Float represenation in Java https://stackoverflow.com/questions/24273994/how-do-you-get-the-mantissa-of-a-float-in-java

FloatDestuct.java

/**This example illustrates how to extract the sign (the leftmost bit), exponent (the 8 following bits) and mantissa (the 23 rightmost bits) from a float in Java.*/
void floatDestuct() {
    int bits = Float.floatToIntBits(-0.005f);
    int sign = bits >>> 31;
    int exp = (bits >>> 23 & ((1 << 8) - 1)) - ((1 << 7) - 1);
    int mantissa = bits & ((1 << 23) - 1);
    System.out.println(sign + " " + exp + " " + mantissa + " " +
      Float.intBitsToFloat((sign << 31) | (exp + ((1 << 7) - 1)) << 23 | mantissa));
}

/** The same approach can be used for double’s (11 bit exponent and 52 bit mantissa) */
void doubleDestuct() {
    long bits = Double.doubleToLongBits(-0.005);
    long sign = bits >>> 63;
    long exp = (bits >>> 52 & ((1 << 11) - 1)) - ((1 << 10) - 1);
    long mantissa = bits & ((1L << 52) - 1);
    System.out.println(sign + " " + exp + " " + mantissa + " " +
      Double.longBitsToDouble((sign << 63) | (exp + ((1 << 10) - 1)) << 52 | mantissa));
}