Two important specs for any digital gate:
VIHmin is the minimum input voltage that is guaranteed to be recognized as logic 1.
VOHmin is the minimum output voltage that is produced for logic 1.
Obviously, for this to work reliably, VOH > VIH
Look at the data sheet for these values and the conditions under which they are specified (such as input current, etc.)
For most CMOS familes, VOHmin is close to the positive supply voltage, but for TTL the guaranteed output is considerably lower.