Liste des fractions de n/193 en base 2.

Il existe 2 périodes de 96 chiffres pour n/193 en base 2.

Pour toutes les fractions de n/193 en base 2, la période de 1/193 revient alors 96 fois (en orange)

1/193=0,000000010101001110010000100101001000111101000000111111101010110001101111011010110111000010111111...

2/193=0,000000101010011100100001001010010001111010000001111111010101100011011110110101101110000101111110...

3/193=0,000000111111101010110001101111011010110111000010111111000000010101001110010000100101001000111101...

4/193=0,000001010100111001000010010100100011110100000011111110101011000110111101101011011100001011111100...

5/193=0,000001101010000111010010111001101100110001000100111110010101111000101101000110010011001110111011...

6/193=0,000001111111010101100011011110110101101110000101111110000000101010011100100001001010010001111010...

7/193=0,000010010100100011110100000011111110101011000110111101101011011100001011111100000001010100111001...

8/193=0,000010101001110010000100101001000111101000000111111101010110001101111011010110111000010111111000...

9/193=0,000010111111000000010101001110010000100101001000111101000000111111101010110001101111011010110111...

10/193=0,000011010100001110100101110011011001100010001001111100101011110001011010001100100110011101110110...

11/193=0,000011101001011100110110011000100010011111001010111100010110100011001001100111011101100000110101...

12/193=0,000011111110101011000110111101101011011100001011111100000001010100111001000010010100100011110100...

13/193=0,000100010011111001010111100010110100011001001100111011101100000110101000011101001011100110110011...

14/193=0,000100101001000111101000000111111101010110001101111011010110111000010111111000000010101001110010...

15/193=0,000100111110010101111000101101000110010011001110111011000001101010000111010010111001101100110001...

16/193=0,000101010011100100001001010010001111010000001111111010101100011011110110101101110000101111110000...

17/193=0,000101101000110010011001110111011000001101010000111010010111001101100110001000100111110010101111...

18/193=0,000101111110000000101010011100100001001010010001111010000001111111010101100011011110110101101110...

19/193=0,000110010011001110111011000001101010000111010010111001101100110001000100111110010101111000101101...

20/193=0,000110101000011101001011100110110011000100010011111001010111100010110100011001001100111011101100...

21/193=0,000110111101101011011100001011111100000001010100111001000010010100100011110100000011111110101011...

22/193=0,000111010010111001101100110001000100111110010101111000101101000110010011001110111011000001101010...

23/193=0,000111101000000111111101010110001101111011010110111000010111111000000010101001110010000100101001...

24/193=0,000111111101010110001101111011010110111000010111111000000010101001110010000100101001000111101000...

25/193=0,001000010010100100011110100000011111110101011000110111101101011011100001011111100000001010100111...

26/193=0,001000100111110010101111000101101000110010011001110111011000001101010000111010010111001101100110...

27/193=0,001000111101000000111111101010110001101111011010110111000010111111000000010101001110010000100101...

28/193=0,001001010010001111010000001111111010101100011011110110101101110000101111110000000101010011100100...

29/193=0,001001100111011101100000110101000011101001011100110110011000100010011111001010111100010110100011...

30/193=0,001001111100101011110001011010001100100110011101110110000011010100001110100101110011011001100010...

31/193=0,001010010001111010000001111111010101100011011110110101101110000101111110000000101010011100100001...

32/193=0,001010100111001000010010100100011110100000011111110101011000110111101101011011100001011111100000...

33/193=0,001010111100010110100011001001100111011101100000110101000011101001011100110110011000100010011111...

34/193=0,001011010001100100110011101110110000011010100001110100101110011011001100010001001111100101011110...

35/193=0,001011100110110011000100010011111001010111100010110100011001001100111011101100000110101000011101...

36/193=0,001011111100000001010100111001000010010100100011110100000011111110101011000110111101101011011100...

37/193=0,001100010001001111100101011110001011010001100100110011101110110000011010100001110100101110011011...

38/193=0,001100100110011101110110000011010100001110100101110011011001100010001001111100101011110001011010...

39/193=0,001100111011101100000110101000011101001011100110110011000100010011111001010111100010110100011001...

40/193=0,001101010000111010010111001101100110001000100111110010101111000101101000110010011001110111011000...

41/193=0,001101100110001000100111110010101111000101101000110010011001110111011000001101010000111010010111...

42/193=0,001101111011010110111000010111111000000010101001110010000100101001000111101000000111111101010110...

43/193=0,001110010000100101001000111101000000111111101010110001101111011010110111000010111111000000010101...

44/193=0,001110100101110011011001100010001001111100101011110001011010001100100110011101110110000011010100...

45/193=0,001110111011000001101010000111010010111001101100110001000100111110010101111000101101000110010011...

46/193=0,001111010000001111111010101100011011110110101101110000101111110000000101010011100100001001010010...

47/193=0,001111100101011110001011010001100100110011101110110000011010100001110100101110011011001100010001...

48/193=0,001111111010101100011011110110101101110000101111110000000101010011100100001001010010001111010000...

49/193=0,010000001111111010101100011011110110101101110000101111110000000101010011100100001001010010001111...

50/193=0,010000100101001000111101000000111111101010110001101111011010110111000010111111000000010101001110...

51/193=0,010000111010010111001101100110001000100111110010101111000101101000110010011001110111011000001101...

52/193=0,010001001111100101011110001011010001100100110011101110110000011010100001110100101110011011001100...

53/193=0,010001100100110011101110110000011010100001110100101110011011001100010001001111100101011110001011...

54/193=0,010001111010000001111111010101100011011110110101101110000101111110000000101010011100100001001010...

55/193=0,010010001111010000001111111010101100011011110110101101110000101111110000000101010011100100001001...

56/193=0,010010100100011110100000011111110101011000110111101101011011100001011111100000001010100111001000...

57/193=0,010010111001101100110001000100111110010101111000101101000110010011001110111011000001101010000111...

58/193=0,010011001110111011000001101010000111010010111001101100110001000100111110010101111000101101000110...

59/193=0,010011100100001001010010001111010000001111111010101100011011110110101101110000101111110000000101...

60/193=0,010011111001010111100010110100011001001100111011101100000110101000011101001011100110110011000100...

61/193=0,010100001110100101110011011001100010001001111100101011110001011010001100100110011101110110000011...

62/193=0,010100100011110100000011111110101011000110111101101011011100001011111100000001010100111001000010...

63/193=0,010100111001000010010100100011110100000011111110101011000110111101101011011100001011111100000001...

64/193=0,010101001110010000100101001000111101000000111111101010110001101111011010110111000010111111000000...

65/193=0,010101100011011110110101101110000101111110000000101010011100100001001010010001111010000001111111...

66/193=0,010101111000101101000110010011001110111011000001101010000111010010111001101100110001000100111110...

67/193=0,010110001101111011010110111000010111111000000010101001110010000100101001000111101000000111111101...

68/193=0,010110100011001001100111011101100000110101000011101001011100110110011000100010011111001010111100...

69/193=0,010110111000010111111000000010101001110010000100101001000111101000000111111101010110001101111011...

70/193=0,010111001101100110001000100111110010101111000101101000110010011001110111011000001101010000111010...

71/193=0,010111100010110100011001001100111011101100000110101000011101001011100110110011000100010011111001...

72/193=0,010111111000000010101001110010000100101001000111101000000111111101010110001101111011010110111000...

73/193=0,011000001101010000111010010111001101100110001000100111110010101111000101101000110010011001110111...

74/193=0,011000100010011111001010111100010110100011001001100111011101100000110101000011101001011100110110...

75/193=0,011000110111101101011011100001011111100000001010100111001000010010100100011110100000011111110101...

76/193=0,011001001100111011101100000110101000011101001011100110110011000100010011111001010111100010110100...

77/193=0,011001100010001001111100101011110001011010001100100110011101110110000011010100001110100101110011...

78/193=0,011001110111011000001101010000111010010111001101100110001000100111110010101111000101101000110010...

79/193=0,011010001100100110011101110110000011010100001110100101110011011001100010001001111100101011110001...

80/193=0,011010100001110100101110011011001100010001001111100101011110001011010001100100110011101110110000...

81/193=0,011010110111000010111111000000010101001110010000100101001000111101000000111111101010110001101111...

82/193=0,011011001100010001001111100101011110001011010001100100110011101110110000011010100001110100101110...

83/193=0,011011100001011111100000001010100111001000010010100100011110100000011111110101011000110111101101...

84/193=0,011011110110101101110000101111110000000101010011100100001001010010001111010000001111111010101100...

85/193=0,011100001011111100000001010100111001000010010100100011110100000011111110101011000110111101101011...

86/193=0,011100100001001010010001111010000001111111010101100011011110110101101110000101111110000000101010...

87/193=0,011100110110011000100010011111001010111100010110100011001001100111011101100000110101000011101001...

88/193=0,011101001011100110110011000100010011111001010111100010110100011001001100111011101100000110101000...

89/193=0,011101100000110101000011101001011100110110011000100010011111001010111100010110100011001001100111...

90/193=0,011101110110000011010100001110100101110011011001100010001001111100101011110001011010001100100110...

91/193=0,011110001011010001100100110011101110110000011010100001110100101110011011001100010001001111100101...

92/193=0,011110100000011111110101011000110111101101011011100001011111100000001010100111001000010010100100...

93/193=0,011110110101101110000101111110000000101010011100100001001010010001111010000001111111010101100011...

94/193=0,011111001010111100010110100011001001100111011101100000110101000011101001011100110110011000100010...

95/193=0,011111100000001010100111001000010010100100011110100000011111110101011000110111101101011011100001...

96/193=0,011111110101011000110111101101011011100001011111100000001010100111001000010010100100011110100000...

97/193=0,100000001010100111001000010010100100011110100000011111110101011000110111101101011011100001011111...

98/193=0,100000011111110101011000110111101101011011100001011111100000001010100111001000010010100100011110...

99/193=0,100000110101000011101001011100110110011000100010011111001010111100010110100011001001100111011101...

100/193=0,100001001010010001111010000001111111010101100011011110110101101110000101111110000000101010011100...

101/193=0,100001011111100000001010100111001000010010100100011110100000011111110101011000110111101101011011...

102/193=0,100001110100101110011011001100010001001111100101011110001011010001100100110011101110110000011010...

103/193=0,100010001001111100101011110001011010001100100110011101110110000011010100001110100101110011011001...

104/193=0,100010011111001010111100010110100011001001100111011101100000110101000011101001011100110110011000...

105/193=0,100010110100011001001100111011101100000110101000011101001011100110110011000100010011111001010111...

106/193=0,100011001001100111011101100000110101000011101001011100110110011000100010011111001010111100010110...

107/193=0,100011011110110101101110000101111110000000101010011100100001001010010001111010000001111111010101...

108/193=0,100011110100000011111110101011000110111101101011011100001011111100000001010100111001000010010100...

109/193=0,100100001001010010001111010000001111111010101100011011110110101101110000101111110000000101010011...

110/193=0,100100011110100000011111110101011000110111101101011011100001011111100000001010100111001000010010...

111/193=0,100100110011101110110000011010100001110100101110011011001100010001001111100101011110001011010001...

112/193=0,100101001000111101000000111111101010110001101111011010110111000010111111000000010101001110010000...

113/193=0,100101011110001011010001100100110011101110110000011010100001110100101110011011001100010001001111...

114/193=0,100101110011011001100010001001111100101011110001011010001100100110011101110110000011010100001110...

115/193=0,100110001000100111110010101111000101101000110010011001110111011000001101010000111010010111001101...

116/193=0,100110011101110110000011010100001110100101110011011001100010001001111100101011110001011010001100...

117/193=0,100110110011000100010011111001010111100010110100011001001100111011101100000110101000011101001011...

118/193=0,100111001000010010100100011110100000011111110101011000110111101101011011100001011111100000001010...

119/193=0,100111011101100000110101000011101001011100110110011000100010011111001010111100010110100011001001...

120/193=0,100111110010101111000101101000110010011001110111011000001101010000111010010111001101100110001000...

121/193=0,101000000111111101010110001101111011010110111000010111111000000010101001110010000100101001000111...

122/193=0,101000011101001011100110110011000100010011111001010111100010110100011001001100111011101100000110...

123/193=0,101000110010011001110111011000001101010000111010010111001101100110001000100111110010101111000101...

124/193=0,101001000111101000000111111101010110001101111011010110111000010111111000000010101001110010000100...

125/193=0,101001011100110110011000100010011111001010111100010110100011001001100111011101100000110101000011...

126/193=0,101001110010000100101001000111101000000111111101010110001101111011010110111000010111111000000010...

127/193=0,101010000111010010111001101100110001000100111110010101111000101101000110010011001110111011000001...

128/193=0,101010011100100001001010010001111010000001111111010101100011011110110101101110000101111110000000...

129/193=0,101010110001101111011010110111000010111111000000010101001110010000100101001000111101000000111111...

130/193=0,101011000110111101101011011100001011111100000001010100111001000010010100100011110100000011111110...

131/193=0,101011011100001011111100000001010100111001000010010100100011110100000011111110101011000110111101...

132/193=0,101011110001011010001100100110011101110110000011010100001110100101110011011001100010001001111100...

133/193=0,101100000110101000011101001011100110110011000100010011111001010111100010110100011001001100111011...

134/193=0,101100011011110110101101110000101111110000000101010011100100001001010010001111010000001111111010...

135/193=0,101100110001000100111110010101111000101101000110010011001110111011000001101010000111010010111001...

136/193=0,101101000110010011001110111011000001101010000111010010111001101100110001000100111110010101111000...

137/193=0,101101011011100001011111100000001010100111001000010010100100011110100000011111110101011000110111...

138/193=0,101101110000101111110000000101010011100100001001010010001111010000001111111010101100011011110110...

139/193=0,101110000101111110000000101010011100100001001010010001111010000001111111010101100011011110110101...

140/193=0,101110011011001100010001001111100101011110001011010001100100110011101110110000011010100001110100...

141/193=0,101110110000011010100001110100101110011011001100010001001111100101011110001011010001100100110011...

142/193=0,101111000101101000110010011001110111011000001101010000111010010111001101100110001000100111110010...

143/193=0,101111011010110111000010111111000000010101001110010000100101001000111101000000111111101010110001...

144/193=0,101111110000000101010011100100001001010010001111010000001111111010101100011011110110101101110000...

145/193=0,110000000101010011100100001001010010001111010000001111111010101100011011110110101101110000101111...

146/193=0,110000011010100001110100101110011011001100010001001111100101011110001011010001100100110011101110...

147/193=0,110000101111110000000101010011100100001001010010001111010000001111111010101100011011110110101101...

148/193=0,110001000100111110010101111000101101000110010011001110111011000001101010000111010010111001101100...

149/193=0,110001011010001100100110011101110110000011010100001110100101110011011001100010001001111100101011...

150/193=0,110001101111011010110111000010111111000000010101001110010000100101001000111101000000111111101010...

151/193=0,110010000100101001000111101000000111111101010110001101111011010110111000010111111000000010101001...

152/193=0,110010011001110111011000001101010000111010010111001101100110001000100111110010101111000101101000...

153/193=0,110010101111000101101000110010011001110111011000001101010000111010010111001101100110001000100111...

154/193=0,110011000100010011111001010111100010110100011001001100111011101100000110101000011101001011100110...

155/193=0,110011011001100010001001111100101011110001011010001100100110011101110110000011010100001110100101...

156/193=0,110011101110110000011010100001110100101110011011001100010001001111100101011110001011010001100100...

157/193=0,110100000011111110101011000110111101101011011100001011111100000001010100111001000010010100100011...

158/193=0,110100011001001100111011101100000110101000011101001011100110110011000100010011111001010111100010...

159/193=0,110100101110011011001100010001001111100101011110001011010001100100110011101110110000011010100001...

160/193=0,110101000011101001011100110110011000100010011111001010111100010110100011001001100111011101100000...

161/193=0,110101011000110111101101011011100001011111100000001010100111001000010010100100011110100000011111...

162/193=0,110101101110000101111110000000101010011100100001001010010001111010000001111111010101100011011110...

163/193=0,110110000011010100001110100101110011011001100010001001111100101011110001011010001100100110011101...

164/193=0,110110011000100010011111001010111100010110100011001001100111011101100000110101000011101001011100...

165/193=0,110110101101110000101111110000000101010011100100001001010010001111010000001111111010101100011011...

166/193=0,110111000010111111000000010101001110010000100101001000111101000000111111101010110001101111011010...

167/193=0,110111011000001101010000111010010111001101100110001000100111110010101111000101101000110010011001...

168/193=0,110111101101011011100001011111100000001010100111001000010010100100011110100000011111110101011000...

169/193=0,111000000010101001110010000100101001000111101000000111111101010110001101111011010110111000010111...

170/193=0,111000010111111000000010101001110010000100101001000111101000000111111101010110001101111011010110...

171/193=0,111000101101000110010011001110111011000001101010000111010010111001101100110001000100111110010101...

172/193=0,111001000010010100100011110100000011111110101011000110111101101011011100001011111100000001010100...

173/193=0,111001010111100010110100011001001100111011101100000110101000011101001011100110110011000100010011...

174/193=0,111001101100110001000100111110010101111000101101000110010011001110111011000001101010000111010010...

175/193=0,111010000001111111010101100011011110110101101110000101111110000000101010011100100001001010010001...

176/193=0,111010010111001101100110001000100111110010101111000101101000110010011001110111011000001101010000...

177/193=0,111010101100011011110110101101110000101111110000000101010011100100001001010010001111010000001111...

178/193=0,111011000001101010000111010010111001101100110001000100111110010101111000101101000110010011001110...

179/193=0,111011010110111000010111111000000010101001110010000100101001000111101000000111111101010110001101...

180/193=0,111011101100000110101000011101001011100110110011000100010011111001010111100010110100011001001100...

181/193=0,111100000001010100111001000010010100100011110100000011111110101011000110111101101011011100001011...

182/193=0,111100010110100011001001100111011101100000110101000011101001011100110110011000100010011111001010...

183/193=0,111100101011110001011010001100100110011101110110000011010100001110100101110011011001100010001001...

184/193=0,111101000000111111101010110001101111011010110111000010111111000000010101001110010000100101001000...

185/193=0,111101010110001101111011010110111000010111111000000010101001110010000100101001000111101000000111...

186/193=0,111101101011011100001011111100000001010100111001000010010100100011110100000011111110101011000110...

187/193=0,111110000000101010011100100001001010010001111010000001111111010101100011011110110101101110000101...

188/193=0,111110010101111000101101000110010011001110111011000001101010000111010010111001101100110001000100...

189/193=0,111110101011000110111101101011011100001011111100000001010100111001000010010100100011110100000011...

190/193=0,111111000000010101001110010000100101001000111101000000111111101010110001101111011010110111000010...

191/193=0,111111010101100011011110110101101110000101111110000000101010011100100001001010010001111010000001...

192/193=0,111111101010110001101111011010110111000010111111000000010101001110010000100101001000111101000000...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (96) est égal à 192 et donc au premier -1.