Converts numbers in arabic notation to roman numerals.

Does also find the minimal roman form.



 

    ROMAN v1.0 is Freeware

    Commercial Distribution Restricted                 

    Copyright (C) 1995 by Mikael Bonnier, Lund, Sweden.

 

 

1. System and Memory Requirements

This program is for the TI-82. It consists of one main program and

five subs that uses 736 bytes. It requires additionally 180 bytes for

data to run.

 

ROMAN uses or alters these variables:

Real:   A,C,D,E,F,J,L,M,N,S,V,W

 

 

2. Installation

If you have TI-GRAPH LINK UUDecode this file, and send the resulting

ROMAN.82G group file to the calculator. If you don't have a link you

will have to enter the ASCII82P listings below.

 

 

3. User Instructions

Example:

prgmROMAN [ENTER]

ROMAN - (C) 1995

 MIKAEL BONNIER

  LUND, SWEDEN

ArabIc=?1997 [ENTER]

ArabIc:

1997

ROMAN 'LEGAL':

MCMXCVII

ROMAN MINIMAL:

MVMII

            Done 

 

The roman symbols are:                _       _       _

I=1, V=5, X=10, L=50, C=100, D=500, M=I=1000, V=5000, X=10000, etc.

The symbols with one line above is worth 1000 times more than the

ordinary. I have generalized this so that 5 million is written as a

V with two lines above, the old romans didn't do this. Since this is 

difficult to represent in text mode the program writes an equal sign

before the symbol to signify one line above it, and two for two

lines, etc. This is inspired from LaTeX, a mathematical text 

processing program.

 

Example:

ArabIc:

500000

ROMAN 'LEGAL':

=D

ROMAN MINIMAL:

=D

 

A smaller symbol before a larger is subtracted from it and a same

value or smaller after a larger symbol is added to it. To find

the value of a roman numeral you may search from left for the

largest symbol and then subtract the roman numeral that consists

of the symbols to its left and add the roman numeral that consists

of the symbols to its right. You find the sub roman numerals in the

same way, until the sub roman numerals consists of zero symbols, that

roman numeral has the value zero. This is a recursive algorithm.

 

In the roman numerals that this program produces it is assumed that a

sub roman numeral that is to be subtracted may only consist of a

single symbol.

 

The 'legal' roman numerals are the form that usually appears as the

production year of movies.

Example: 1995 = 1000 + 900 + 90 + 5 = M CM XC V.

This can be written shorter as MVM = 1000 + (-5 + 1000).

This short form wasn't used by the old romans.

 

This program does not handle numbers larger than the integer

precision of the calculator.

 

 

4. Anecdotes

The V in five comes from halving X (ten) horizontally, an upside down

V was also used as a symbol for five (in the early days). D (500)

comes from halving an older symbol for a thousand vertically namely

O. I suppose M comes from 'Mille' (as in millenium = 1000 years).

 

  

 

Suggestions, improvements, bug, and bad-English-in-doc reports

are always welcome to:

                 Mikael Bonnier

                 Osten Undens gata 88

                 S-227 62  LUND

                 SWEDEN

                             

Or use my internet address:

                 mikaelb@df.lth.se