You can generate a triggered pulse in a counter by sending a signal to the gate from the Analog output, as long as such analog output meets the operational contitions of the counter of the PCI-6713. Just make sure that the signal does not exceed 5V. The trigger on the gate pin will be taken as low from 0 to 0.8V and as high from 2 to 5V.
Thanks for contacting National Instruments!
