diff --git a/Compiler/GC/types.py b/Compiler/GC/types.py
index 94d520825..13619c7f9 100644
--- a/Compiler/GC/types.py
+++ b/Compiler/GC/types.py
@@ -811,7 +811,7 @@ def n_bits(self):
     def store_in_mem(self, address):
         for i, x in enumerate(self.elements()):
             x.store_in_mem(address + i)
-    def bit_decompose(self, n_bits=None, security=None):
+    def bit_decompose(self, n_bits=None, security=None, maybe_mixed=None):
         return self.v[:n_bits]
     bit_compose = from_vec
     def reveal(self):
@@ -1267,6 +1267,9 @@ class sbitfixvec(_fix):
     int_type = sbitintvec.get_type(sbitfix.k)
     float_type = type(None)
     clear_type = cbitfix
+    @property
+    def bit_type(self):
+        return type(self.v[0])
     @classmethod
     def set_precision(cls, f, k=None):
         super(sbitfixvec, cls).set_precision(f=f, k=k)
@@ -1284,6 +1287,8 @@ def __init__(self, value=None, *args, **kwargs):
         if isinstance(value, (list, tuple)):
             self.v = self.int_type.from_vec(sbitvec([x.v for x in value]))
         else:
+            if isinstance(value, sbitvec):
+                value = self.int_type(value)
             super(sbitfixvec, self).__init__(value, *args, **kwargs)
     def elements(self):
         return [sbitfix._new(x, f=self.f, k=self.k) for x in self.v.elements()]
@@ -1293,9 +1298,12 @@ def mul(self, other):
         else:
             return super(sbitfixvec, self).mul(other)
     def __xor__(self, other):
+        if util.is_zero(other):
+            return self
         return self._new(self.v ^ other.v)
     def __and__(self, other):
         return self._new(self.v & other.v)
+    __rxor__ = __xor__
     @staticmethod
     def multipliable(other, k, f, size):
         class cls(_fix):
diff --git a/Compiler/mpc_math.py b/Compiler/mpc_math.py
index 322989b34..47253dc43 100644
--- a/Compiler/mpc_math.py
+++ b/Compiler/mpc_math.py
@@ -290,7 +290,7 @@ class my_fix(type(a)):
     # how many bits to use from integer part
     n_int_bits = int(math.ceil(math.log(a.k - a.f, 2)))
     n_bits = a.f + n_int_bits
-    sint = types.sint
+    sint = a.int_type
     if types.program.options.ring and not as19:
         intbitint = types.intbitint
         n_shift = int(types.program.options.ring) - a.k
@@ -367,17 +367,17 @@ class my_fix(type(a)):
         bits = a.v.bit_decompose(a.k, maybe_mixed=True)
         lower = sint.bit_compose(bits[:a.f])
         higher_bits = bits[a.f:n_bits]
-        s = sint.conv(bits[-1])
+        s = a.bit_type.conv(bits[-1])
         bits_to_check = bits[n_bits:-1]
     if not as19:
-        c = types.sfix._new(lower, k=a.k, f=a.f)
+        c = a._new(lower, k=a.k, f=a.f)
         assert(len(higher_bits) == n_bits - a.f)
         pow2_bits = [sint.conv(x) for x in higher_bits]
         d = floatingpoint.Pow2_from_bits(pow2_bits)
         g = exp_from_parts(d, c)
-        small_result = types.sfix._new(g.v.round(a.f + 2 ** n_int_bits,
+        small_result = a._new(g.v.round(a.f + 2 ** n_int_bits,
                                             2 ** n_int_bits, signed=False,
-                                            nearest=types.sfix.round_nearest),
+                                            nearest=a.round_nearest),
                                        k=a.k, f=a.f)
         if zero_output:
             t = sint.conv(floatingpoint.KOpL(lambda x, y: x.bit_and(y),
diff --git a/Compiler/types.py b/Compiler/types.py
index 3fdc6cf05..0063fdc16 100644
--- a/Compiler/types.py
+++ b/Compiler/types.py
@@ -4274,6 +4274,7 @@ class sfix(_fix):
     :params _v: int/float/regint/cint/sint/sfloat
     """
     int_type = sint
+    bit_type = sintbit
     clear_type = cfix
 
     @vectorized_classmethod