diff --git a/src/framework/operations.hpp b/src/framework/operations.hpp
index dc4cbb5b06..2f6a79adf6 100644
--- a/src/framework/operations.hpp
+++ b/src/framework/operations.hpp
@@ -270,9 +270,6 @@ class BinaryExpr : public CExpr {
     case BinaryOp::BitAnd:
     case BinaryOp::BitOr:
     case BinaryOp::BitXor:
-      if (left->type->type != ValueType::Uint)
-        throw std::invalid_argument(
-            R"(bit operation allows only for uint expressions.)");
       break;
     case BinaryOp::LogicAnd:
     case BinaryOp::LogicOr:
@@ -299,10 +296,20 @@ class BinaryExpr : public CExpr {
   virtual bool eval_bool(const std::string &memory) {
     switch (op) {
     case BinaryOp::BitAnd:
+      if (left->type->type == ValueType::Uint)
+        return eval_uint(memory) != 0;
+      else
+        return left->eval_bool(memory) && right->eval_bool(memory);
     case BinaryOp::BitOr:
+      if (left->type->type == ValueType::Uint)
+        return eval_uint(memory) != 0;
+      else
+        return left->eval_bool(memory) || right->eval_bool(memory);
     case BinaryOp::BitXor:
-      throw std::invalid_argument(
-          R"(eval_bool is called for Bit* binary expression.)");
+      if (left->type->type == ValueType::Uint)
+        return eval_uint(memory) != 0;
+      else
+        return left->eval_bool(memory) ^ right->eval_bool(memory);
     case BinaryOp::LogicAnd:
       return left->eval_bool(memory) && right->eval_bool(memory);
     case BinaryOp::LogicOr:
diff --git a/test/terra/backends/aer_simulator/test_control_flow.py b/test/terra/backends/aer_simulator/test_control_flow.py
index a9ef52c198..89a8b07713 100644
--- a/test/terra/backends/aer_simulator/test_control_flow.py
+++ b/test/terra/backends/aer_simulator/test_control_flow.py
@@ -1100,3 +1100,90 @@ def test_while_expr_loop_break(self, method):
         counts = result.get_counts()
         self.assertEqual(len(counts), 1)
         self.assertIn("1 1", counts)
+
+    @data("statevector", "density_matrix", "matrix_product_state", "stabilizer")
+    def test_bit_and_operation(self, method):
+        """test bit-and operation"""
+        qr = QuantumRegister(7)
+        cr = ClassicalRegister(7)
+        qc = QuantumCircuit(qr, cr)
+        qc.x(0)
+        qc.x(2)
+        qc.measure(range(4), range(4))  # 0101
+        qc.barrier()
+        b01 = expr.bit_and(cr[0], cr[1])  # 1 & 0 -> 0
+        with qc.if_test(b01):
+            qc.x(4)  # q4 -> 0
+
+        b02 = expr.bit_and(cr[0], cr[2])  # 1 & 1 -> 1
+        with qc.if_test(b02):
+            qc.x(5)  # q5 -> 0
+
+        b13 = expr.bit_and(cr[1], cr[3])  # 0 & 0 -> 0
+        with qc.if_test(b13):
+            qc.x(6)  # q6 -> 0
+
+        qc.measure(range(7), range(7))  # 0100101
+
+        backend = self.backend(method=method)
+        counts = backend.run(qc).result().get_counts()
+        self.assertEqual(len(counts), 1)
+        self.assertIn("0100101", counts)
+
+    @data("statevector", "density_matrix", "matrix_product_state", "stabilizer")
+    def test_bit_or_operation(self, method):
+        """test bit-or operation"""
+        qr = QuantumRegister(7)
+        cr = ClassicalRegister(7)
+        qc = QuantumCircuit(qr, cr)
+        qc.x(0)
+        qc.x(2)
+        qc.measure(range(4), range(4))  # 0101
+        qc.barrier()
+        b01 = expr.bit_or(cr[0], cr[1])  # 1 & 0 -> 1
+        with qc.if_test(b01):
+            qc.x(4)  # q4 -> 1
+
+        b02 = expr.bit_or(cr[0], cr[2])  # 1 & 1 -> 1
+        with qc.if_test(b02):
+            qc.x(5)  # q5 -> 0
+
+        b13 = expr.bit_or(cr[1], cr[3])  # 0 & 0 -> 0
+        with qc.if_test(b13):
+            qc.x(6)  # q6 -> 0
+
+        qc.measure(range(7), range(7))  # 0110101
+
+        backend = self.backend(method=method)
+        counts = backend.run(qc).result().get_counts()
+        self.assertEqual(len(counts), 1)
+        self.assertIn("0110101", counts)
+
+    @data("statevector", "density_matrix", "matrix_product_state", "stabilizer")
+    def test_bit_xor_operation(self, method):
+        """test bit-or operation"""
+        qr = QuantumRegister(7)
+        cr = ClassicalRegister(7)
+        qc = QuantumCircuit(qr, cr)
+        qc.x(0)
+        qc.x(2)
+        qc.measure(range(4), range(4))  # 0101
+        qc.barrier()
+        b01 = expr.bit_xor(cr[0], cr[1])  # 1 & 0 -> 1
+        with qc.if_test(b01):
+            qc.x(4)  # q4 -> 1
+
+        b02 = expr.bit_xor(cr[0], cr[2])  # 1 & 1 -> 0
+        with qc.if_test(b02):
+            qc.x(5)  # q5 -> 0
+
+        b13 = expr.bit_xor(cr[1], cr[3])  # 0 & 0 -> 0
+        with qc.if_test(b13):
+            qc.x(6)  # q6 -> 0
+
+        qc.measure(range(7), range(7))  # 0010101
+
+        backend = self.backend(method=method)
+        counts = backend.run(qc).result().get_counts()
+        self.assertEqual(len(counts), 1)
+        self.assertIn("0010101", counts)
diff --git a/test/terra/expression/test_classical_expressions.py b/test/terra/expression/test_classical_expressions.py
index 32847579d4..fee05f7a6f 100644
--- a/test/terra/expression/test_classical_expressions.py
+++ b/test/terra/expression/test_classical_expressions.py
@@ -353,12 +353,19 @@ def test_binary_expression(self):
             True,
         )
 
-        # (False & True): error
+        # (False & True): Uint -> error
         try:
-            AerBinaryExpr(AerBinaryOp.BitAnd, AerBoolValue(False), AerBoolValue(True))
+            AerBinaryExpr(AerBinaryOp.BitAnd, AerBoolValue(False), AerBoolValue(True)).eval_uint("")
             self.fail("do not reach here")
         except Exception:
             pass
+        # (False & True) = False
+        self.assertEqual(
+            AerBinaryExpr(AerBinaryOp.BitAnd, AerBoolValue(False), AerBoolValue(True)).eval_bool(
+                ""
+            ),
+            False,
+        )
         # (0b001 & 0b001) = 0b001
         self.assertEqual(
             AerBinaryExpr(