diff --git a/Doc/library/binascii.rst b/Doc/library/binascii.rst
index e3f134b..b3b4aac 100644
--- a/Doc/library/binascii.rst
+++ b/Doc/library/binascii.rst
@@ -110,15 +110,16 @@
    possibly the last fragment).
 
 
-.. function:: crc_hqx(data, crc)
+.. function:: crc_hqx(data, value)
 
-   Compute the binhex4 crc value of *data*, starting with an initial *crc* and
-   returning the result.
+   Compute the binhex4 crc value of *data*, starting with *value* as the
+   initial crc, and return the result.
 
 
-.. function:: crc32(data[, crc])
+.. function:: crc32(data[, value])
 
-   Compute CRC-32, the 32-bit checksum of data, starting with an initial crc.  This
+   Compute CRC-32, the 32-bit checksum of *data*, starting with an
+   initial CRC of *value*.  The default initial CRC is zero.  The algorithm
    is consistent with the ZIP file checksum.  Since the algorithm is designed for
    use as a checksum algorithm, it is not suitable for use as a general hash
    algorithm.  Use as follows::
@@ -126,15 +127,13 @@
       print(binascii.crc32(b"hello world"))
       # Or, in two pieces:
       crc = binascii.crc32(b"hello")
-      crc = binascii.crc32(b" world", crc) & 0xffffffff
+      crc = binascii.crc32(b" world", crc)
       print('crc32 = {:#010x}'.format(crc))
 
-.. note::
-   To generate the same numeric value across all Python versions and
-   platforms use crc32(data) & 0xffffffff.  If you are only using
-   the checksum in packed binary format this is not necessary as the
-   return value is the correct 32bit binary representation
-   regardless of sign.
+   .. versionchanged:: 3.0
+      The result is always unsigned.
+      To generate the same numeric value across all Python versions and
+      platforms, use ``crc32(data) & 0xffffffff``.
 
 
 .. function:: b2a_hex(data)
diff --git a/Doc/library/zlib.rst b/Doc/library/zlib.rst
index 58fc31b0..a815d1f 100644
--- a/Doc/library/zlib.rst
+++ b/Doc/library/zlib.rst
@@ -31,22 +31,19 @@
 .. function:: adler32(data[, value])
 
    Computes an Adler-32 checksum of *data*.  (An Adler-32 checksum is almost as
-   reliable as a CRC32 but can be computed much more quickly.)  If *value* is
-   present, it is used as the starting value of the checksum; otherwise, a fixed
-   default value is used.  This allows computing a running checksum over the
+   reliable as a CRC32 but can be computed much more quickly.)  The result
+   is an unsigned 32-bit integer.  If *value* is present, it is used as
+   the starting value of the checksum; otherwise, a default value of 1
+   is used.  Passing in *value* allows computing a running checksum over the
    concatenation of several inputs.  The algorithm is not cryptographically
    strong, and should not be used for authentication or digital signatures.  Since
    the algorithm is designed for use as a checksum algorithm, it is not suitable
    for use as a general hash algorithm.
 
-   Always returns an unsigned 32-bit integer.
-
-.. note::
-   To generate the same numeric value across all Python versions and
-   platforms use adler32(data) & 0xffffffff.  If you are only using
-   the checksum in packed binary format this is not necessary as the
-   return value is the correct 32bit binary representation
-   regardless of sign.
+   .. versionchanged:: 3.0
+      Always returns an unsigned value.
+      To generate the same numeric value across all Python versions and
+      platforms, use ``adler32(data) & 0xffffffff``.
 
 
 .. function:: compress(data[, level])
@@ -97,23 +94,19 @@
       single: Cyclic Redundancy Check
       single: checksum; Cyclic Redundancy Check
 
-   Computes a CRC (Cyclic Redundancy Check)  checksum of *data*. If *value* is
-   present, it is used as the starting value of the checksum; otherwise, a fixed
-   default value is used.  This allows computing a running checksum over the
+   Computes a CRC (Cyclic Redundancy Check) checksum of *data*. The
+   result is an unsigned 32-bit integer. If *value* is present, it is used
+   as the starting value of the checksum; otherwise, a default value of 0
+   is used.  Passing in *value* allows computing a running checksum over the
    concatenation of several inputs.  The algorithm is not cryptographically
    strong, and should not be used for authentication or digital signatures.  Since
    the algorithm is designed for use as a checksum algorithm, it is not suitable
    for use as a general hash algorithm.
 
-   Always returns an unsigned 32-bit integer.
-
-   .. note::
-
+   .. versionchanged:: 3.0
+      Always returns an unsigned value.
       To generate the same numeric value across all Python versions and
-      platforms, use ``crc32(data) & 0xffffffff``.  If you are only using
-      the checksum in packed binary format this is not necessary as the
-      return value is the correct 32-bit binary representation
-      regardless of sign.
+      platforms, use ``crc32(data) & 0xffffffff``.
 
 
 .. function:: decompress(data[, wbits[, bufsize]])