Liste des fractions de n/199 en base 2.

Il existe 2 périodes de 99 chiffres pour n/199 en base 2.

Pour toutes les fractions de n/199 en base 2, la période de 1/199 revient alors 99 fois (en orange)

1/199=0,000000010100100101010011100111100011101100101101000001100110111010100010000101110010011111100001001...

2/199=0,000000101001001010100111001111000111011001011010000011001101110101000100001011100100111111000010010...

3/199=0,000000111101101111111010110110101011000110000111000100110100101111100110010001010111011110100011011...

4/199=0,000001010010010101001110011110001110110010110100000110011011101010001000010111001001111110000100100...

5/199=0,000001100110111010100010000101110010011111100001001000000010100100101010011100111100011101100101101...

6/199=0,000001111011011111110101101101010110001100001110001001101001011111001100100010101110111101000110110...

7/199=0,000010010000000101001001010100111001111000111011001011010000011001101110101000100001011100100111111...

8/199=0,000010100100101010011100111100011101100101101000001100110111010100010000101110010011111100001001000...

9/199=0,000010111001001111110000100100000001010010010101001110011110001110110010110100000110011011101010001...

10/199=0,000011001101110101000100001011100100111111000010010000000101001001010100111001111000111011001011010...

11/199=0,000011100010011010010111110011001000101011101111010001101100000011110110111111101011011010101100011...

12/199=0,000011110110111111101011011010101100011000011100010011010010111110011001000101011101111010001101100...

13/199=0,000100001011100100111111000010010000000101001001010100111001111000111011001011010000011001101110101...

14/199=0,000100100000001010010010101001110011110001110110010110100000110011011101010001000010111001001111110...

15/199=0,000100110100101111100110010001010111011110100011011000000111101101111111010110110101011000110000111...

16/199=0,000101001001010100111001111000111011001011010000011001101110101000100001011100100111111000010010000...

17/199=0,000101011101111010001101100000011110110111111101011011010101100011000011100010011010010111110011001...

18/199=0,000101110010011111100001001000000010100100101010011100111100011101100101101000001100110111010100010...

19/199=0,000110000111000100110100101111100110010001010111011110100011011000000111101101111111010110110101011...

20/199=0,000110011011101010001000010111001001111110000100100000001010010010101001110011110001110110010110100...

21/199=0,000110110000001111011011111110101101101010110001100001110001001101001011111001100100010101110111101...

22/199=0,000111000100110100101111100110010001010111011110100011011000000111101101111111010110110101011000110...

23/199=0,000111011001011010000011001101110101000100001011100100111111000010010000000101001001010100111001111...

24/199=0,000111101101111111010110110101011000110000111000100110100101111100110010001010111011110100011011000...

25/199=0,001000000010100100101010011100111100011101100101101000001100110111010100010000101110010011111100001...

26/199=0,001000010111001001111110000100100000001010010010101001110011110001110110010110100000110011011101010...

27/199=0,001000101011101111010001101100000011110110111111101011011010101100011000011100010011010010111110011...

28/199=0,001001000000010100100101010011100111100011101100101101000001100110111010100010000101110010011111100...

29/199=0,001001010100111001111000111011001011010000011001101110101000100001011100100111111000010010000000101...

30/199=0,001001101001011111001100100010101110111101000110110000001111011011111110101101101010110001100001110...

31/199=0,001001111110000100100000001010010010101001110011110001110110010110100000110011011101010001000010111...

32/199=0,001010010010101001110011110001110110010110100000110011011101010001000010111001001111110000100100000...

33/199=0,001010100111001111000111011001011010000011001101110101000100001011100100111111000010010000000101001...

34/199=0,001010111011110100011011000000111101101111111010110110101011000110000111000100110100101111100110010...

35/199=0,001011010000011001101110101000100001011100100111111000010010000000101001001010100111001111000111011...

36/199=0,001011100100111111000010010000000101001001010100111001111000111011001011010000011001101110101000100...

37/199=0,001011111001100100010101110111101000110110000001111011011111110101101101010110001100001110001001101...

38/199=0,001100001110001001101001011111001100100010101110111101000110110000001111011011111110101101101010110...

39/199=0,001100100010101110111101000110110000001111011011111110101101101010110001100001110001001101001011111...

40/199=0,001100110111010100010000101110010011111100001001000000010100100101010011100111100011101100101101000...

41/199=0,001101001011111001100100010101110111101000110110000001111011011111110101101101010110001100001110001...

42/199=0,001101100000011110110111111101011011010101100011000011100010011010010111110011001000101011101111010...

43/199=0,001101110101000100001011100100111111000010010000000101001001010100111001111000111011001011010000011...

44/199=0,001110001001101001011111001100100010101110111101000110110000001111011011111110101101101010110001100...

45/199=0,001110011110001110110010110100000110011011101010001000010111001001111110000100100000001010010010101...

46/199=0,001110110010110100000110011011101010001000010111001001111110000100100000001010010010101001110011110...

47/199=0,001111000111011001011010000011001101110101000100001011100100111111000010010000000101001001010100111...

48/199=0,001111011011111110101101101010110001100001110001001101001011111001100100010101110111101000110110000...

49/199=0,001111110000100100000001010010010101001110011110001110110010110100000110011011101010001000010111001...

50/199=0,010000000101001001010100111001111000111011001011010000011001101110101000100001011100100111111000010...

51/199=0,010000011001101110101000100001011100100111111000010010000000101001001010100111001111000111011001011...

52/199=0,010000101110010011111100001001000000010100100101010011100111100011101100101101000001100110111010100...

53/199=0,010001000010111001001111110000100100000001010010010101001110011110001110110010110100000110011011101...

54/199=0,010001010111011110100011011000000111101101111111010110110101011000110000111000100110100101111100110...

55/199=0,010001101100000011110110111111101011011010101100011000011100010011010010111110011001000101011101111...

56/199=0,010010000000101001001010100111001111000111011001011010000011001101110101000100001011100100111111000...

57/199=0,010010010101001110011110001110110010110100000110011011101010001000010111001001111110000100100000001...

58/199=0,010010101001110011110001110110010110100000110011011101010001000010111001001111110000100100000001010...

59/199=0,010010111110011001000101011101111010001101100000011110110111111101011011010101100011000011100010011...

60/199=0,010011010010111110011001000101011101111010001101100000011110110111111101011011010101100011000011100...

61/199=0,010011100111100011101100101101000001100110111010100010000101110010011111100001001000000010100100101...

62/199=0,010011111100001001000000010100100101010011100111100011101100101101000001100110111010100010000101110...

63/199=0,010100010000101110010011111100001001000000010100100101010011100111100011101100101101000001100110111...

64/199=0,010100100101010011100111100011101100101101000001100110111010100010000101110010011111100001001000000...

65/199=0,010100111001111000111011001011010000011001101110101000100001011100100111111000010010000000101001001...

66/199=0,010101001110011110001110110010110100000110011011101010001000010111001001111110000100100000001010010...

67/199=0,010101100011000011100010011010010111110011001000101011101111010001101100000011110110111111101011011...

68/199=0,010101110111101000110110000001111011011111110101101101010110001100001110001001101001011111001100100...

69/199=0,010110001100001110001001101001011111001100100010101110111101000110110000001111011011111110101101101...

70/199=0,010110100000110011011101010001000010111001001111110000100100000001010010010101001110011110001110110...

71/199=0,010110110101011000110000111000100110100101111100110010001010111011110100011011000000111101101111111...

72/199=0,010111001001111110000100100000001010010010101001110011110001110110010110100000110011011101010001000...

73/199=0,010111011110100011011000000111101101111111010110110101011000110000111000100110100101111100110010001...

74/199=0,010111110011001000101011101111010001101100000011110110111111101011011010101100011000011100010011010...

75/199=0,011000000111101101111111010110110101011000110000111000100110100101111100110010001010111011110100011...

76/199=0,011000011100010011010010111110011001000101011101111010001101100000011110110111111101011011010101100...

77/199=0,011000110000111000100110100101111100110010001010111011110100011011000000111101101111111010110110101...

78/199=0,011001000101011101111010001101100000011110110111111101011011010101100011000011100010011010010111110...

79/199=0,011001011010000011001101110101000100001011100100111111000010010000000101001001010100111001111000111...

80/199=0,011001101110101000100001011100100111111000010010000000101001001010100111001111000111011001011010000...

81/199=0,011010000011001101110101000100001011100100111111000010010000000101001001010100111001111000111011001...

82/199=0,011010010111110011001000101011101111010001101100000011110110111111101011011010101100011000011100010...

83/199=0,011010101100011000011100010011010010111110011001000101011101111010001101100000011110110111111101011...

84/199=0,011011000000111101101111111010110110101011000110000111000100110100101111100110010001010111011110100...

85/199=0,011011010101100011000011100010011010010111110011001000101011101111010001101100000011110110111111101...

86/199=0,011011101010001000010111001001111110000100100000001010010010101001110011110001110110010110100000110...

87/199=0,011011111110101101101010110001100001110001001101001011111001100100010101110111101000110110000001111...

88/199=0,011100010011010010111110011001000101011101111010001101100000011110110111111101011011010101100011000...

89/199=0,011100100111111000010010000000101001001010100111001111000111011001011010000011001101110101000100001...

90/199=0,011100111100011101100101101000001100110111010100010000101110010011111100001001000000010100100101010...

91/199=0,011101010001000010111001001111110000100100000001010010010101001110011110001110110010110100000110011...

92/199=0,011101100101101000001100110111010100010000101110010011111100001001000000010100100101010011100111100...

93/199=0,011101111010001101100000011110110111111101011011010101100011000011100010011010010111110011001000101...

94/199=0,011110001110110010110100000110011011101010001000010111001001111110000100100000001010010010101001110...

95/199=0,011110100011011000000111101101111111010110110101011000110000111000100110100101111100110010001010111...

96/199=0,011110110111111101011011010101100011000011100010011010010111110011001000101011101111010001101100000...

97/199=0,011111001100100010101110111101000110110000001111011011111110101101101010110001100001110001001101001...

98/199=0,011111100001001000000010100100101010011100111100011101100101101000001100110111010100010000101110010...

99/199=0,011111110101101101010110001100001110001001101001011111001100100010101110111101000110110000001111011...

100/199=0,100000001010010010101001110011110001110110010110100000110011011101010001000010111001001111110000100...

101/199=0,100000011110110111111101011011010101100011000011100010011010010111110011001000101011101111010001101...

102/199=0,100000110011011101010001000010111001001111110000100100000001010010010101001110011110001110110010110...

103/199=0,100001001000000010100100101010011100111100011101100101101000001100110111010100010000101110010011111...

104/199=0,100001011100100111111000010010000000101001001010100111001111000111011001011010000011001101110101000...

105/199=0,100001110001001101001011111001100100010101110111101000110110000001111011011111110101101101010110001...

106/199=0,100010000101110010011111100001001000000010100100101010011100111100011101100101101000001100110111010...

107/199=0,100010011010010111110011001000101011101111010001101100000011110110111111101011011010101100011000011...

108/199=0,100010101110111101000110110000001111011011111110101101101010110001100001110001001101001011111001100...

109/199=0,100011000011100010011010010111110011001000101011101111010001101100000011110110111111101011011010101...

110/199=0,100011011000000111101101111111010110110101011000110000111000100110100101111100110010001010111011110...

111/199=0,100011101100101101000001100110111010100010000101110010011111100001001000000010100100101010011100111...

112/199=0,100100000001010010010101001110011110001110110010110100000110011011101010001000010111001001111110000...

113/199=0,100100010101110111101000110110000001111011011111110101101101010110001100001110001001101001011111001...

114/199=0,100100101010011100111100011101100101101000001100110111010100010000101110010011111100001001000000010...

115/199=0,100100111111000010010000000101001001010100111001111000111011001011010000011001101110101000100001011...

116/199=0,100101010011100111100011101100101101000001100110111010100010000101110010011111100001001000000010100...

117/199=0,100101101000001100110111010100010000101110010011111100001001000000010100100101010011100111100011101...

118/199=0,100101111100110010001010111011110100011011000000111101101111111010110110101011000110000111000100110...

119/199=0,100110010001010111011110100011011000000111101101111111010110110101011000110000111000100110100101111...

120/199=0,100110100101111100110010001010111011110100011011000000111101101111111010110110101011000110000111000...

121/199=0,100110111010100010000101110010011111100001001000000010100100101010011100111100011101100101101000001...

122/199=0,100111001111000111011001011010000011001101110101000100001011100100111111000010010000000101001001010...

123/199=0,100111100011101100101101000001100110111010100010000101110010011111100001001000000010100100101010011...

124/199=0,100111111000010010000000101001001010100111001111000111011001011010000011001101110101000100001011100...

125/199=0,101000001100110111010100010000101110010011111100001001000000010100100101010011100111100011101100101...

126/199=0,101000100001011100100111111000010010000000101001001010100111001111000111011001011010000011001101110...

127/199=0,101000110110000001111011011111110101101101010110001100001110001001101001011111001100100010101110111...

128/199=0,101001001010100111001111000111011001011010000011001101110101000100001011100100111111000010010000000...

129/199=0,101001011111001100100010101110111101000110110000001111011011111110101101101010110001100001110001001...

130/199=0,101001110011110001110110010110100000110011011101010001000010111001001111110000100100000001010010010...

131/199=0,101010001000010111001001111110000100100000001010010010101001110011110001110110010110100000110011011...

132/199=0,101010011100111100011101100101101000001100110111010100010000101110010011111100001001000000010100100...

133/199=0,101010110001100001110001001101001011111001100100010101110111101000110110000001111011011111110101101...

134/199=0,101011000110000111000100110100101111100110010001010111011110100011011000000111101101111111010110110...

135/199=0,101011011010101100011000011100010011010010111110011001000101011101111010001101100000011110110111111...

136/199=0,101011101111010001101100000011110110111111101011011010101100011000011100010011010010111110011001000...

137/199=0,101100000011110110111111101011011010101100011000011100010011010010111110011001000101011101111010001...

138/199=0,101100011000011100010011010010111110011001000101011101111010001101100000011110110111111101011011010...

139/199=0,101100101101000001100110111010100010000101110010011111100001001000000010100100101010011100111100011...

140/199=0,101101000001100110111010100010000101110010011111100001001000000010100100101010011100111100011101100...

141/199=0,101101010110001100001110001001101001011111001100100010101110111101000110110000001111011011111110101...

142/199=0,101101101010110001100001110001001101001011111001100100010101110111101000110110000001111011011111110...

143/199=0,101101111111010110110101011000110000111000100110100101111100110010001010111011110100011011000000111...

144/199=0,101110010011111100001001000000010100100101010011100111100011101100101101000001100110111010100010000...

145/199=0,101110101000100001011100100111111000010010000000101001001010100111001111000111011001011010000011001...

146/199=0,101110111101000110110000001111011011111110101101101010110001100001110001001101001011111001100100010...

147/199=0,101111010001101100000011110110111111101011011010101100011000011100010011010010111110011001000101011...

148/199=0,101111100110010001010111011110100011011000000111101101111111010110110101011000110000111000100110100...

149/199=0,101111111010110110101011000110000111000100110100101111100110010001010111011110100011011000000111101...

150/199=0,110000001111011011111110101101101010110001100001110001001101001011111001100100010101110111101000110...

151/199=0,110000100100000001010010010101001110011110001110110010110100000110011011101010001000010111001001111...

152/199=0,110000111000100110100101111100110010001010111011110100011011000000111101101111111010110110101011000...

153/199=0,110001001101001011111001100100010101110111101000110110000001111011011111110101101101010110001100001...

154/199=0,110001100001110001001101001011111001100100010101110111101000110110000001111011011111110101101101010...

155/199=0,110001110110010110100000110011011101010001000010111001001111110000100100000001010010010101001110011...

156/199=0,110010001010111011110100011011000000111101101111111010110110101011000110000111000100110100101111100...

157/199=0,110010011111100001001000000010100100101010011100111100011101100101101000001100110111010100010000101...

158/199=0,110010110100000110011011101010001000010111001001111110000100100000001010010010101001110011110001110...

159/199=0,110011001000101011101111010001101100000011110110111111101011011010101100011000011100010011010010111...

160/199=0,110011011101010001000010111001001111110000100100000001010010010101001110011110001110110010110100000...

161/199=0,110011110001110110010110100000110011011101010001000010111001001111110000100100000001010010010101001...

162/199=0,110100000110011011101010001000010111001001111110000100100000001010010010101001110011110001110110010...

163/199=0,110100011011000000111101101111111010110110101011000110000111000100110100101111100110010001010111011...

164/199=0,110100101111100110010001010111011110100011011000000111101101111111010110110101011000110000111000100...

165/199=0,110101000100001011100100111111000010010000000101001001010100111001111000111011001011010000011001101...

166/199=0,110101011000110000111000100110100101111100110010001010111011110100011011000000111101101111111010110...

167/199=0,110101101101010110001100001110001001101001011111001100100010101110111101000110110000001111011011111...

168/199=0,110110000001111011011111110101101101010110001100001110001001101001011111001100100010101110111101000...

169/199=0,110110010110100000110011011101010001000010111001001111110000100100000001010010010101001110011110001...

170/199=0,110110101011000110000111000100110100101111100110010001010111011110100011011000000111101101111111010...

171/199=0,110110111111101011011010101100011000011100010011010010111110011001000101011101111010001101100000011...

172/199=0,110111010100010000101110010011111100001001000000010100100101010011100111100011101100101101000001100...

173/199=0,110111101000110110000001111011011111110101101101010110001100001110001001101001011111001100100010101...

174/199=0,110111111101011011010101100011000011100010011010010111110011001000101011101111010001101100000011110...

175/199=0,111000010010000000101001001010100111001111000111011001011010000011001101110101000100001011100100111...

176/199=0,111000100110100101111100110010001010111011110100011011000000111101101111111010110110101011000110000...

177/199=0,111000111011001011010000011001101110101000100001011100100111111000010010000000101001001010100111001...

178/199=0,111001001111110000100100000001010010010101001110011110001110110010110100000110011011101010001000010...

179/199=0,111001100100010101110111101000110110000001111011011111110101101101010110001100001110001001101001011...

180/199=0,111001111000111011001011010000011001101110101000100001011100100111111000010010000000101001001010100...

181/199=0,111010001101100000011110110111111101011011010101100011000011100010011010010111110011001000101011101...

182/199=0,111010100010000101110010011111100001001000000010100100101010011100111100011101100101101000001100110...

183/199=0,111010110110101011000110000111000100110100101111100110010001010111011110100011011000000111101101111...

184/199=0,111011001011010000011001101110101000100001011100100111111000010010000000101001001010100111001111000...

185/199=0,111011011111110101101101010110001100001110001001101001011111001100100010101110111101000110110000001...

186/199=0,111011110100011011000000111101101111111010110110101011000110000111000100110100101111100110010001010...

187/199=0,111100001001000000010100100101010011100111100011101100101101000001100110111010100010000101110010011...

188/199=0,111100011101100101101000001100110111010100010000101110010011111100001001000000010100100101010011100...

189/199=0,111100110010001010111011110100011011000000111101101111111010110110101011000110000111000100110100101...

190/199=0,111101000110110000001111011011111110101101101010110001100001110001001101001011111001100100010101110...

191/199=0,111101011011010101100011000011100010011010010111110011001000101011101111010001101100000011110110111...

192/199=0,111101101111111010110110101011000110000111000100110100101111100110010001010111011110100011011000000...

193/199=0,111110000100100000001010010010101001110011110001110110010110100000110011011101010001000010111001001...

194/199=0,111110011001000101011101111010001101100000011110110111111101011011010101100011000011100010011010010...

195/199=0,111110101101101010110001100001110001001101001011111001100100010101110111101000110110000001111011011...

196/199=0,111111000010010000000101001001010100111001111000111011001011010000011001101110101000100001011100100...

197/199=0,111111010110110101011000110000111000100110100101111100110010001010111011110100011011000000111101101...

198/199=0,111111101011011010101100011000011100010011010010111110011001000101011101111010001101100000011110110...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (99) est égal à 198 et donc au premier -1.