diff --git a/src/Functions/bitShiftLeft.cpp b/src/Functions/bitShiftLeft.cpp
index d561430d51f..7fd0f7cf631 100644
--- a/src/Functions/bitShiftLeft.cpp
+++ b/src/Functions/bitShiftLeft.cpp
@@ -25,8 +25,10 @@ struct BitShiftLeftImpl
     {
         if constexpr (is_big_int_v<B>)
             throw Exception(ErrorCodes::NOT_IMPLEMENTED, "BitShiftLeft is not implemented for big integers as second argument");
-        else if (b < 0 || static_cast<UInt256>(b) > 8 * sizeof(A))
-            throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
+        else if (b < 0)
+            throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+        else if (static_cast<UInt256>(b) > 8 * sizeof(A))
+            return static_cast<Result>(0);
         else if constexpr (is_big_int_v<A>)
             return static_cast<Result>(a) << static_cast<UInt32>(b);
         else
@@ -43,9 +45,10 @@ struct BitShiftLeftImpl
             const UInt8 word_size = 8 * sizeof(*pos);
             size_t n = end - pos;
             const UInt128 bit_limit = static_cast<UInt128>(word_size) * n;
-            if (b < 0 || static_cast<decltype(bit_limit)>(b) > bit_limit)
-                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
-            else if (b == bit_limit)
+            if (b < 0)
+                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+
+            if (b == bit_limit || static_cast<decltype(bit_limit)>(b) > bit_limit)
             {
                 // insert default value
                 out_vec.push_back(0);
@@ -111,9 +114,10 @@ struct BitShiftLeftImpl
             const UInt8 word_size = 8;
             size_t n = end - pos;
             const UInt128 bit_limit = static_cast<UInt128>(word_size) * n;
-            if (b < 0 || static_cast<decltype(bit_limit)>(b) > bit_limit)
-                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
-            else if (b == bit_limit)
+            if (b < 0)
+                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+
+            if (b == bit_limit || static_cast<decltype(bit_limit)>(b) > bit_limit)
             {
                 // insert default value
                 out_vec.resize_fill(out_vec.size() + n);
diff --git a/src/Functions/bitShiftRight.cpp b/src/Functions/bitShiftRight.cpp
index 05b8581c792..19ea7b8c751 100644
--- a/src/Functions/bitShiftRight.cpp
+++ b/src/Functions/bitShiftRight.cpp
@@ -26,8 +26,10 @@ struct BitShiftRightImpl
     {
         if constexpr (is_big_int_v<B>)
             throw Exception(ErrorCodes::NOT_IMPLEMENTED, "BitShiftRight is not implemented for big integers as second argument");
-        else if (b < 0 || static_cast<UInt256>(b) > 8 * sizeof(A))
-            throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
+        else if (b < 0)
+            throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+        else if (static_cast<UInt256>(b) > 8 * sizeof(A))
+            return static_cast<Result>(0);
         else if constexpr (is_big_int_v<A>)
             return static_cast<Result>(a) >> static_cast<UInt32>(b);
         else
@@ -59,9 +61,10 @@ struct BitShiftRightImpl
             const UInt8 word_size = 8;
             size_t n = end - pos;
             const UInt128 bit_limit = static_cast<UInt128>(word_size) * n;
-            if (b < 0 || static_cast<decltype(bit_limit)>(b) > bit_limit)
-                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
-            else if (b == bit_limit)
+            if (b < 0)
+                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+
+            if (b == bit_limit || static_cast<decltype(bit_limit)>(b) > bit_limit)
             {
                 /// insert default value
                 out_vec.push_back(0);
@@ -99,9 +102,10 @@ struct BitShiftRightImpl
             const UInt8 word_size = 8;
             size_t n = end - pos;
             const UInt128 bit_limit = static_cast<UInt128>(word_size) * n;
-            if (b < 0 || static_cast<decltype(bit_limit)>(b) > bit_limit)
-                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value and less or equal to the bit width of the value to shift");
-            else if (b == bit_limit)
+            if (b < 0)
+                throw Exception(ErrorCodes::ARGUMENT_OUT_OF_BOUND, "The number of shift positions needs to be a non-negative value");
+
+            if (b == bit_limit || static_cast<decltype(bit_limit)>(b) > bit_limit)
             {
                 // insert default value
                 out_vec.resize_fill(out_vec.size() + n);
diff --git a/tests/queries/0_stateless/02766_bitshift_with_const_arguments.sql b/tests/queries/0_stateless/02766_bitshift_with_const_arguments.sql
index 91e8624057c..6b2961f0555 100644
--- a/tests/queries/0_stateless/02766_bitshift_with_const_arguments.sql
+++ b/tests/queries/0_stateless/02766_bitshift_with_const_arguments.sql
@@ -10,7 +10,7 @@ DROP TABLE IF EXISTS t1;
 CREATE TABLE t0 (vkey UInt32, pkey UInt32, c0 UInt32) engine = TinyLog;
 CREATE TABLE t1 (vkey UInt32) ENGINE = AggregatingMergeTree  ORDER BY vkey;
 INSERT INTO t0 VALUES (15, 25000, 58);
-SELECT ref_5.pkey AS c_2_c2392_6 FROM t0 AS ref_5 WHERE 'J[' < multiIf(ref_5.pkey IN ( SELECT 1 ), bitShiftLeft(multiIf(ref_5.c0 > NULL, '1', ')'), 40), NULL); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT ref_5.pkey AS c_2_c2392_6 FROM t0 AS ref_5 WHERE 'J[' < multiIf(ref_5.pkey IN ( SELECT 1 ), bitShiftLeft(multiIf(ref_5.c0 > NULL, '1', ')'), 40), NULL);
 DROP TABLE t0;
 DROP TABLE t1;
 
diff --git a/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.reference b/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.reference
index 33b8cd6ee26..1fda82a9747 100644
--- a/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.reference
+++ b/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.reference
@@ -1,3 +1,9 @@
 -- bitShiftRight
+0
+
+\0\0\0\0\0\0\0\0
 -- bitShiftLeft
+0
+
+\0\0\0\0\0\0\0\0
 OK
diff --git a/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.sql b/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.sql
index aec01753673..340cc1292e4 100644
--- a/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.sql
+++ b/tests/queries/0_stateless/03198_bit_shift_throws_error_for_out_of_bounds.sql
@@ -1,17 +1,17 @@
 SELECT '-- bitShiftRight';
 SELECT bitShiftRight(1, -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftRight(toUInt8(1), 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftRight(toUInt8(1), 8 + 1);
 SELECT bitShiftRight('hola', -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftRight('hola', 4 * 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftRight('hola', 4 * 8 + 1);
 SELECT bitShiftRight(toFixedString('hola', 8), -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftRight(toFixedString('hola', 8),  8 * 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftRight(toFixedString('hola', 8),  8 * 8 + 1);
 
 SELECT '-- bitShiftLeft';
 SELECT bitShiftLeft(1, -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftLeft(toUInt8(1), 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftLeft(toUInt8(1), 8 + 1);
 SELECT bitShiftLeft('hola', -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftLeft('hola', 4 * 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftLeft('hola', 4 * 8 + 1);
 SELECT bitShiftLeft(toFixedString('hola', 8), -1); -- { serverError ARGUMENT_OUT_OF_BOUND }
-SELECT bitShiftLeft(toFixedString('hola', 8),  8 * 8 + 1); -- { serverError ARGUMENT_OUT_OF_BOUND }
+SELECT bitShiftLeft(toFixedString('hola', 8),  8 * 8 + 1);
 
 SELECT 'OK';
\ No newline at end of file