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I have spent some time in attempting to create a taxonomy for small adders. I am currently restricting myself to this subset of calculation mainly from a lack of the kind of knowledge necessary to handle the myriad of three- and four-function machines. Is a taxonomy necessary? I think that the answer is yes. The reason is that there are many machines that appear to be similar that have very different internal mechanisms. These differences tend to show up in the method of carrying from one digit to another, but are not limited to this.
0. Abaci: Are of two forms: tables with lines upon which the position of counters indicates a numerical value, or frames with beads sliding on rods.
0.1 - Counting Tables using Jetons, Counters, etc.
0.2 - Sampam, Saroban and Shotky
1. Column Adders:
Add one column at a time, putting the least significant sum digit at the bottom and the carry at the top of the left column. While column adders can have two or more result digits, you can only add into the rightmost digit, and then generally only with the integers one through nine. There are exceptions to this: the Centigraph only has five keys, and the Sebastian seems to change in units of five.
1.1 - Dial:
1.2 - Chain:
1.3 - Key - Generally Nine Key
1.4 - Band
1.5 - Spiral and Helix
1.6 - Push Down "Pencil"
2. Row Adders:
Add row by row, one row at a time. Must be able to add two or more columns at a time. There is a potential overlap here. For example, a row adder can be used as a column adder, so that all row adders are also column adders. Capacity is the consideration. The Addachine and Hart are somewhat close in design; however, the larger Hart can add two columns at a time, compared to only one for the Addachine.
2.1 - Dial
Usually have three or more dials and corresponding result digits; numbers can be added into any one of the dials
2.1.1 - Dials in a Row
22.214.171.124 - Manual Carry and No Clearing Mechanism
126.96.36.199 - Assisted Manual Carry and No Clearing Mechanism
188.8.131.52 - Hardware Carry Using Gears
184.108.40.206.1 - No Clearing Mechanism, No Subtraction
220.127.116.11.2 - No Clearing Mechanism, With Subtraction
18.104.22.168.3 - With Clearing Mechanism and No Subtraction
22.214.171.124.3 - With Clearing Mechanism and Subtraction
126.96.36.199 - Hardware Carry Using Springs
188.8.131.52.1 - No Clearing Mechanism
184.108.40.206.2 - With Clearing Mechanism
2.1.2 - Concentric Dials
220.127.116.11 - Full Hardware Carry
2.2 - Line
2.2.1 - Rectilinear Lines (both Horizontal and Vertical); Manual Carry
2.2.2 - Vertical Lines
18.104.22.168 - Slides
22.214.171.124.1 - Kummer - Plain
126.96.36.199.2 - Kummer - Double Register Subtraction
188.8.131.52.2 - Kummer - With Clearing
184.108.40.206.3 - Kummer - Shifting Plate Subtraction with Clearing
220.127.116.11.4 - Kummer - Double Panel Subtraction with Clearing
18.104.22.168.5 - Kummer - Hardware Complementary Subtraction
2.2.3 - Chain Input - Full Hardware Carry and Clearing Mechanism
2.2.4 - Bands and Ribbons
2.2.5 - Racks
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Ultima modifica il 10:31, 7. Apr 2019.