code: public static float buildFloat(int mant, int exp) {
  		if (exp < -125 || mant == 0) {
  			return 0.0f;
  		}
  
  		if (exp >= 128) {
  			return (mant > 0) ? Float.POSITIVE_INFINITY : Float.NEGATIVE_INFINITY;
  		}
  
  		if (exp == 0) {
  			return mant;
  		}
  
  		if (mant >= (1 << 26)) {
  			mant++; // round up trailing bits if they will be dropped.
  		}
  
  		return (float) ((exp > 0) ? mant * pow10[exp] : mant / pow10[-exp]);
  	}
docs: Computes a float from mantissa and exponent.