## Successive Mulitiplication Simulation

## written by Teresa Carrigan

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## WHAT IS IT?

This model demonstrates the successive multiplication method of converting a decimal fraction to another base. You may choose any base in the range of two to sixteen.

## HOW IT WORKS

Multiply the decimal fraction by the base to which you are converting. The integer part of the product will be the first digit after the radix point when we are finished. Now multiply the new fraction by the base, again storing the integer part, even if it is zero. Continue until the product is zero or you have enough digits after the radix point. This model assumes seven digits after the radix point is enough. If the base is larger than 10, then some integer parts will be larger than nine; they will have to be converted to their equivalent single digit character.

HomeApplets on this website were written by Teresa Carrigan in 2004, for use in computer science courses at Blackburn College, with the exception of the Fireworks applet. The applets made with NetLogo require Java 1.4.1 or higher to run. The applets made with NetBeans require Java 1.4.2 or higher to run. Applets might not run on Windows 95 or Mac OS 8 or 9. You may obtain the latest Java plugin from Sun's Java site.