why java float math is fun -- aka -- IEEE 754 and base2 rounding

gistfile1.txt

public final class Temp {
    public static void main(String[] args) throws Exception {
        // why java float math is fun
        // aka:  IEEE 754 and base2 rounding
        
        System.out.println("0.0 + 0.3 = " + (0.0F + 0.3F)); // 0.3
        System.out.println("0.3 + 0.3 = " + (0.3F + 0.3F)); // 0.6
        System.out.println("0.6 + 0.3 = " + (0.6F + 0.3F)); // 0.90000004

        System.out.println("0.0 + 0.3 = " + (0.0D + 0.3D)); // 0.3
        System.out.println("0.3 + 0.3 = " + (0.3D + 0.3D)); // 0.6
        System.out.println("0.6 + 0.3 = " + (0.6D + 0.3D)); // 0.8999999999999999
        
    }
}