Downy Woodpeckers nest in dead trees or in dead parts of live trees. They typically choose a small stub (averaging around 7 inches in diameter) that leans away from the vertical, and place the entrance hole on the underside. Nest trees are often deciduous and the wood is often infected with a fungus that softens the wood, making excavating easier.
From:
https://www.allaboutbirds.org/...
In the winter, they roost in tree cavities. Downy Woodpeckers forage on trees, picking the bark surface in summer and digging deeper in winter. They mainly eat insects, also seeds and berries. In winter, especially, downy woodpeckers can often be found in suburban backyards with trees and will feed on suet at birdfeeders.
From:
https://en.wikipedia.org/wiki/...