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- Pascals_calculator abstract "Pascal's calculator is a the mechanical calculator that Blaise Pascal invented in the early 17th century. Pascal's invention was called the arithmetic machine, Pascal's calculator, and later the Pascaline. Pascal was led to develop a calculator by the laborious arithmetical calculations required by his father's work as supervisor of taxes in Rouen. He designed the machine to add and subtract two numbers directly and to perform multiplication and division through repeated addition or subtraction. Pascal designed the machine in 1642. After 50 prototypes, Pascal presented his first machine to the public in 1645. He dedicated it to Pierre Séguier, then chancellor of France. Pascal built around twenty more machines during the next decade, many of which improved on his original design. In 1649, King Louis XIV of France gave Pascal a royal privilege (similar to a patent), which gave him the exclusivity of the design and manufacturing of calculating machines in France.Nine Pascal calculators, including the first surviving mechanical calculator to from the 17th century. See Competing designs below. Most of them are on display in European museums.Pascal's calculator was especially successful in it its carry mechanism, which adds 1 to 9 on one dial to replace the 9 with a 0 and carries 1 to the next dial. His innovation made each digit independent of the state of the others, which enabled multiple carries to rapidly cascade from one digit to another regardless of the machine's capacity. Pascal was also the first to shrink and adapt for his purpose a lantern gear, used in turret clocks and water wheels, which could resist the strength of any operator input with very little added friction. See Inner mechanism below.Pascal was also influential since he sought to commercialise his machine (albeit with only limited success). Whilst other forms of calculation (using the abacus, calculi, counting boards and other means of ready reckoning) were in widespread use, Pascal's machine symbolised a step forward compatible with the increasing interest in using machines to displace tedious work. In this sense his invention was an important step in the development of mechanical calculators first in Europe and then all over the world. Development which culminated, three centuries later, in the invention of the microprocessor developed for a Busicom calculator in 1971 ; microprocessors are now at the heart of all computers and embedded systems.Other later developments often reflected aspects of the Pascaline, either because they were actually inspired by it or at least shaped by the same historical influences which led Pascal to develop his invention. Gottfried Leibniz invented his Leibniz wheels after 1671 after trying to add an automatic multiplication feature to the Pascaline. In 1820, Thomas de Colmar designed his arithmometer which, whilst it is not at all clear he ever saw Leibniz's device, either re-invented or utilised Leibniz's invention of the step drum. The arithmometer was the first mechanical calculator strong enough and reliable enough to be used daily in an office environment.".
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