diff --git a/Lib/decimal.py b/Lib/decimal.py
index b44c3f5..3450066 100644
--- a/Lib/decimal.py
+++ b/Lib/decimal.py
@@ -2806,6 +2806,8 @@
         value. Note that a total ordering is defined for all possible abstract
         representations.
         """
+        other = _convert_other(other, raiseit=True)
+
         # if one is negative and the other is positive, it's easy
         if self._sign and not other._sign:
             return _NegativeOne
@@ -2875,6 +2877,8 @@
 
         Like compare_total, but with operand's sign ignored and assumed to be 0.
         """
+        other = _convert_other(other, raiseit=True)
+
         s = self.copy_abs()
         o = other.copy_abs()
         return s.compare_total(o)
@@ -3243,6 +3247,9 @@
         """Applies an 'and' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3264,6 +3271,9 @@
         """Applies an 'or' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3278,6 +3288,9 @@
         """Applies an 'xor' operation between self and other's digits."""
         if context is None:
             context = getcontext()
+
+        other = _convert_other(other, raiseit=True)
+
         if not self._islogical() or not other._islogical():
             return context._raise_error(InvalidOperation)
 
@@ -3491,6 +3504,8 @@
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
@@ -3507,19 +3522,23 @@
         torot = int(other)
         rotdig = self._int
         topad = context.prec - len(rotdig)
-        if topad:
+        if topad > 0:
             rotdig = '0'*topad + rotdig
+        elif topad < 0:
+            rotdig = rotdig[-topad:]
 
         # let's rotate!
         rotated = rotdig[torot:] + rotdig[:torot]
         return _dec_from_triple(self._sign,
                                 rotated.lstrip('0') or '0', self._exp)
 
-    def scaleb (self, other, context=None):
+    def scaleb(self, other, context=None):
         """Returns self operand after adding the second value to its exp."""
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
@@ -3543,6 +3562,8 @@
         if context is None:
             context = getcontext()
 
+        other = _convert_other(other, raiseit=True)
+
         ans = self._check_nans(other, context)
         if ans:
             return ans
@@ -3557,22 +3578,22 @@
 
         # get values, pad if necessary
         torot = int(other)
-        if not torot:
-            return Decimal(self)
         rotdig = self._int
         topad = context.prec - len(rotdig)
-        if topad:
+        if topad > 0:
             rotdig = '0'*topad + rotdig
+        elif topad < 0:
+            rotdig = rotdig[-topad:]
 
         # let's shift!
         if torot < 0:
-            rotated = rotdig[:torot]
+            shifted = rotdig[:torot]
         else:
-            rotated = rotdig + '0'*torot
-            rotated = rotated[-context.prec:]
+            shifted = rotdig + '0'*torot
+            shifted = shifted[-context.prec:]
 
         return _dec_from_triple(self._sign,
-                                    rotated.lstrip('0') or '0', self._exp)
+                                    shifted.lstrip('0') or '0', self._exp)
 
     # Support for pickling, copy, and deepcopy
     def __reduce__(self):
diff --git a/Lib/test/decimaltestdata/extra.decTest b/Lib/test/decimaltestdata/extra.decTest
index 15c1b52..2640842 100644
--- a/Lib/test/decimaltestdata/extra.decTest
+++ b/Lib/test/decimaltestdata/extra.decTest
@@ -154,22 +154,6 @@
 extr1302 fma 0E123 -Inf sNaN789 -> NaN Invalid_operation
 extr1302 fma -Inf 0E-456 sNaN148 -> NaN Invalid_operation
 
--- Issue #6794: when comparing NaNs using compare_total, payloads
--- should be compared as though positive integers; not
--- lexicographically as strings.
-extr1400 comparetotal NaN123 NaN45 -> 1
-extr1401 comparetotal sNaN123 sNaN45 -> 1
-extr1402 comparetotal -NaN123 -NaN45 -> -1
-extr1403 comparetotal -sNaN123 -sNaN45 -> -1
-extr1404 comparetotal NaN45 NaN123 -> -1
-extr1405 comparetotal sNaN45 sNaN123 -> -1
-extr1406 comparetotal -NaN45 -NaN123 -> 1
-extr1407 comparetotal -sNaN45 -sNaN123 -> 1
-
-extr1410 comparetotal -sNaN63450748854172416 -sNaN911993 -> -1
-extr1411 comparetotmag NaN1222222222222 -NaN999999 -> 1
-
-
 -- max/min/max_mag/min_mag bug in 2.5.2/2.6/3.0: max(NaN, finite) gave
 -- incorrect answers when the finite number required rounding; similarly
 -- for the other thre functions
@@ -187,6 +171,50 @@
 extr1430 min_mag 9181716151 -NaN -> 9.18172E+9 Inexact Rounded
 extr1431 min_mag NaN4 1.818180E100 -> 1.81818E+100 Rounded
 
+-- Issue #6794: when comparing NaNs using compare_total, payloads
+-- should be compared as though positive integers; not
+-- lexicographically as strings.
+extr1500 comparetotal NaN123 NaN45 -> 1
+extr1501 comparetotal sNaN123 sNaN45 -> 1
+extr1502 comparetotal -NaN123 -NaN45 -> -1
+extr1503 comparetotal -sNaN123 -sNaN45 -> -1
+extr1504 comparetotal NaN45 NaN123 -> -1
+extr1505 comparetotal sNaN45 sNaN123 -> -1
+extr1506 comparetotal -NaN45 -NaN123 -> 1
+extr1507 comparetotal -sNaN45 -sNaN123 -> 1
+
+extr1510 comparetotal -sNaN63450748854172416 -sNaN911993 -> -1
+extr1511 comparetotmag NaN1222222222222 -NaN999999 -> 1
+
+-- Issue #7233: rotate and scale should truncate an argument
+-- of length greater than the current precision.
+precision: 4
+extr1600 rotate 1234567 -5 -> NaN Invalid_operation
+extr1601 rotate 1234567 -4 -> 4567
+extr1602 rotate 1234567 -3 -> 5674
+extr1603 rotate 1234567 -2 -> 6745
+extr1604 rotate 1234567 -1 -> 7456
+extr1605 rotate 1234567 0 -> 4567
+extr1606 rotate 1234567 1 -> 5674
+extr1607 rotate 1234567 2 -> 6745
+extr1608 rotate 1234567 3 -> 7456
+extr1609 rotate 1234567 4 -> 4567
+extr1610 rotate 1234567 5 -> NaN Invalid_operation
+
+extr1650 shift 1234567 -5 -> NaN Invalid_operation
+extr1651 shift 1234567 -4 -> 0
+extr1652 shift 1234567 -3 -> 4
+extr1653 shift 1234567 -2 -> 45
+extr1654 shift 1234567 -1 -> 456
+extr1655 shift 1234567 0 -> 4567
+extr1656 shift 1234567 1 -> 5670
+extr1657 shift 1234567 2 -> 6700
+extr1658 shift 1234567 3 -> 7000
+extr1659 shift 1234567 4 -> 0
+extr1660 shift 1234567 5 -> NaN Invalid_operation
+
+
+
 -- Tests for the is_* boolean operations
 precision: 9
 maxExponent: 999
diff --git a/Lib/test/test_decimal.py b/Lib/test/test_decimal.py
index 4bf9d3a..bf7d3b2 100644
--- a/Lib/test/test_decimal.py
+++ b/Lib/test/test_decimal.py
@@ -1529,6 +1529,53 @@
         self.assertEqual(str(Decimal(0).sqrt()),
                          str(c.sqrt(Decimal(0))))
 
+    def test_conversions_from_int(self):
+        # Check that methods taking a second Decimal argument will
+        # always accept an integer in place of a Decimal.
+        self.assertEqual(Decimal(4).compare(3),
+                         Decimal(4).compare(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_signal(3),
+                         Decimal(4).compare_signal(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_total(3),
+                         Decimal(4).compare_total(Decimal(3)))
+        self.assertEqual(Decimal(4).compare_total_mag(3),
+                         Decimal(4).compare_total_mag(Decimal(3)))
+        self.assertEqual(Decimal(10101).logical_and(1001),
+                         Decimal(10101).logical_and(Decimal(1001)))
+        self.assertEqual(Decimal(10101).logical_or(1001),
+                         Decimal(10101).logical_or(Decimal(1001)))
+        self.assertEqual(Decimal(10101).logical_xor(1001),
+                         Decimal(10101).logical_xor(Decimal(1001)))
+        self.assertEqual(Decimal(567).max(123),
+                         Decimal(567).max(Decimal(123)))
+        self.assertEqual(Decimal(567).max_mag(123),
+                         Decimal(567).max_mag(Decimal(123)))
+        self.assertEqual(Decimal(567).min(123),
+                         Decimal(567).min(Decimal(123)))
+        self.assertEqual(Decimal(567).min_mag(123),
+                         Decimal(567).min_mag(Decimal(123)))
+        self.assertEqual(Decimal(567).next_toward(123),
+                         Decimal(567).next_toward(Decimal(123)))
+        self.assertEqual(Decimal(1234).quantize(100),
+                         Decimal(1234).quantize(Decimal(100)))
+        self.assertEqual(Decimal(768).remainder_near(1234),
+                         Decimal(768).remainder_near(Decimal(1234)))
+        self.assertEqual(Decimal(123).rotate(1),
+                         Decimal(123).rotate(Decimal(1)))
+        self.assertEqual(Decimal(1234).same_quantum(1000),
+                         Decimal(1234).same_quantum(Decimal(1000)))
+        self.assertEqual(Decimal('9.123').scaleb(-100),
+                         Decimal('9.123').scaleb(Decimal(-100)))
+        self.assertEqual(Decimal(456).shift(-1),
+                         Decimal(456).shift(Decimal(-1)))
+
+        self.assertEqual(Decimal(-12).fma(Decimal(45), 67),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+        self.assertEqual(Decimal(-12).fma(45, 67),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+        self.assertEqual(Decimal(-12).fma(45, Decimal(67)),
+                         Decimal(-12).fma(Decimal(45), Decimal(67)))
+
 
 class DecimalPythonAPItests(unittest.TestCase):