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Les chiffres romain bien que peut efficace sont très utilisés encore aujourd'hui pour numéroter des annexes, suite de films et des pages de prélude.
Voici leur représentation classique:
| I |
1 |
1 |
1 |
| II |
2 |
2 |
2 |
| III |
3 |
3 |
3 |
| IV |
4 |
4 |
4 |
| V |
5 |
5 |
5 |
| VI |
6 |
6 |
6 |
| VII |
7 |
7 |
7 |
| VIII |
8 |
10 |
8 |
| IX |
9 |
11 |
9 |
| X |
10 |
12 |
A |
| XI |
11 |
13 |
B |
| XII |
12 |
14 |
C |
| XIII |
13 |
15 |
D |
| XIV |
14 |
16 |
E |
| XV |
15 |
17 |
F |
| ... |
... |
... |
... |
Toutefois, il est a noter que les chiffres romain ne dépasse que de très peu les milliers en terme de numérotation.
Pour pouvoir générer automatiquent les nombres à partir de l'équivalence numérique, vous trouverez la réponse que vous souhaitez, à l'aide du code source Modula-2 suivant:
MODULE romain;
FROM InOut IMPORT WriteString, WriteLn;
FROM SWholeIO IMPORT WriteInt;
FROM Strings IMPORT Concat;
TYPE
STRING = ARRAY[0..255] OF CHAR;
PROCEDURE NumberToRomain(X:INTEGER):STRING;
VAR
S:STRING;
BEGIN
S := "";
CASE (X MOD 1000) DIV 100 OF
9: Concat(S,"CM",S)
| 8: Concat(S,"DCCC",S)
| 7: Concat(S,"DCC",S)
| 6: Concat(S,"DC",S)
| 5: Concat(S,"D",S)
| 4: Concat(S,"CD",S)
| 3: Concat(S,"CCC",S)
| 2: Concat(S,"CC",S)
| 1: Concat(S,"C",S)
ELSE ;
END;
CASE (X MOD 100) DIV 10 OF
9: Concat(S,"XC",S)
| 8: Concat(S,"LXXX",S)
| 7: Concat(S,"LXX",S)
| 6: Concat(S,"LX",S)
| 5: Concat(S,"L",S)
| 4: Concat(S,"XL",S)
| 3: Concat(S,"XXX",S)
| 2: Concat(S,"XX",S)
| 1: Concat(S,"X",S)
ELSE ;
END;
CASE X MOD 10 OF
9: Concat(S,"IX",S)
| 8: Concat(S,"VIII",S)
| 7: Concat(S,"VII",S)
| 6: Concat(S,"VI",S)
| 5: Concat(S,"V",S)
| 4: Concat(S,"IV",S)
| 3: Concat(S,"III",S)
| 2: Concat(S,"II",S)
| 1: Concat(S,"I",S)
ELSE ;
END;
RETURN S;
END NumberToRomain;
VAR
I:INTEGER;
BEGIN
FOR I:=1 TO 100 DO
WriteInt(I,0);
WriteString(" = ");
WriteString(NumberToRomain(I));
WriteLn;
END
END romain.
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on obtiendra le résultat suivant:
1 = I
2 = II
3 = III
4 = IV
5 = V
6 = VI
7 = VII
8 = VIII
9 = IX
10 = X
11 = XI
12 = XII
13 = XIII
14 = XIV
15 = XV
16 = XVI
17 = XVII
18 = XVIII
19 = XIX
20 = XX
21 = XXI
22 = XXII
23 = XXIII
24 = XXIV
25 = XXV
26 = XXVI
27 = XXVII
28 = XXVIII
29 = XXIX
30 = XXX
31 = XXXI
32 = XXXII
33 = XXXIII
34 = XXXIV
35 = XXXV
36 = XXXVI
37 = XXXVII
38 = XXXVIII
39 = XXXIX
40 = XL
41 = XLI
42 = XLII
43 = XLIII
44 = XLIV
45 = XLV
46 = XLVI
47 = XLVII
48 = XLVIII
49 = XLIX
50 = L
51 = LI
52 = LII
53 = LIII
54 = LIV
55 = LV
56 = LVI
57 = LVII
58 = LVIII
59 = LIX
60 = LX
61 = LXI
62 = LXII
63 = LXIII
64 = LXIV
65 = LXV
66 = LXVI
67 = LXVII
68 = LXVIII
69 = LXIX
70 = LXX
71 = LXXI
72 = LXXII
73 = LXXIII
74 = LXXIV
75 = LXXV
76 = LXXVI
77 = LXXVII
78 = LXXVIII
79 = LXXIX
80 = LXXX
81 = LXXXI
82 = LXXXII
83 = LXXXIII
84 = LXXXIV
85 = LXXXV
86 = LXXXVI
87 = LXXXVII
88 = LXXXVIII
89 = LXXXIX
90 = XC
91 = XCI
92 = XCII
93 = XCIII
94 = XCIV
95 = XCV
96 = XCVI
97 = XCVII
98 = XCVIII
99 = XCIX
100 = C
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