AlphaBot 26

AlphaBot ~ Holes ~ Rosetta Stone

Main Entry: AlphaBot System
Function: noun
Description: Alpha-numeric positional notation system
Machine instruction-list: alphabot sourcecode
Author: Dutch Baker
Date: 2K / 2K2^3

Full description

  1. a word notation system by which each word is expressed in base-26+1(*)
    by reading each letter considering its value and position and letting
    each position-value be an increasing power of 26+1(*)
  2. a system of measurement or language in which the basic units increase
    by powers of 26+1(*)
  3. a {10,27} base conversion utillity to display words as decimal numbers

    4. (*) The latin phonetic alphabet contains 26 elements, A to Z.
        We add the Ø (zero or "" empty) element, a 27th element which enables us
        to make a positional base-27 character system ranging from Ø to 26. 


The lookuptable used:

	 A   B   C   D   E   F   G   H   I   J   K   L   M
	 1   2   3   4   5   6   7   8   9  10  11  12  13

	 N   O   P   Q   R   S   T   U   V   W   X   Y   Z 
	14  15  16  17  18  19  20  21  22  23  24  25  26, 

	and the 27th element "" (Ø) 


The incrementing digits are factors in a base-26+1 positional system.
Starting from the right in each word,
match each charachter of the word to each corresponding base-10 number in the lookuptable.

For example, b-e-t as in the first three characters of the word alphabet,
reading the word from the right, looking at the word like it is a number in base 26+1:  

20* 27^0;   because t is in 1st position it gets factor ^0  ... as 't' in bet 
5 * 27^1;   e is in 2nd position so here it gets factor ^1  ...    'e' in bet 
2 * 27^2;   b is in 3rd position, so it gets factor ^2      ...    'b' in bet  





Examples of conversion of words into the 10-digit (numeric) notation, using the lookuptable:



"AND"      = 1111:            A*27^2 +  N*27   +  D 
                              =  
                              1*729  + 14*27   +  4  
 
                              =         729  A
                                        378  N
                                          4  D
                                ____________ + 
so "AND"   =                           1111  





"THE"      = 14801:           T*27^2 +  H*27   +  E 
                              = 
                              20*729 +  8*27   +  5  
 
                              =       14580  T
                                        216  H
                                          5  E
                                ____________ + 
so "THE"      =                       14801  





"ALPHABET" = 15343254407   
   
  A*27^7        +  L*27^6      +  P*27^5     + H*27^4   + A*27^3  + B*27^2 + E*27^1 + T*27^0
= 1*27^7        + 12*27^6      + 16*27^5     + 8*27^4   + 1*27^3  + 2*27^2 + 5*27   + 20*1
= 1*10460353203 + 12*387420489 + 16*14348907 + 8*531441 + 1*19683 + 2*729  + 5*27   + 20 

                              = 10460353203  A
                                 4649045868  L
                                  229582512  P
                                    4251528  H
                                      19683  A
                                       1458  B
                                        135  E
                                         20  T
                                ____________ + 
so "ALPHABET" =                 15343254407  
 

..."AND THE ALPHABET" reads: ...1111 14801 15343254407.


Example 2


The same conversion vice versa, take a base-10 number and convert it
into a (more compact) base-27 word, for instance base-10 14801 as follows: 

      14801: Find the largest power-of-27 fitting in 14801, which is 27^2=729,
             ...and see how many of these 729's fit in 14801,
             this gives us a number, which gives us the corresponding character in the lookuptable. 

      14801 = (first letter * 27^2) + rest

                   so the 1st letter is "T" (20 in the lookuptable), 
				   
                      rest is 14801 - 20*729 = 221

        221 = (2nd letter * 27^1) +  rest

                   so the 2nd letter is "H" (8 in the lookuptable),  
				   
                      rest is 221 - 8*27 = 5

              so "E" must be the last letter (rest is 0) of the word.


  and so 14801 = "THE"









The Rosetta Stone example: 14801 7199013322 10502357
 




 







ALPHABOT   XORART     -    Sun Aug 13 18:30:52 GMT 2000 H.MM 2K / 2K2^4