diff --git a/include/nlohmann/detail/input/binary_reader.hpp b/include/nlohmann/detail/input/binary_reader.hpp
index d3ac80f91..f24d9c6c1 100644
--- a/include/nlohmann/detail/input/binary_reader.hpp
+++ b/include/nlohmann/detail/input/binary_reader.hpp
@@ -1115,52 +1115,7 @@ class binary_reader
                 return sax->null();
 
             case 0xF9: // Half-Precision Float (two-byte IEEE 754)
-            {
-                const auto byte1_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format_t::cbor, "number")))
-                {
-                    return false;
-                }
-                const auto byte2_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format_t::cbor, "number")))
-                {
-                    return false;
-                }
-
-                const auto byte1 = static_cast<unsigned char>(byte1_raw);
-                const auto byte2 = static_cast<unsigned char>(byte2_raw);
-
-                // Code from RFC 8949, Appendix D, Figure 3:
-                // As half-precision floating-point numbers were only added
-                // to IEEE 754 in 2008, today's programming platforms often
-                // still only have limited support for them. It is very
-                // easy to include at least decoding support for them even
-                // without such support. An example of a small decoder for
-                // half-precision floating-point numbers in the C language
-                // is shown in Fig. 3.
-                const auto half = static_cast<unsigned int>((byte1 << 8u) + byte2);
-                const double val = [&half]
-                {
-                    const int exp = (half >> 10u) & 0x1Fu;
-                    const unsigned int mant = half & 0x3FFu;
-                    JSON_ASSERT(exp <= 31);
-                    JSON_ASSERT(mant <= 1023);
-                    switch (exp)
-                    {
-                        case 0:
-                            return std::ldexp(mant, -24);
-                        case 31:
-                            return (mant == 0)
-                            ? std::numeric_limits<double>::infinity()
-                            : std::numeric_limits<double>::quiet_NaN();
-                        default:
-                            return std::ldexp(mant + 1024, exp - 25);
-                    }
-                }();
-                return sax->number_float((half & 0x8000u) != 0
-                                         ? static_cast<number_float_t>(-val)
-                                         : static_cast<number_float_t>(val), "");
-            }
+                return get_half_float(input_format_t::cbor, false);
 
             case 0xFA: // Single-Precision Float (four-byte IEEE 754)
             {
@@ -3112,50 +3067,7 @@ class binary_reader
                 {
                     break;
                 }
-                const auto byte1_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format, "number")))
-                {
-                    return false;
-                }
-                const auto byte2_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format, "number")))
-                {
-                    return false;
-                }
-
-                const auto byte1 = static_cast<unsigned char>(byte1_raw);
-                const auto byte2 = static_cast<unsigned char>(byte2_raw);
-
-                // Code from RFC 8949, Appendix D, Figure 3:
-                // As half-precision floating-point numbers were only added
-                // to IEEE 754 in 2008, today's programming platforms often
-                // still only have limited support for them. It is very
-                // easy to include at least decoding support for them even
-                // without such support. An example of a small decoder for
-                // half-precision floating-point numbers in the C language
-                // is shown in Fig. 3.
-                const auto half = static_cast<unsigned int>((byte2 << 8u) + byte1);
-                const double val = [&half]
-                {
-                    const int exp = (half >> 10u) & 0x1Fu;
-                    const unsigned int mant = half & 0x3FFu;
-                    JSON_ASSERT(exp <= 31);
-                    JSON_ASSERT(mant <= 1023);
-                    switch (exp)
-                    {
-                        case 0:
-                            return std::ldexp(mant, -24);
-                        case 31:
-                            return (mant == 0)
-                            ? std::numeric_limits<double>::infinity()
-                            : std::numeric_limits<double>::quiet_NaN();
-                        default:
-                            return std::ldexp(mant + 1024, exp - 25);
-                    }
-                }();
-                return sax->number_float((half & 0x8000u) != 0
-                                         ? static_cast<number_float_t>(-val)
-                                         : static_cast<number_float_t>(val), "");
+                return get_half_float(input_format, true);
             }
 
             case 'd':
@@ -4072,6 +3984,68 @@ class binary_reader
         return true;
     }
 
+    /*!
+    @brief read and decode an IEEE 754 half-precision (16-bit) float
+
+    Used by CBOR (big endian) and BJData (little endian); the two formats
+    only differ in the byte order of the two bytes that make up the half.
+
+    @param[in] format       the current format (for diagnostics)
+    @param[in] little_endian whether the two bytes are little endian (BJData)
+                             or big endian (CBOR)
+
+    @return whether reading and decoding succeeded
+    */
+    bool get_half_float(const input_format_t format, const bool little_endian)
+    {
+        const auto byte1_raw = get();
+        if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(format, "number")))
+        {
+            return false;
+        }
+        const auto byte2_raw = get();
+        if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(format, "number")))
+        {
+            return false;
+        }
+
+        const auto byte1 = static_cast<unsigned char>(byte1_raw);
+        const auto byte2 = static_cast<unsigned char>(byte2_raw);
+
+        // Code from RFC 8949, Appendix D, Figure 3:
+        // As half-precision floating-point numbers were only added
+        // to IEEE 754 in 2008, today's programming platforms often
+        // still only have limited support for them. It is very
+        // easy to include at least decoding support for them even
+        // without such support. An example of a small decoder for
+        // half-precision floating-point numbers in the C language
+        // is shown in Fig. 3.
+        const auto half = little_endian
+                          ? static_cast<unsigned int>((byte2 << 8u) + byte1)
+                          : static_cast<unsigned int>((byte1 << 8u) + byte2);
+        const double val = [&half]
+        {
+            const int exp = (half >> 10u) & 0x1Fu;
+            const unsigned int mant = half & 0x3FFu;
+            JSON_ASSERT(exp <= 31);
+            JSON_ASSERT(mant <= 1023);
+            switch (exp)
+            {
+                case 0:
+                    return std::ldexp(mant, -24);
+                case 31:
+                    return (mant == 0)
+                    ? std::numeric_limits<double>::infinity()
+                    : std::numeric_limits<double>::quiet_NaN();
+                default:
+                    return std::ldexp(mant + 1024, exp - 25);
+            }
+        }();
+        return sax->number_float((half & 0x8000u) != 0
+                                 ? static_cast<number_float_t>(-val)
+                                 : static_cast<number_float_t>(val), "");
+    }
+
     /*!
     @brief create a string by reading characters from the input
 
diff --git a/single_include/nlohmann/json.hpp b/single_include/nlohmann/json.hpp
index 3052f5d6e..45e794178 100644
--- a/single_include/nlohmann/json.hpp
+++ b/single_include/nlohmann/json.hpp
@@ -13882,52 +13882,7 @@ class binary_reader
                 return sax->null();
 
             case 0xF9: // Half-Precision Float (two-byte IEEE 754)
-            {
-                const auto byte1_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format_t::cbor, "number")))
-                {
-                    return false;
-                }
-                const auto byte2_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format_t::cbor, "number")))
-                {
-                    return false;
-                }
-
-                const auto byte1 = static_cast<unsigned char>(byte1_raw);
-                const auto byte2 = static_cast<unsigned char>(byte2_raw);
-
-                // Code from RFC 8949, Appendix D, Figure 3:
-                // As half-precision floating-point numbers were only added
-                // to IEEE 754 in 2008, today's programming platforms often
-                // still only have limited support for them. It is very
-                // easy to include at least decoding support for them even
-                // without such support. An example of a small decoder for
-                // half-precision floating-point numbers in the C language
-                // is shown in Fig. 3.
-                const auto half = static_cast<unsigned int>((byte1 << 8u) + byte2);
-                const double val = [&half]
-                {
-                    const int exp = (half >> 10u) & 0x1Fu;
-                    const unsigned int mant = half & 0x3FFu;
-                    JSON_ASSERT(exp <= 31);
-                    JSON_ASSERT(mant <= 1023);
-                    switch (exp)
-                    {
-                        case 0:
-                            return std::ldexp(mant, -24);
-                        case 31:
-                            return (mant == 0)
-                            ? std::numeric_limits<double>::infinity()
-                            : std::numeric_limits<double>::quiet_NaN();
-                        default:
-                            return std::ldexp(mant + 1024, exp - 25);
-                    }
-                }();
-                return sax->number_float((half & 0x8000u) != 0
-                                         ? static_cast<number_float_t>(-val)
-                                         : static_cast<number_float_t>(val), "");
-            }
+                return get_half_float(input_format_t::cbor, false);
 
             case 0xFA: // Single-Precision Float (four-byte IEEE 754)
             {
@@ -15879,50 +15834,7 @@ class binary_reader
                 {
                     break;
                 }
-                const auto byte1_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format, "number")))
-                {
-                    return false;
-                }
-                const auto byte2_raw = get();
-                if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(input_format, "number")))
-                {
-                    return false;
-                }
-
-                const auto byte1 = static_cast<unsigned char>(byte1_raw);
-                const auto byte2 = static_cast<unsigned char>(byte2_raw);
-
-                // Code from RFC 8949, Appendix D, Figure 3:
-                // As half-precision floating-point numbers were only added
-                // to IEEE 754 in 2008, today's programming platforms often
-                // still only have limited support for them. It is very
-                // easy to include at least decoding support for them even
-                // without such support. An example of a small decoder for
-                // half-precision floating-point numbers in the C language
-                // is shown in Fig. 3.
-                const auto half = static_cast<unsigned int>((byte2 << 8u) + byte1);
-                const double val = [&half]
-                {
-                    const int exp = (half >> 10u) & 0x1Fu;
-                    const unsigned int mant = half & 0x3FFu;
-                    JSON_ASSERT(exp <= 31);
-                    JSON_ASSERT(mant <= 1023);
-                    switch (exp)
-                    {
-                        case 0:
-                            return std::ldexp(mant, -24);
-                        case 31:
-                            return (mant == 0)
-                            ? std::numeric_limits<double>::infinity()
-                            : std::numeric_limits<double>::quiet_NaN();
-                        default:
-                            return std::ldexp(mant + 1024, exp - 25);
-                    }
-                }();
-                return sax->number_float((half & 0x8000u) != 0
-                                         ? static_cast<number_float_t>(-val)
-                                         : static_cast<number_float_t>(val), "");
+                return get_half_float(input_format, true);
             }
 
             case 'd':
@@ -16839,6 +16751,68 @@ class binary_reader
         return true;
     }
 
+    /*!
+    @brief read and decode an IEEE 754 half-precision (16-bit) float
+
+    Used by CBOR (big endian) and BJData (little endian); the two formats
+    only differ in the byte order of the two bytes that make up the half.
+
+    @param[in] format       the current format (for diagnostics)
+    @param[in] little_endian whether the two bytes are little endian (BJData)
+                             or big endian (CBOR)
+
+    @return whether reading and decoding succeeded
+    */
+    bool get_half_float(const input_format_t format, const bool little_endian)
+    {
+        const auto byte1_raw = get();
+        if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(format, "number")))
+        {
+            return false;
+        }
+        const auto byte2_raw = get();
+        if (JSON_HEDLEY_UNLIKELY(!unexpect_eof(format, "number")))
+        {
+            return false;
+        }
+
+        const auto byte1 = static_cast<unsigned char>(byte1_raw);
+        const auto byte2 = static_cast<unsigned char>(byte2_raw);
+
+        // Code from RFC 8949, Appendix D, Figure 3:
+        // As half-precision floating-point numbers were only added
+        // to IEEE 754 in 2008, today's programming platforms often
+        // still only have limited support for them. It is very
+        // easy to include at least decoding support for them even
+        // without such support. An example of a small decoder for
+        // half-precision floating-point numbers in the C language
+        // is shown in Fig. 3.
+        const auto half = little_endian
+                          ? static_cast<unsigned int>((byte2 << 8u) + byte1)
+                          : static_cast<unsigned int>((byte1 << 8u) + byte2);
+        const double val = [&half]
+        {
+            const int exp = (half >> 10u) & 0x1Fu;
+            const unsigned int mant = half & 0x3FFu;
+            JSON_ASSERT(exp <= 31);
+            JSON_ASSERT(mant <= 1023);
+            switch (exp)
+            {
+                case 0:
+                    return std::ldexp(mant, -24);
+                case 31:
+                    return (mant == 0)
+                    ? std::numeric_limits<double>::infinity()
+                    : std::numeric_limits<double>::quiet_NaN();
+                default:
+                    return std::ldexp(mant + 1024, exp - 25);
+            }
+        }();
+        return sax->number_float((half & 0x8000u) != 0
+                                 ? static_cast<number_float_t>(-val)
+                                 : static_cast<number_float_t>(val), "");
+    }
+
     /*!
     @brief create a string by reading characters from the input