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Ramon Llull invented the Lullian Circle: a notional machine for calculating answers to philosophical questions (in this case, to do with Christianity) via logical combinatorics.This idea was taken up by Leibniz centuries later, and is thus one of the founding elements in computing and information science.Slide rules were used by generations of engineers and other mathematically involved professional workers, until the invention of the pocket calculator.Wilhelm Schickard, a German polymath, designed a calculating machine in 1623 which combined a mechanised form of Napier's rods with the world's first mechanical adding machine built into the base.The earliest counting device was probably a form of tally stick. What we now call the Roman abacus was used in Babylonia as early as c. Since then, many other forms of reckoning boards or tables have been invented.
Devices have been used to aid computation for thousands of years, mostly using one-to-one correspondence with fingers.AD 1015); the astronomical analog computers of other medieval Muslim astronomers and engineers; and the astronomical clock tower of Su Song (1094) during the Song dynasty.The castle clock, a hydropowered mechanical astronomical clock invented by Ismail al-Jazari in 1206, was the first programmable analog computer.Several analog computers were constructed in ancient and medieval times to perform astronomical calculations. 1050–771 BC) from ancient China, and the astrolabe and Antikythera mechanism from the Hellenistic world (c. Other early mechanical devices used to perform one or another type of calculations include the planisphere and other mechanical computing devices invented by Abu Rayhan al-Biruni (c.AD 1000); the equatorium and universal latitude-independent astrolabe by Abū Ishāq Ibrāhīm al-Zarqālī (c.