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== The Almighty Dwarven Calculator ==
 
== The Almighty Dwarven Calculator ==
  
What can you do with 75,368 mechanisms?<br />
+
What can you do with 75,368 mechanisms and 40,000 power?<br />
 
I have made a calculator.
 
I have made a calculator.
 
It can add, subtract, divide and multiply.
 
It can add, subtract, divide and multiply.
Line 10: Line 10:
 
== How to use ==
 
== How to use ==
  
The in control house (shown above calculating 7x191) there 6 groups of leavers each group corresponds to an input number, and each leaver within a group corresponds to a number (in the same pattern as on a cell phone). Once the leavers that represent the desired numbers have been pulled (only one leaver per group or things will go wrong).<br />
+
The in control house (shown above calculating 7x191) there 6 groups of leavers each group corresponds to an input number, and each lever within a group corresponds to a number (in the same pattern as on a cell phone). Once the leavers that represent the desired numbers have been pulled (only one lever per group or things will go wrong).<br />
  
Then select the desired function (+ * - /) by pulling the indicated leaver. The selected function will be displayed.<br />
+
Then select the desired function (+ * - /) by pulling the indicated lever. The selected function will be displayed.<br />
  
Then select pull the equals leaver, go and make a cup of tea, some soup perhaps compose a sonnet (it takes a long time even for simple equations).<br />
+
Then select pull the equals lever, go and make a cup of tea, some soup perhaps compose a sonnet (it takes a long time even for simple equations).<br />
  
 
Your answer will then be displayed in glorious digital numbers.
 
Your answer will then be displayed in glorious digital numbers.
 +
 +
== How it works ==
 +
 +
== Addition (binary)==
 +
 +
In essence what you need to do to make any computer work is to brake the job down to its simplest possible functions. To that end all actual computation is don in binary. <br />
 +
This is the first 2 cells from the addition engine.<br />
 +
[[File:Addition cell 1&2.GIF]]
 +
<br />
 +
Each cell is designed to add a two or three binary digits together. The first cell adds 2 digits (that is one from each of the input numbers). When you add 2 binary digits together there are 4 possible ways for them to combine and 3 possible outcomes (0+0=0 0+1=1 1+0=1 1+1=10), however an outcome of 0 does not change the answer so you do not need to build it (In the addition engine I did build it but i later disconnected it). So each input gets a line of mechanisms, A line and B line, since there are 3 important ways of combining the inputs each line has 3 mechanisms. levers are connected to some mechanisms so they can be 'flipped' and thereby each row made to represent one possible outcome. A screw-pump is then connected to each outcome which triggers a pressure-plate which triggers either the outcome or the C line of the next cell.
 +
<br /> The second and all subsequent cells need to add a C line that is triggered when the answer of the previous cell is 10 or 11. And so there becomes 8 (7 important) ways for the digits to combine and 4 possible outcomes (3 important). But an all other ways cell 2-10 is the same as cell 1.<br />
 +
[[File:Addition cell b 1&2.GIF]]<br />
 +
And the whole addition engine looks like this<br />
 +
[[File:Addition.PNG]]

Revision as of 12:45, 12 April 2010

The Almighty Dwarven Calculator

What can you do with 75,368 mechanisms and 40,000 power?
I have made a calculator. It can add, subtract, divide and multiply. It can take inputs of up to 999 and give answers of up to 999999 and 3 decimal places.

7x191.PNG

How to use

The in control house (shown above calculating 7x191) there 6 groups of leavers each group corresponds to an input number, and each lever within a group corresponds to a number (in the same pattern as on a cell phone). Once the leavers that represent the desired numbers have been pulled (only one lever per group or things will go wrong).

Then select the desired function (+ * - /) by pulling the indicated lever. The selected function will be displayed.

Then select pull the equals lever, go and make a cup of tea, some soup perhaps compose a sonnet (it takes a long time even for simple equations).

Your answer will then be displayed in glorious digital numbers.

How it works

Addition (binary)

In essence what you need to do to make any computer work is to brake the job down to its simplest possible functions. To that end all actual computation is don in binary.
This is the first 2 cells from the addition engine.
Addition cell 1&2.GIF
Each cell is designed to add a two or three binary digits together. The first cell adds 2 digits (that is one from each of the input numbers). When you add 2 binary digits together there are 4 possible ways for them to combine and 3 possible outcomes (0+0=0 0+1=1 1+0=1 1+1=10), however an outcome of 0 does not change the answer so you do not need to build it (In the addition engine I did build it but i later disconnected it). So each input gets a line of mechanisms, A line and B line, since there are 3 important ways of combining the inputs each line has 3 mechanisms. levers are connected to some mechanisms so they can be 'flipped' and thereby each row made to represent one possible outcome. A screw-pump is then connected to each outcome which triggers a pressure-plate which triggers either the outcome or the C line of the next cell.
The second and all subsequent cells need to add a C line that is triggered when the answer of the previous cell is 10 or 11. And so there becomes 8 (7 important) ways for the digits to combine and 4 possible outcomes (3 important). But an all other ways cell 2-10 is the same as cell 1.
Addition cell b 1&2.GIF
And the whole addition engine looks like this
Addition.PNG