diff --git a/connector/docker-integration-tests/src/test/scala/org/apache/spark/sql/jdbc/v2/PostgresIntegrationSuite.scala b/connector/docker-integration-tests/src/test/scala/org/apache/spark/sql/jdbc/v2/PostgresIntegrationSuite.scala
index ce79618a011c..fdd4a72bbbcf 100644
--- a/connector/docker-integration-tests/src/test/scala/org/apache/spark/sql/jdbc/v2/PostgresIntegrationSuite.scala
+++ b/connector/docker-integration-tests/src/test/scala/org/apache/spark/sql/jdbc/v2/PostgresIntegrationSuite.scala
@@ -22,6 +22,7 @@ import java.sql.Connection
 import org.apache.spark.{SparkConf, SparkSQLException}
 import org.apache.spark.sql.AnalysisException
 import org.apache.spark.sql.catalyst.analysis.TableAlreadyExistsException
+import org.apache.spark.sql.execution.FilterExec
 import org.apache.spark.sql.execution.datasources.v2.jdbc.JDBCTableCatalog
 import org.apache.spark.sql.jdbc.DatabaseOnDocker
 import org.apache.spark.sql.types._
@@ -252,6 +253,15 @@ class PostgresIntegrationSuite extends DockerJDBCIntegrationV2Suite with V2JDBCT
     }
   }
 
+  test("SPARK-49695: Postgres fix xor push-down") {
+    val df = spark.sql(s"select dept, name from $catalogName.employee where dept ^ 6 = 0")
+    val rows = df.collect()
+    assert(!df.queryExecution.sparkPlan.exists(_.isInstanceOf[FilterExec]))
+    assert(rows.length == 1)
+    assert(rows(0).getInt(0) === 6)
+    assert(rows(0).getString(1) === "jen")
+  }
+
   override def testDatetime(tbl: String): Unit = {
     val df1 = sql(s"SELECT name FROM $tbl WHERE " +
       "dayofyear(date1) > 100 AND dayofmonth(date1) > 10 ")
diff --git a/sql/core/src/main/scala/org/apache/spark/sql/jdbc/PostgresDialect.scala b/sql/core/src/main/scala/org/apache/spark/sql/jdbc/PostgresDialect.scala
index bce9c6704278..c1b79f801741 100644
--- a/sql/core/src/main/scala/org/apache/spark/sql/jdbc/PostgresDialect.scala
+++ b/sql/core/src/main/scala/org/apache/spark/sql/jdbc/PostgresDialect.scala
@@ -310,6 +310,10 @@ private case class PostgresDialect()
         case _ => super.visitExtract(field, source)
       }
     }
+
+    override def visitBinaryArithmetic(name: String, l: String, r: String): String = {
+      l + " " + name.replace('^', '#') + " " + r
+    }
   }
 
   override def compileExpression(expr: Expression): Option[String] = {