diff --git a/dbms/src/Functions/FunctionsLogical.h b/dbms/src/Functions/FunctionsLogical.h
index 0adfd699b7e..ef508ced229 100644
--- a/dbms/src/Functions/FunctionsLogical.h
+++ b/dbms/src/Functions/FunctionsLogical.h
@@ -151,7 +151,7 @@ struct NotImpl
 {
     using ResultType = UInt8;
 
-    static inline UInt8 apply(A a)
+    static inline bool apply(A a)
     {
         return !a;
     }
@@ -194,7 +194,7 @@ struct AssociativeOperationImpl
     {}
 
     /// Returns a combination of values in the i-th row of all columns stored in the constructor.
-    inline UInt8 apply(size_t i) const
+    inline bool apply(size_t i) const
     {
         if (Op::isSaturable())
         {
@@ -238,7 +238,7 @@ struct AssociativeOperationImpl<Op, 1>
         : vec(in[in.size() - 1]->getData())
     {}
 
-    inline UInt8 apply(size_t i) const
+    inline bool apply(size_t i) const
     {
         return vec[i];
     }
diff --git a/dbms/src/Functions/tests/gtest_logical.cpp b/dbms/src/Functions/tests/gtest_logical.cpp
index a5bde6ccd2d..b4e9fb7541f 100644
--- a/dbms/src/Functions/tests/gtest_logical.cpp
+++ b/dbms/src/Functions/tests/gtest_logical.cpp
@@ -58,6 +58,20 @@ try
             func_name,
             createOnlyNullColumnConst(2),
             createColumn<Nullable<UInt8>>({1, 0})));
+    // issue 6127
+    ASSERT_COLUMN_EQ(
+        createColumn<UInt8>({0, 1, 0, 0}),
+        executeFunction(
+            func_name,
+            createColumn<Int64>({0, 123, 0, 41}),
+            createColumn<UInt8>({0, 11, 221, 0})));
+    // issue 6127, position of UInt8 column may affect the result
+    ASSERT_COLUMN_EQ(
+        createColumn<UInt8>({0, 1, 0, 0}),
+        executeFunction(
+            func_name,
+            createColumn<UInt8>({0, 123, 0, 41}),
+            createColumn<Int64>({0, 11, 221, 0})));
 }
 CATCH
 
@@ -73,13 +87,6 @@ try
             func_name,
             createColumn<Nullable<UInt8>>({0, 1, 0, 1, {}, 0}),
             createColumn<Nullable<UInt8>>({0, 1, 1, 0, 1, {}})));
-    // issue 5849
-    ASSERT_COLUMN_EQ(
-        createColumn<UInt8>({0, 1, 1, 1}),
-        executeFunction(
-            func_name,
-            createColumn<UInt8>({0, 123, 0, 41}),
-            createColumn<Int64>({0, 11, 221, 0})));
     // column, const
     ASSERT_COLUMN_EQ(
         createColumn<Nullable<UInt8>>({1, 1}),
@@ -101,6 +108,13 @@ try
             func_name,
             createOnlyNullColumnConst(2),
             createColumn<Nullable<UInt8>>({1, 0})));
+    // issue 5849
+    ASSERT_COLUMN_EQ(
+        createColumn<UInt8>({0, 1, 1, 1}),
+        executeFunction(
+            func_name,
+            createColumn<UInt8>({0, 123, 0, 41}),
+            createColumn<Int64>({0, 11, 221, 0})));
 }
 CATCH