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1.
Asserting, in a euphemistic manner, that you are about to go and take a dump.
How one might implement a poophemism:

*Family at the table eating*

You: "Be right back, just going on a short logging expedition"
by LukeRam April 11, 2010
 
2.
A polite or comedic way to excuse one’s self to go poop.
My favorite poophemism has to be "drop off the kids at the pool," or "I dropped the browns at the superbowl," or even, "I've gotta go doo something."
by Smashertown January 11, 2011