diff --git a/include/nlohmann/detail/output/binary_writer.hpp b/include/nlohmann/detail/output/binary_writer.hpp
index 146f71db5..0659dd013 100644
--- a/include/nlohmann/detail/output/binary_writer.hpp
+++ b/include/nlohmann/detail/output/binary_writer.hpp
@@ -1617,7 +1617,7 @@ class binary_writer
         std::memcpy(vec.data(), &n, sizeof(NumberType));
 
         // step 2: write array to output (with possible reordering)
-        if (is_little_endian != (OutputIsLittleEndian || use_bjdata))
+        if (is_little_endian != (use_bjdata || OutputIsLittleEndian))
         {
             // reverse byte order prior to conversion if necessary
             std::reverse(vec.begin(), vec.end());
diff --git a/single_include/nlohmann/json.hpp b/single_include/nlohmann/json.hpp
index 0b30ab140..a5bcf37e6 100644
--- a/single_include/nlohmann/json.hpp
+++ b/single_include/nlohmann/json.hpp
@@ -15441,7 +15441,7 @@ class binary_writer
         std::memcpy(vec.data(), &n, sizeof(NumberType));
 
         // step 2: write array to output (with possible reordering)
-        if (is_little_endian != (OutputIsLittleEndian || use_bjdata))
+        if (is_little_endian != (use_bjdata || OutputIsLittleEndian))
         {
             // reverse byte order prior to conversion if necessary
             std::reverse(vec.begin(), vec.end());