Early Mechanical Computers Flashcards

1
Q

Who were some of the people behind the early mechanical computers and when did they live?

A
Wilhelm Schickard (1592 – 1635)
Blaise Pascal (1623 – 1662)
Gottfried Leibniz (1646 – 1716)
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2
Q

How did these machines look and what was their general functioning like?

A

kinda looked like giant boards with cogs and memory displays to show current numbers. wheel mechanism representing each digit would get turned clockwise or counterclockwise for addition and subtraction respectively

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3
Q

What was the one major challenge faced in the design of all the early calculating machines (Schickard – Grillet)?

A

Propagating the carry

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4
Q

How were Napier’s bones employed in William Schickard’s calculator?

A

aeg

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5
Q

How did carries get propagated from one digit to another in William Schickard’s calculator?

A

result of additions to a previous common passed in next column using single toothed gear which after passing 0 (10 toothed gears)would shift the next gear forwards (addition) or backwards (subtraction)

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6
Q

What was the limit on the carry and how was it dealt within William Schickard’s calculator?

A

age

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7
Q

What was the eventual fate of Schickard’s calculators?

A
  • one of them was given to kepler
  • unknown what happened to schickard’s copy
    – It was believed that Schickard’s family was wiped out in a plague and the was unceremoniously disposed of
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8
Q

Who invented the first true adding machine?

A

William Schickard

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9
Q

What are events from Pascal’s early child hood background, the events that lead up to the design and eventual development of his Pascaline and the end of his life?

A
  • Born in Southern (Clermont) France
  • Home schooled’ in the basics of reading and writing by his father Etienne Pascal.
  • Family was tax collectors so the motivation for the pascaline was to automate the process
  • life changing dream in 1650
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10
Q

How is the Pascaline is operated in order to perform an operation and what operations were possible?

A

output windows and input dials divided into 10 spokes. place stylus in-between spokes and rotate clockwise to input a digit. entering multiple numbers consecutively causes there sum to show.

  • use 9’s complement for subtraction

After addition values must be cleared. this is done by setting all accumulators to 9 and then incrementing lowest digit used in previous calculation

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11
Q

How is a carry is propagated between digits?

A

falling weight mechanism that increments the next cog in line. carry pins lift fork attached to weight progressively higher as accumulator approaches 9 and

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12
Q

What was the eventual fate of Pascal and his machines?

A
  • Several machines were produced but sales weren’t profitable
  • Few survive to today.
  • They were quite delicate
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13
Q

How was the stepped drum implemented in Leibniz’s calculating machine?

A

ags

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14
Q

How did the partial carry approach for Morland’s adding (subtracting) machine work?

A

age

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15
Q

What are common attributes of the early mechanical computing devices?

A

– Set up:
• Allows the number to be entered – Selector:
• Determines the type of operation (addition, subtraction) – Registering mechanism:
• Indicates the value of a stored number (result) – Carry Mechanism:
• Determines that any carries are handled properly – Control mechanism:
• Ensures that the gears are properly aligned at the end of each operation (avoid false results and jamming)
– Erasing mechanism:
• Reset the result register between operations

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16
Q

What were the mathematical operations implemented by the early mechanical devices?

A
  • Addition (Schickard, Pascal, Leibniz)
  • Addition and subtraction (Pascal & Leibniz)
  • Multiplication and division (Leibniz) – Repeated additions and subtractions