diff --git a/Eigen/src/Core/arch/Default/BFloat16.h b/Eigen/src/Core/arch/Default/BFloat16.h
index 30c998249..c963ece6c 100644
--- a/Eigen/src/Core/arch/Default/BFloat16.h
+++ b/Eigen/src/Core/arch/Default/BFloat16.h
@@ -13,16 +13,9 @@ See the License for the specific language governing permissions and
 limitations under the License.
 ==============================================================================*/
 
-
 #ifndef EIGEN_BFLOAT16_H
 #define EIGEN_BFLOAT16_H
 
-#if __cplusplus > 199711L
-#define EIGEN_EXPLICIT_CAST(tgt_type) explicit operator tgt_type()
-#else
-#define EIGEN_EXPLICIT_CAST(tgt_type) operator tgt_type()
-#endif
-
 #define BF16_PACKET_FUNCTION(PACKET_F, PACKET_BF16, METHOD)         \
   template <>                                                       \
   EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED  \
@@ -34,20 +27,6 @@ namespace Eigen {
 
 struct bfloat16;
 
-// explicit conversion operators are no available before C++11 so we first cast
-// bfloat16 to RealScalar rather than to std::complex<RealScalar> directly
-#if !EIGEN_HAS_CXX11
-namespace internal {
-template <typename RealScalar>
-struct cast_impl<bfloat16, std::complex<RealScalar> > {
-  EIGEN_DEVICE_FUNC static inline std::complex<RealScalar> run(const bfloat16 &x)
-  {
-    return static_cast<std::complex<RealScalar> >(static_cast<RealScalar>(x));
-  }
-};
-} // namespace internal
-#endif  // EIGEN_HAS_CXX11
-
 namespace bfloat16_impl {
 
 // Make our own __bfloat16_raw definition.
@@ -86,66 +65,32 @@ struct bfloat16 : public bfloat16_impl::bfloat16_base {
 
   explicit EIGEN_DEVICE_FUNC bfloat16(bool b)
       : bfloat16_impl::bfloat16_base(bfloat16_impl::raw_uint16_to_bfloat16(b ? 0x3f80 : 0)) {}
+
   template<class T>
   explicit EIGEN_DEVICE_FUNC bfloat16(const T& val)
       : bfloat16_impl::bfloat16_base(bfloat16_impl::float_to_bfloat16_rtne<internal::is_integral<T>::value>(static_cast<float>(val))) {}
+  
   explicit EIGEN_DEVICE_FUNC bfloat16(float f)
       : bfloat16_impl::bfloat16_base(bfloat16_impl::float_to_bfloat16_rtne<false>(f)) {}
+
   // Following the convention of numpy, converting between complex and
   // float will lead to loss of imag value.
   template<typename RealScalar>
   explicit EIGEN_DEVICE_FUNC bfloat16(const std::complex<RealScalar>& val)
       : bfloat16_impl::bfloat16_base(bfloat16_impl::float_to_bfloat16_rtne<false>(static_cast<float>(val.real()))) {}
 
+  EIGEN_DEVICE_FUNC operator float() const {
+    return bfloat16_impl::bfloat16_to_float(*this);
+  }
+
+#if EIGEN_HAS_CXX11
   EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(bool) const {
     // +0.0 and -0.0 become false, everything else becomes true.
     return (value & 0x7fff) != 0;
   }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(signed char) const {
-    return static_cast<signed char>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(unsigned char) const {
-    return static_cast<unsigned char>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(short) const {
-    return static_cast<short>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(unsigned short) const {
-    return static_cast<unsigned short>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(int) const {
-    return static_cast<int>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(unsigned int) const {
-    return static_cast<unsigned int>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(long) const {
-    return static_cast<long>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(unsigned long) const {
-    return static_cast<unsigned long>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(long long) const {
-    return static_cast<long long>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(unsigned long long) const {
-    return static_cast<unsigned long long>(bfloat16_to_float(*this));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(float) const {
-    return bfloat16_impl::bfloat16_to_float(*this);
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(double) const {
-    return static_cast<double>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-  template<typename RealScalar>
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(std::complex<RealScalar>) const {
-    return std::complex<RealScalar>(static_cast<RealScalar>(bfloat16_impl::bfloat16_to_float(*this)), RealScalar(0));
-  }
-  EIGEN_DEVICE_FUNC EIGEN_EXPLICIT_CAST(Eigen::half) const {
-    return static_cast<Eigen::half>(bfloat16_impl::bfloat16_to_float(*this));
-  }
-};
+#endif 
 
+};
 } // end namespace Eigen
 
 namespace std {
diff --git a/test/bfloat16_float.cpp b/test/bfloat16_float.cpp
index 11fc31363..94226e999 100644
--- a/test/bfloat16_float.cpp
+++ b/test/bfloat16_float.cpp
@@ -84,10 +84,20 @@ void test_conversion()
   VERIFY_IS_EQUAL(bfloat16(false).value, 0x0000);
   VERIFY_IS_EQUAL(bfloat16(true).value, 0x3f80);
 
-  // Conversion to float.
+  // Conversion to bool
+  VERIFY_IS_EQUAL(static_cast<bool>(bfloat16(3)), true);
+  VERIFY_IS_EQUAL(static_cast<bool>(bfloat16(0.33333f)), true);
+  VERIFY_IS_EQUAL(bfloat16(-0.0), false);
+  VERIFY_IS_EQUAL(static_cast<bool>(bfloat16(0.0)), false);
+
+  // Explicit conversion to float.
   VERIFY_IS_EQUAL(static_cast<float>(bfloat16(__bfloat16_raw(0x0000))), 0.0f);
   VERIFY_IS_EQUAL(static_cast<float>(bfloat16(__bfloat16_raw(0x3f80))), 1.0f);
 
+  // Implicit conversion to float
+  VERIFY_IS_EQUAL(bfloat16(__bfloat16_raw(0x0000)), 0.0f);
+  VERIFY_IS_EQUAL(bfloat16(__bfloat16_raw(0x3f80)), 1.0f);
+
   // Zero representations
   VERIFY_IS_EQUAL(bfloat16(0.0f), bfloat16(0.0f));
   VERIFY_IS_EQUAL(bfloat16(-0.0f), bfloat16(0.0f));
@@ -101,6 +111,11 @@ void test_conversion()
        denorm = nextafterf(denorm, 1.0f)) {
     bfloat16 bf_trunc = Eigen::bfloat16_impl::truncate_to_bfloat16(denorm);
     VERIFY_IS_EQUAL(static_cast<float>(bf_trunc), 0.0f);
+
+    // Implicit conversion of denormls to bool is correct
+    VERIFY_IS_EQUAL(static_cast<bool>(bfloat16(denorm)), false);
+    VERIFY_IS_EQUAL(bfloat16(denorm), false);
+
     if (std::signbit(denorm)) {
       VERIFY_IS_EQUAL(bf_trunc.value, 0x8000);
     } else {