diff --git a/velox/functions/prestosql/BinaryFunctions.h b/velox/functions/prestosql/BinaryFunctions.h
index ce153ee349fc..c9495daff1bb 100644
--- a/velox/functions/prestosql/BinaryFunctions.h
+++ b/velox/functions/prestosql/BinaryFunctions.h
@@ -388,7 +388,11 @@ struct ToIEEE754Bits64 {
       out_type<Varbinary>& result,
       const arg_type<double>& input) {
     static constexpr auto kTypeLength = sizeof(int64_t);
-    auto value = folly::Endian::big(input);
+    // Since we consider NaNs with different binary representation as equal, we
+    // normalize them to a single value to ensure the output is equal too.
+    auto value = std::isnan(input)
+        ? folly::Endian::big(std::numeric_limits<double>::quiet_NaN())
+        : folly::Endian::big(input);
     result.setNoCopy(
         StringView(reinterpret_cast<const char*>(&value), kTypeLength));
   }
@@ -416,7 +420,11 @@ struct ToIEEE754Bits32 {
       out_type<Varbinary>& result,
       const arg_type<float>& input) {
     static constexpr auto kTypeLength = sizeof(int32_t);
-    auto value = folly::Endian::big(input);
+    // Since we consider NaNs with different binary representation as equal, we
+    // normalize them to a single value to ensure the output is equal too.
+    auto value = std::isnan(input)
+        ? folly::Endian::big(std::numeric_limits<float>::quiet_NaN())
+        : folly::Endian::big(input);
     result.setNoCopy(
         StringView(reinterpret_cast<const char*>(&value), kTypeLength));
   }
diff --git a/velox/functions/prestosql/tests/BinaryFunctionsTest.cpp b/velox/functions/prestosql/tests/BinaryFunctionsTest.cpp
index 2ce20c3f58e2..18fb0b8b9a10 100644
--- a/velox/functions/prestosql/tests/BinaryFunctionsTest.cpp
+++ b/velox/functions/prestosql/tests/BinaryFunctionsTest.cpp
@@ -635,8 +635,10 @@ TEST_F(BinaryFunctionsTest, toIEEE754Bits64) {
   EXPECT_EQ(
       hexToDec("7FF8000000000000"),
       toIEEE754Bits64(std::numeric_limits<double>::quiet_NaN()));
+  // NaNs are normalized when generating output to ensure they are equal as all
+  // NaNs are considered equal
   EXPECT_EQ(
-      hexToDec("7FF4000000000000"),
+      hexToDec("7FF8000000000000"),
       toIEEE754Bits64(std::numeric_limits<double>::signaling_NaN()));
   EXPECT_EQ(
       hexToDec("FFF0000000000000"),
@@ -698,6 +700,11 @@ TEST_F(BinaryFunctionsTest, toIEEE754Bits32) {
   EXPECT_EQ(
       hexToDec("7FC00000"),
       toIEEE754Bits32(std::numeric_limits<float>::quiet_NaN()));
+  // NaNs are normalized when generating output to ensure they are equal as all
+  // NaNs are considered equal
+  EXPECT_EQ(
+      hexToDec("7FC00000"),
+      toIEEE754Bits32(std::numeric_limits<float>::signaling_NaN()));
   EXPECT_EQ(
       hexToDec("7F800000"),
       toIEEE754Bits32(std::numeric_limits<float>::infinity()));