diff --git a/include/boost/endian/detail/is_fixed_enum.hpp b/include/boost/endian/detail/is_fixed_enum.hpp
new file mode 100644
index 0000000..aae3bc8
--- /dev/null
+++ b/include/boost/endian/detail/is_fixed_enum.hpp
@@ -0,0 +1,51 @@
+#ifndef BOOST_ENDIAN_DETAIL_IS_FIXED_ENUM_HPP_INCLUDED
+#define BOOST_ENDIAN_DETAIL_IS_FIXED_ENUM_HPP_INCLUDED
+
+// Copyright 2020 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/endian/detail/is_scoped_enum.hpp>
+#include <boost/type_traits/is_enum.hpp>
+#include <boost/type_traits/remove_cv.hpp>
+#include <boost/config.hpp>
+
+namespace boost
+{
+namespace endian
+{
+namespace detail
+{
+
+#if __cplusplus >= 201703L || (defined(_MSVC_LANG) && _MSVC_LANG >= 201703L)
+
+// Thanks to Will Wray for the T{0} idea, which unfortunately only works in C++17+
+//
+// VS2017 works, VS2019 works from 19.20 to 19.22, then in 19.23 starts accepting
+// T{0} for unscoped non-fixed enums as well. Sad!
+
+template<class T, class E = T> struct is_fixed_enum_impl: boost::false_type
+{
+};
+
+template<class T> struct is_fixed_enum_impl<T, decltype(T{0})>: boost::is_enum<T>
+{
+};
+
+template<class T> struct is_fixed_enum: is_fixed_enum_impl< boost::remove_cv_t<T> >
+{
+};
+
+#else
+
+template<class T> struct is_fixed_enum: is_scoped_enum<T>
+{
+};
+
+#endif
+
+} // namespace detail
+} // namespace endian
+} // namespace boost
+
+#endif  // BOOST_ENDIAN_DETAIL_IS_FIXED_ENUM_HPP_INCLUDED
diff --git a/test/Jamfile.v2 b/test/Jamfile.v2
index fd71770..bb43116 100644
--- a/test/Jamfile.v2
+++ b/test/Jamfile.v2
@@ -98,3 +98,4 @@ run order_test.cpp ;
 run endian_reverse_test2.cpp ;
 
 run is_scoped_enum_test.cpp ;
+run is_fixed_enum_test.cpp ;
diff --git a/test/is_fixed_enum_test.cpp b/test/is_fixed_enum_test.cpp
new file mode 100644
index 0000000..60131b9
--- /dev/null
+++ b/test/is_fixed_enum_test.cpp
@@ -0,0 +1,72 @@
+// Copyright 2020 Peter Dimov
+// Distributed under the Boost Software License, Version 1.0.
+// https://www.boost.org/LICENSE_1_0.txt
+
+#include <boost/endian/detail/is_fixed_enum.hpp>
+#include <boost/core/lightweight_test_trait.hpp>
+#include <boost/config.hpp>
+
+enum E1 {};
+
+#if !defined(BOOST_NO_CXX11_SCOPED_ENUMS)
+
+enum E2: long {};
+enum class E3 {};
+enum class E4: long {};
+
+#endif
+
+struct X
+{
+    operator int() const { return 0; }
+};
+
+struct Y;
+
+template<class T> void test_true()
+{
+    using boost::endian::detail::is_fixed_enum;
+
+    BOOST_TEST_TRAIT_TRUE((is_fixed_enum<T>));
+    BOOST_TEST_TRAIT_TRUE((is_fixed_enum<T const>));
+    BOOST_TEST_TRAIT_TRUE((is_fixed_enum<T volatile>));
+    BOOST_TEST_TRAIT_TRUE((is_fixed_enum<T const volatile>));
+}
+
+template<class T> void test_false()
+{
+    using boost::endian::detail::is_fixed_enum;
+
+    BOOST_TEST_TRAIT_FALSE((is_fixed_enum<T>));
+    BOOST_TEST_TRAIT_FALSE((is_fixed_enum<T const>));
+    BOOST_TEST_TRAIT_FALSE((is_fixed_enum<T volatile>));
+    BOOST_TEST_TRAIT_FALSE((is_fixed_enum<T const volatile>));
+}
+
+int main()
+{
+    test_false<int>();
+    test_false<bool>();
+    test_false<X>();
+    test_false<Y>();
+    test_false<void>();
+    test_false<int[]>();
+    test_false<int[1]>();
+
+    test_false<E1>();
+
+#if !defined(BOOST_NO_CXX11_SCOPED_ENUMS)
+
+#if __cplusplus >= 201703L || (defined(_MSVC_LANG) && _MSVC_LANG >= 201703L)
+
+    test_true<E2>();
+
+#endif
+
+    test_true<E3>();
+    test_true<E4>();
+
+#endif
+
+    return boost::report_errors();
+}