The damage on your birch tree appears to be sapsucker damage. Sapsucker feeding is a common problem on birch trees. The regular pattern of rows and columns of feeding holes is typical of sapsucker damage. Birch borers are also a common problem and it is possible you have those in other parts of your tree. Borers typically produce fewer, more randomly distributed bore holes.

For more information on identifying and controlling sapsucker damage and distinguishing it from insect damage, please see the article at

https://pnwhandbooks.org/plantdisease/pathogen-articles/nonpathogenic-phenomena/recognizing-sapsucke...

For more information on identifying and managing birch borer damage, see the article at http://www.extension.umn.edu/garden/insects/find/bronze-birch-borer/