diff --git a/Doc/library/os.rst b/Doc/library/os.rst
index ee3c35c2a9987c..6e8df88cf0528b 100644
--- a/Doc/library/os.rst
+++ b/Doc/library/os.rst
@@ -36,9 +36,9 @@ Notes on the availability of these functions:
 
 .. note::
 
-   All functions in this module raise :exc:`OSError` in the case of invalid or
-   inaccessible file names and paths, or other arguments that have the correct
-   type, but are not accepted by the operating system.
+   All functions in this module raise :exc:`OSError` (or subclasses thereof) in
+   the case of invalid or inaccessible file names and paths, or other arguments
+   that have the correct type, but are not accepted by the operating system.
 
 .. exception:: error
 
@@ -1898,8 +1898,8 @@ features:
    directories you can set the umask before invoking :func:`makedirs`.  The
    file permission bits of existing parent directories are not changed.
 
-   If *exist_ok* is ``False`` (the default), an :exc:`OSError` is raised if the
-   target directory already exists.
+   If *exist_ok* is ``False`` (the default), an :exc:`FileExistsError` is
+   raised if the target directory already exists.
 
    .. note::
 
@@ -2052,8 +2052,8 @@ features:
 
 .. function:: remove(path, *, dir_fd=None)
 
-   Remove (delete) the file *path*.  If *path* is a directory, :exc:`OSError` is
-   raised.  Use :func:`rmdir` to remove directories.
+   Remove (delete) the file *path*.  If *path* is a directory, an
+   :exc:`IsADirectoryError` is raised.  Use :func:`rmdir` to remove directories.
 
    This function can support :ref:`paths relative to directory descriptors
    <dir_fd>`.
@@ -2090,13 +2090,19 @@ features:
 
 .. function:: rename(src, dst, *, src_dir_fd=None, dst_dir_fd=None)
 
-   Rename the file or directory *src* to *dst*.  If *dst* is a directory,
-   :exc:`OSError` will be raised.  On Unix, if *dst* exists and is a file, it will
-   be replaced silently if the user has permission.  The operation may fail on some
-   Unix flavors if *src* and *dst* are on different filesystems.  If successful,
-   the renaming will be an atomic operation (this is a POSIX requirement).  On
-   Windows, if *dst* already exists, :exc:`OSError` will be raised even if it is a
-   file.
+   Rename the file or directory *src* to *dst*. If *dst* exists, the operation
+   will fail with an :exc:`OSError` subclass in a number of cases:
+
+   On Windows, if *dst* exists a :exc:`FileExistsError` is always raised.
+
+   On Unix, if *src* is a file and *dst* is a directory or vice-versa, anq:q
+   :exc:`IsADirectoryError` or a :exc:`NotADirectoryError` will be raised
+   respectively.  If both are directories and *dst* is empty, *dst* will be
+   silently replaced.  If *dst* is a non-empty directory, an :exc:`OSError`
+   is raised. If both are files, *dst* it will be replaced silently if the user
+   has permission.  The operation may fail on some Unix flavors if *src* and
+   *dst* are on different filesystems.  If successful, the renaming will be an
+   atomic operation (this is a POSIX requirement).
 
    This function can support specifying *src_dir_fd* and/or *dst_dir_fd* to
    supply :ref:`paths relative to directory descriptors <dir_fd>`.
@@ -2145,9 +2151,10 @@ features:
 
 .. function:: rmdir(path, *, dir_fd=None)
 
-   Remove (delete) the directory *path*.  Only works when the directory is
-   empty, otherwise, :exc:`OSError` is raised.  In order to remove whole
-   directory trees, :func:`shutil.rmtree` can be used.
+   Remove (delete) the directory *path*.  If the directory does not exist or is
+   not empty, an :exc:`FileNotFoundError` or an :exc:`OSError` is raised
+   respectively.  In order to remove whole directory trees,
+   :func:`shutil.rmtree` can be used.
 
    This function can support :ref:`paths relative to directory descriptors
    <dir_fd>`.