diff --git a/Lib/gzip.py b/Lib/gzip.py
index a613bae..a2f2367 100644
--- a/Lib/gzip.py
+++ b/Lib/gzip.py
@@ -21,9 +21,6 @@
     # or unsigned.
     output.write(struct.pack("<L", value))
 
-def read32(input):
-    return struct.unpack("<I", input.read(4))[0]
-
 def open(filename, mode="rb", compresslevel=9):
     """Shorthand for GzipFile(filename, mode, compresslevel).
 
@@ -184,24 +181,28 @@
         self.crc = zlib.crc32("") & 0xffffffffL
         self.size = 0
 
+    def _read_exact(self, n):
+        data = self.fileobj.read(n)
+        while len(data) < n:
+            b = self.fileobj.read(n - len(data))
+            if not b:
+                raise EOFError("Compressed file ended before the "
+                               "end-of-stream marker was reached")
+            data += b
+        return data
+
     def _read_gzip_header(self):
         magic = self.fileobj.read(2)
         if magic != '\037\213':
             raise IOError, 'Not a gzipped file'
-        method = ord( self.fileobj.read(1) )
+
+        method, flag, self.mtime = struct.unpack("<BBIxx", self._read_exact(8))
         if method != 8:
             raise IOError, 'Unknown compression method'
-        flag = ord( self.fileobj.read(1) )
-        self.mtime = read32(self.fileobj)
-        # extraflag = self.fileobj.read(1)
-        # os = self.fileobj.read(1)
-        self.fileobj.read(2)
 
         if flag & FEXTRA:
             # Read & discard the extra field, if present
-            xlen = ord(self.fileobj.read(1))
-            xlen = xlen + 256*ord(self.fileobj.read(1))
-            self.fileobj.read(xlen)
+            self._read_exact(struct.unpack("<H", self._read_exact(2)))
         if flag & FNAME:
             # Read and discard a null-terminated string containing the filename
             while True:
@@ -215,7 +216,7 @@
                 if not s or s=='\000':
                     break
         if flag & FHCRC:
-            self.fileobj.read(2)     # Read & discard the 16-bit header CRC
+            self._read_exact(2)     # Read & discard the 16-bit header CRC
 
     def write(self,data):
         self._check_closed()
@@ -249,20 +250,16 @@
 
         readsize = 1024
         if size < 0:        # get the whole thing
-            try:
-                while True:
-                    self._read(readsize)
-                    readsize = min(self.max_read_chunk, readsize * 2)
-            except EOFError:
-                size = self.extrasize
+            while self._read(readsize):
+                readsize = min(self.max_read_chunk, readsize * 2)
+            size = self.extrasize
         else:               # just get some more of it
-            try:
-                while size > self.extrasize:
-                    self._read(readsize)
-                    readsize = min(self.max_read_chunk, readsize * 2)
-            except EOFError:
-                if size > self.extrasize:
-                    size = self.extrasize
+            while size > self.extrasize:
+                if not self._read(readsize):
+                    if size > self.extrasize:
+                        size = self.extrasize
+                    break
+                readsize = min(self.max_read_chunk, readsize * 2)
 
         offset = self.offset - self.extrastart
         chunk = self.extrabuf[offset: offset + size]
@@ -277,7 +274,7 @@
 
     def _read(self, size=1024):
         if self.fileobj is None:
-            raise EOFError, "Reached EOF"
+            return False
 
         if self._new_member:
             # If the _new_member flag is set, we have to
@@ -288,7 +285,7 @@
             pos = self.fileobj.tell()   # Save current position
             self.fileobj.seek(0, 2)     # Seek to end of file
             if pos == self.fileobj.tell():
-                raise EOFError, "Reached EOF"
+                return False
             else:
                 self.fileobj.seek( pos ) # Return to original position
 
@@ -305,9 +302,10 @@
 
         if buf == "":
             uncompress = self.decompress.flush()
+            self.fileobj.seek(-len(self.decompress.unused_data), 1)
             self._read_eof()
             self._add_read_data( uncompress )
-            raise EOFError, 'Reached EOF'
+            return False
 
         uncompress = self.decompress.decompress(buf)
         self._add_read_data( uncompress )
@@ -317,13 +315,14 @@
             # so seek back to the start of the unused data, finish up
             # this member, and read a new gzip header.
             # (The number of bytes to seek back is the length of the unused
-            # data, minus 8 because _read_eof() will rewind a further 8 bytes)
-            self.fileobj.seek( -len(self.decompress.unused_data)+8, 1)
+            # data)
+            self.fileobj.seek(-len(self.decompress.unused_data), 1)
 
             # Check the CRC and file size, and set the flag so we read
             # a new member on the next call
             self._read_eof()
             self._new_member = True
+        return True
 
     def _add_read_data(self, data):
         self.crc = zlib.crc32(data, self.crc) & 0xffffffffL
@@ -334,14 +333,11 @@
         self.size = self.size + len(data)
 
     def _read_eof(self):
-        # We've read to the end of the file, so we have to rewind in order
-        # to reread the 8 bytes containing the CRC and the file size.
+        # We've read to the end of the file.
         # We check the that the computed CRC and size of the
         # uncompressed data matches the stored values.  Note that the size
         # stored is the true file size mod 2**32.
-        self.fileobj.seek(-8, 1)
-        crc32 = read32(self.fileobj)
-        isize = read32(self.fileobj)  # may exceed 2GB
+        crc32, isize = struct.unpack("<II", self._read_exact(8))
         if crc32 != self.crc:
             raise IOError("CRC check failed %s != %s" % (hex(crc32),
                                                          hex(self.crc)))