Code Of Divergence5
citizen's public domain computer system
23 ~ 32
DRAFT
28 ~ 35
256 ~ 243 -> +/-127 ~ +/-121
Introduction
Nowadays computer are designed using binary logic, but ternary logic is
investigated as an alternative since long time ago in the history of
computer science.
Our world is made of approximations. Every human being are nearly the same
but not fully the same. In this document we try to find
common features of binary and ternary logic to build
an approximation of the best hybrid computer system.
Numeral system
Table of power of 2 and 3 with their maximal balanced signed value:
power 0 1 2 3 4 5 6 7 8 9 10 11 12 13
base2 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192
+/-b2 0 0 1 3 7 15 31 63 127 255 511 1023 2047 4095
base3 1 3 9 27 81 243 729 2187 6561 19683 59049
+/-b3 0 1 4 13 40 121 364 1093 3280 9841 29524
A
trit
is the basic unit of ternary logic, it can take the value
of +1, 0 or -1.
Three balanced trits (a tribble) encoding :
power 2 1 0
base3 9 3 1
-13 - - -
-12 - - 0
-11 - - +
-10 - 0 -
-9 - 0 0
-8 - 0 +
-7 - + -
-6 - + 0
-5 - + +
-4 0 - -
-3 0 - 0
-2 0 - +
-1 0 0 -
0 0 0 0
1 0 0 +
2 0 + -
3 0 + 0
4 0 + +
5 + - -
6 + - 0
7 + - +
8 + 0 -
9 + 0 0
10 + 0 +
11 + + -
12 + + 0
13 + + +
CPU
ADD
SUB
SHIFT
CONS
ANY
XOR
LD
ST
JMP
BEQZ
BNEZ
BLTZ
BGTZ
BLEZ
BGEZ
Instruction set details
Pseudocode operation description is in C89 language.
A
is the accumulator.
PC
is the program counter.
bus
is the source of data.
ADD - ADD
trit 07 03 02 00
---------------------------------
| mode | opcode |
---------------------------------
-- --
ADD
SUB
LD
ST
LDI
SHFT
JMP
BEQ
BNE
BGT
BLT
BGE
BLE
NOP
XOR
ANY
CONS
Format:
ADD A, A, bus
Description:
The contents of register
Rsrc
and the contents of general
register
Rval
or the immediate value are added to form a result.
The result is placed into register
Rdest
.
Operation:
T:
Binary Coded Ternary
We encode a single
trit
as two bits in binary.
- = 10
0 = 00
+ = 01
MSCII - Morse Standard Code for Information Interchange
long = - (10) -
short = + (01) .
pause = 0 (00)
-.-.-- '!'
.-..-. '"'
...-..- '$'
.--.- '%'
.-... '&'
.----. '''
-.--. '('
-.--.- ')'
--..- '*'
.-.-. '+'
--..-- ','
-....- '-'
.-.-.- '.'
-..-. '/'
----- '0'
.---- '1'
..--- '2'
...-- '3'
....- '4'
..... '5'
-.... '6'
--... '7'
---.. '8'
----. '9'
---... ':'
-.-.-. ';'
---- '<'
-...- '='
---. '>'
..--.. '?'
.--.-. '@'
.-.- '['
...-. '\'
.-..- ']'
...... '^'
..--.- '_'
.- 'a'
-... 'b'
-.-. 'c'
-.. 'd'
. 'e'
..-. 'f'
--. 'g'
.... 'h'
.. 'i'
.--- 'j'
-.- 'k'
.-.. 'l'
-- 'm'
-. 'n'
--- 'o'
.--. 'p'
--.- 'q'
.-. 'r'
... 's'
- 't'
..- 'u'
...- 'v'
.-- 'w'
-..- 'x'
-.-- 'y'
--.. 'z'
..-- '{'
...-.. '|'
..--. '}'
....... '~'
Conclusion
This paper presented the design of a "new" computer.
References
public domain (⊄) MMXXI August 8 - MMXXIV July 24 by JML