Some of the NI cards allow you to change the digital IO high & low voltages, but most cards will not, it depends on your hardware. Many of the DIO cards are 0-5V digital logic, which means that anything above about 2.4V is a digital High, and anything below about 0.8V is a digtal low. You can use external analog circuits to change different voltages into 5V logic levels. We would need more details about your hardware to know.
As for the second question, many digital circuits are designed to be used with a load, so if you do not hook a load onto the output, it will float high, regardless of what state the logic is.
Try connecting a 10K ohm resistor from the output to 5V, just to simulate a load, then measure the voltage out of those digital pins. If that doesn't
work, try connecting the 10K ohm resistor from ground to the output, one of those ideas will work, depending on which type of digital lines you have.