24/05/06 09:42:09.91 fp7P4Tx60.net
練習問題
十進法で1/2024で表される数値を二進法の小数で表すとき
(1) 循環節は何桁の数字になるか?
(2) 循環節を列挙せよ。
あらゆるフリーリソースを用いてよい。
参考にならない参考資料
1/2024(十進法) =
0.00000000001000000110000100100011011010100011111010111100001101001001110111011001100011001010
01011111000111010101100000001000000110000100100011011010100011111010111100001101001001110111011001
10001100101001011111000111010101100000001000000110000100100011011010100011111010111100001101001001
11011101100110001100101001011111000111010101100000001000000110000100100011011010100011111010111100
00110100100111011101100110001100101001011111000111010101100000001000000110000100100011011010100011
11101011110000110100100111011101100110001100101001011111000111010101100000001000000110000100100011
01101010001111101011110000110100100111011101100110001100101001011111000111010101100000001000000110
00010010001101101010001111101011110000110100100111011101100110001100101001011111000111010101100000
00100000011000010010001101101010001111101011110000110100100111011101100110001100101001011111000111
01010110000000100000011000010010001101101010001111101011110000110100100111011101100110001100101001
011111000111010101100000001000000110.....(二進法)
f[x_] := If[x==0,"0","1"]
StringJoin["0.",Table["0",10],f /@ Flatten@RealDigits[1/2024,2,1000][[1]]]
Flatten@RealDigits[1/2024,2][[1]]
Length@Flatten@RealDigits[1/2024,2][[1]]