/* package whatever; // don't place package name! */
 
import java.util.*;
import java.lang.*;
import java.io.*;
 
/* Name of the class has to be "Main" only if the class is public. */
class Ideone
{
	public static void main (String[] args) throws java.lang.Exception
	{
		System.out.println(isExactFloat(0.24));
        System.out.println(isExactFloat(0.25));
        System.out.println(isExactFloat(0.5));
        System.out.println(isExactFloat(1.25));
        System.out.println(isExactFloat(2.125));
        System.out.println(isExactFloat(3.3125));
        System.out.println(isExactFloat(6.09375));
        System.out.println(isExactFloat(7.109375));
        System.out.println(isExactFloat(9.6171875));
	}
 
	// Determine whether number is exactly representable in double.
	// i.e., No rounding to an approximation during the conversion.
	// Results are valid for numbers in the range [2^-24, 2^52].
 
	public static boolean isExactFloat(double val) {
 
        int exp2 = Math.getExponent(val);
        int exp10 = (int) Math.floor(Math.log10(Math.abs(val)));
 
        // check for any mismatch between the exact decimal and
        // the round-trip representation.
        int rightmost_bits = (52 - exp2) - (16 - exp10);
 
        // create bitmask for rightmost bits
        long mask = (1L << rightmost_bits) - 1;
 
        // test if all rightmost bits are 0's (i.e., no rounding)
        return (Double.doubleToLongBits(val) & mask) == 0;
    }
}
 

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