How did Pascal's calculator mechanism work?

Invented by Blaise Pascal in 1642, the Pascaline was the first operational mechanical calculator featuring a successful tens-carry mechanism. It was operated using a stylus to perform additions and subtractions, while multiplication and division were achieved through repeated operations. Mechanical devices like this preceded modern digital computers and electronic calculators.

What we know

• Pascal's calculator was designed to add and subtract two numbers, and to perform multiplication and division through repeated addition or subtraction. [2]
• Mechanical calculators are mechanical devices used to perform the basic operations of arithmetic automatically, serving as a precursor to modern digital computers. [3]
• The carry mechanism successfully carried 1 to the next dial when a dial changed from 9 to 0, making each digit independent of the others. [2]
• Pascal adapted a lantern gear from turret clocks and water wheels to allow the device to resist operator input strength with very little added friction. [2]

Where to go next

• what caused itWhy did Blaise Pascal invent the calculator?
• what followedHow did the Leibniz wheel improve upon earlier calculators?
• how it workedWhat was the role of the lantern gear in the Pascaline?
• whereWhere can surviving Pascal calculators be seen today?
• compared withHow does the stepped reckoner compare to Pascal's machine?
• an unexpected connectionHow did a tax supervisor inspire a mathematical breakthrough?The laborious arithmetical calculations required by Pascal's father in his tax work directly led to the invention of the first operational mechanical calculator.

Sources

• [1]Pascal's calculator (Wikidata Q873501) · CC0 1.0
• [2]Pascaline · CC BY-SA 4.0
• [3]Mechanical calculator · CC BY-SA 4.0
• [4]Stepped reckoner · CC BY-SA 4.0
• [5]Calculator · CC BY-SA 4.0