I know seven segment display technology, and that's common.
First the question would have been what is "14-seg display" you are referring to but Wikipedia answered that for me
http://en.wikipedia.org/wiki/Fourteen-segment_displayOne simple way to control whatever combination of display segments is this.
You have a separate switch for each position you want to indicate.
You make sure that only one of them is active at one time passing power though (more than one "on" gives strange display results of both characters for them combined)
I expect you have LED display.
Add a suitable resistor for each segment.
Connect the common pin to +power or - depending on display polarity.
From each switch wire a diodes that pass current to those segments that need to be on (diodes wired to free end of segment current limiting resistors). In this way when switch is turned on the segments where diodes connect to become active.
In the end you have just a large set of resistors, few switches and a large set of diodes that do the display controlling.