diff --git a/pyrtl/passes.py b/pyrtl/passes.py
index 6765ef47..e26d1af3 100644
--- a/pyrtl/passes.py
+++ b/pyrtl/passes.py
@@ -848,7 +848,7 @@ def arg(num):
     elif net.op == '^':
         all_1 = arg(0) & arg(1)
         all_0 = ~arg(0) & ~arg(1)
-        dest <<= all_0 & ~all_1
+        dest <<= ~all_0 & ~all_1
     elif net.op == 'n':
         dest <<= ~(arg(0) & arg(1))
     else:
diff --git a/tests/test_passes.py b/tests/test_passes.py
index f5dcbcd5..bdd66112 100644
--- a/tests/test_passes.py
+++ b/tests/test_passes.py
@@ -3,11 +3,11 @@
 import os
 import sys
 import unittest
+from typing import Callable
 
 import pyrtl
-from pyrtl.wire import Const, Output
 from pyrtl.rtllib import testingutils as utils
-
+from pyrtl.wire import Const, Output
 from .test_transform import NetWireNumTestCases
 
 
@@ -733,6 +733,87 @@ def test_nested_elimination(self):
         pyrtl.working_block().sanity_check()
 
 
+class TestSynthPasses(unittest.TestCase):
+    in0: pyrtl.Input
+    in1: pyrtl.Input
+    out: pyrtl.Output
+
+    def setUp(self):
+        pyrtl.reset_working_block()
+        self.in0 = pyrtl.Input(bitwidth=5, name='in0')
+        self.in1 = pyrtl.Input(bitwidth=5, name='in1')
+        self.out = pyrtl.Output(bitwidth=5, name='out')
+
+    def check_synth(self, operation: Callable[[int, int], int]):
+        """
+        Simulates the current circuit with some test input pairs (in0, in1) and checks the outputs
+        against the provided operation. Any synthesis/passes should be run before this gets called.
+
+        :param operation: The operation to test against. This should be a lambda taking an input
+            pair (in0, in1) and returning the expected output from this circuit.
+        """
+        sim_trace = pyrtl.SimulationTrace()
+        sim = pyrtl.Simulation(tracer=sim_trace)
+
+        values = [(1, 2), (4, 5), (7, 11)]
+        """A list of input pairs (in0, in1) to test on."""
+
+        for in0, in1 in values:
+            expected_output = operation(in0, in1)
+            sim.step({'in0': in0, 'in1': in1})
+            # compare simulation output to expected output
+            self.assertEqual(sim.inspect('out'), expected_output,
+                             msg=f"Failed on inputs {in0} and {in1}")
+
+    def test_nand_synth_and(self):
+        self.out <<= self.in0 & self.in1
+        pyrtl.synthesize()
+        pyrtl.nand_synth()
+        self.check_synth(lambda a, b: a & b)
+
+    def test_nand_synth_or(self):
+        self.out <<= self.in0 | self.in1
+        pyrtl.synthesize()
+        pyrtl.nand_synth()
+        self.check_synth(lambda a, b: a | b)
+
+    def test_nand_synth_xor(self):
+        self.out <<= self.in0 ^ self.in1
+        pyrtl.synthesize()
+        pyrtl.nand_synth()
+        self.check_synth(lambda a, b: a ^ b)
+
+    def test_nand_synth_adder(self):
+        self.out <<= self.in0 + self.in1
+        pyrtl.synthesize()
+        pyrtl.nand_synth()
+        self.check_synth(lambda a, b: a + b)
+
+    def test_and_inverter_synth_and(self):
+        self.out <<= self.in0 & self.in1
+        pyrtl.synthesize()
+        pyrtl.and_inverter_synth()
+        self.check_synth(lambda a, b: a & b)
+
+    def test_and_inverter_synth_or(self):
+        self.out <<= self.in0 | self.in1
+        pyrtl.synthesize()
+        pyrtl.and_inverter_synth()
+        self.check_synth(lambda a, b: a | b)
+
+    def test_and_inverter_synth_xor(self):
+        self.out <<= self.in0 ^ self.in1
+        pyrtl.synthesize()
+        pyrtl.and_inverter_synth()
+        self.check_synth(lambda a, b: a ^ b)
+
+    def test_and_inverter_synth_adder(self):
+        self.out <<= self.in0 + self.in1
+        pyrtl.synthesize()
+        pyrtl.and_inverter_synth()
+        self.check_synth(lambda a, b: a + b)
+
+
 class TestSynthOptTiming(NetWireNumTestCases):
     def setUp(self):
         pyrtl.reset_working_block()