OK, that info's useful. Tell us what you think of the attached cct.
Analogue latch: The top left opamp detects when a reed switch is closed and turns on the transistor. When the transistor is on, the lower left opamp charges the 10uF cap to the input voltage. The other opamp just buffers the signal to reduce the discharge rate of the cap. Cap should be low leakage and possibly a fair bit bigger than 10uF...
Digital Latch: The other cct (which is the digital latch cct you were after), with the transparent latch (74HC373 or 74HC573) has the same switch closed detector to enable the latch. When the switch opens, the latch is closed. A ULN2007 is not required, as the latch is capable of directly driving up to 35mA. You may need pull-ups on the LM3914 outputs, and be sure to use a current limiting resistor from VCC to the LED anodes (1 resistor shared between all leds is OK, as only 1 led is driven at a time).