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From: llizard <llizard@NOPOLLUTIONwildmail.com>
Newsgroups: alt.ascii-art
Subject: Re: soroban (Japanese abacus)
Date: Sun, 17 Nov 2002 09:19:46 -0500
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 <e316ra.r45.ln@adfpc.amp.uni-hannover.de>
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In article <e316ra.r45.ln@adfpc.amp.uni-hannover.de>, Andreas Freise
<adf@mpq.mpg.de> wrote:

>On 16 Nov 2002 llizard wrote:
>> I am just relearning how to add and subtract on one of these fantastic
>> devices:
[snip of soroban]
>So, how _does_ it work then?

Lesson 2 (from llizard's bbackwards sschool of soroban)

Example with subtracting 128 from 237 

traditional method:

1. starting in the ones column:  7-8=9 (take one from the tens column...) 

          -|
        _  _  __   
         ) _)  / 
        /_ _) /
          _   _
   ___  |  ) (_)
        | /_ (_)
      ___________
              _ 
             (_)
              / 

2. going to the tens column:  3-1-2=0
          -|
        _  _  __   
         ) _)  / 
        /_ _) /
          _   _
   ___  |  ) (_)
        | /_ (_)
      ___________
           _  _ 
          | |(_)
          |_| / 


3. going to the hundreds column:  2-1=1
          -|
        _  _  __   
         ) _)  / 
        /_ _) /
          _   _
   ___  |  ) (_)
        | /_ (_)
      ___________
           _  _ 
        | | |(_)
        | |_| / 



Example with subtracting 128 from 237

1. Put 237 onto the soroban, then starting with the hundreds column: 2-1=1

   1a
   _____________________________________
    |o o o o o o o o o o o o o o o | ||
    ||_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_o|
    || | | | | | | | | | | | | | o o o|
    |o o o o o o o o o o o o o o o o o|
    |o o o o o o o o o o o o o o | o ||
    |o o o o o o o o o o o o o o o | o|
ejm_|o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o|_

   1b
   _____________________________________
    |o o o o o o o o o o o o o o o | ||
    ||_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_o|
    || | | | | | | | | | | | | | o o o|
    |o o o o o o o o o o o o o o | o o|
    |o o o o o o o o o o o o o o o o ||
    |o o o o o o o o o o o o o o o | o|
ejm_|o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o|_

2. Moving to the tens column: 3-2=1

   _____________________________________
    |o o o o o o o o o o o o o o o | ||
    ||_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_o|
    || | | | | | | | | | | | | | o o o|
    |o o o o o o o o o o o o o o | | o|
    |o o o o o o o o o o o o o o o o ||
    |o o o o o o o o o o o o o o o o o|
ejm_|o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o|_

3. Moving to the ones column: 7-8 oh oh, can't do that, so subtract 10 and
add 2

   3a
   _____________________________________
    |o o o o o o o o o o o o o o o | ||
    ||_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_o|
    || | | | | | | | | | | | | | o | o|
    |o o o o o o o o o o o o o o | o o|
    |o o o o o o o o o o o o o o o o ||
    |o o o o o o o o o o o o o o o o o|
ejm_|o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o|_

   3b
   _____________________________________
    |o o o o o o o o o o o o o o o | ||
    ||_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_o|
    || | | | | | | | | | | | | | o | o|
    |o o o o o o o o o o o o o o | o o|
    |o o o o o o o o o o o o o o o o o|
    |o o o o o o o o o o o o o o o o o|
ejm_|o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_o_||_


-- 
now that that is clear, shall I move onto finger arithmetic?  >%^7^^^7^^

llizard aka ejm llizard@idirec+.ca
ASCII-art & ASCII-animation
www.crosswinds.net/~llizard/ascii-art/

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