Poj1131-Octal (fractions)

Octal Fractions

Time limit:1000 ms		Memory limit:10000 K
Total submissions:6669		Accepted:3641

Description

Fractions in octal (base 8) notation can be expressed exactly in decimal notation. for example, 0.75 in octal is 0.953125 (7/8 + 5/64) in decimal. all Octal numbers of N digits to the right of the octal point can be expressed in no more than 3N decimal digits to the right of the decimal point.

Write a program to convert octal numerals between 0 and 1, intrusive, into equivalent decimal numerals.

Input

The input to your program will consist of Octal numbers, one per line, to be converted. each input number has the form 0. d1d2d3... DK, where the di are octal digits (0 .. 7 ). there is no limit on K.

Output

Your output will consist of a sequence of lines of the form

0. d1d2d3... DK [8] = 0. d1d2d3... DM [10]
Where the left side is the input (in octal), and the right hand side the decimal (base 10) equivalent. there must be no trailing zeros, I. e. DM is not equal to 0.

Sample Input

0.750.00010.01234567

Sample output

0.75 [8] = 0.953125 [10]0.0001 [8] = 0.000244140625 [10]0.01234567 [8] = 0.020408093929290771484375 [10]

 

It feels good to use a large number of Java

Import Java. util. *; import Java. io. *; import Java. math. *; import Java. text. *; public class main {public static void main (string [] ARGs) {consumer SC = new consumer (New bufferedinputstream (system. in); // With bufferedinputstream, it is said that bigdecimal ans, T, TMP; while (SC. hasnext () {string ST = SC. nextline (); // string input T = bigdecimal. valueof (1); ans = bigdecimal. valueof (0); int I, Sta = ST. indexof ('. '); // find the first appearance '. 'location for (I = sta + 1; I <St. length (); ++ I) {// obtain the string length. Only the length () method TMP = bigdecimal can be used. valueof (St. charat (I)-'0'); // charat () obtains the character T = t at the current position. divide (New bigdecimal ("8"); // a large number can only be used with a large number, and an int can only be used with an int string and a string TMP = TMP. multiply (t); // multiply ans = ans. add (TMP); // Add} system. out. println (ST + "[8] =" + ans + "[10]"); // system is also available. out. printf ();}}}

 

Poj1131-Octal (fractions)