The ULN2003 has both input drive resistors and internal base pulldown
resistors (there should be a picture in the data sheet).

Checks DS ...

    2k7 input to base 1
    7k2 base1 to base 2
    3k base2 to ground

That's a fairly stiff pulldown.
Will easily cope with floating condition




> I have a simple circuit where a PIC drives some high-current outputs
> via a ULN2003A darlington array.  Each output pin goes directly into
> the base of a darlington pair in the 2003 chip, which would normally
> work fine.
>
> However, when the chip's resetting, the I/O pins are tristated and
> the darlington arrays would be left floating.  I'm not really sure
> what they would do in that case.  Should I go to the effort of
> tying the PIC outputs to a pulldown (or pullup) resistor in this
> case, or just not worry about the brief time they'll be tristated?

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