A History of Algorithms: From the Pebble to the Microchip by Jean-Luc Chabert, C. Weeks, Evelyne Barbin, J. Borowczyk, M.

By Jean-Luc Chabert, C. Weeks, Evelyne Barbin, J. Borowczyk, M. Guillemot, A. Michel-Pajus, A. Djebbar, Jean-Claude Martzloff

Amazon hyperlink: http://www.amazon.com/History-Algorithms-From-Pebble-Microchip/dp/3540633693

The improvement of computing has reawakened curiosity in algorithms. usually ignored by means of historians and smooth scientists, algorithmic techniques were instrumental within the improvement of basic principles: perform resulted in idea simply up to the wrong way around. the aim of this publication is to provide a old history to modern algorithmic perform.

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J Proposition III - to multiply decimal numbers Given the number 32@5

He remarked that the rods involved a complication sirice it was always necessary to take account of the carrying digit when reading off a product. Might it be possible, he wondered, to be able to read off an answer directly without any need for additional calculations? Some years later, a French railway engineer, Henri Genaille, produced some rods of his own invention that allowed the multiplication of any number by a single digit to be read off with ease. This time, the result was to be found by following arrows, carefully marked on the rods (Figure 6).

Then we multiply 2 x 3 = 6 and put the difference 8 - 6 2 above the 8. The digits that have been used are struck through (fig. 2). The same is now done for 7: we multiply 2 x 7 = 14 and put the difference 26 - 14 = 12 above the 26 (fig. 3). At the next step, we replace the 37 under the 8643, this time shifting one place to the right, and we start all over again (fig. 4). At the final stage, the 37 is placed beneath the 43 and we obtain the quotient 233 and the remainder 22 (which are the remaining digits which have not been struck through) (fig.

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