UDN1981 doesn't exist. Perhaps you mean UDN2981 ? You certainly don't use pull-up resistors on the output of drivers like this as they are providing current or no current.
[BTW please check the text is legible before posting images containing text!!]
You haven't provided details of the LED display - voltage, current, and whether it has built in current limiting (usually not). I suspect you'll need to add suitable current limiting resistors on the UDN2981 outputs to the segments.