@hackage bin0.1.4

This package provides binary natural numbers (Data.Bin); also utilities to work on the type level with DataKinds (Data.Type.Bin).

data Bin
    = BZ       -- ^ zero
    | BP BinP  -- ^ non-zero

data BinP
    = BE       -- ^ one
    | B0 BinP  -- ^ double
    | B1 BinP  -- ^ double plus 1

There are ordinals in Data.Bin.Pos module, as well as fixed width integers in Data.Wrd.

Another implementation is at https://hackage.haskell.org/package/nat, this differs in naming, and provides promoted variant.