelous Old Way of Multiplying

A friend of mine just told me a clever historical technique formultiplying that he read about.  It allows one to multiply just bydoubling and halving groups of pebbles.I'll describe the process using numbers.Write down the first and second numbers (integers) in yourmultiplication problem.Successively halve the second number, rounding down each time.Next to the list of halves, put the doubles of the first number.For 9*14 you'll get a table that looks like:9   1418   736   372   1 Now cross out all the rows that have an even number in the rightcolumn.  The sum of the numbers in the left column is the product.18 + 36 + 72 = 9*2 + 9*4 + 9*8 = 9*14I believe the computation was originally performed by doubling andhalving the contents of separate bowls of pebbles, "crossing out" bydiscarding certain bowls of stones, and totaling by pouring all thestones into one bowl.Happy Independence Day!Heidi
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