diff --git a/include/boost/charconv/detail/parser.hpp b/include/boost/charconv/detail/parser.hpp
index 4b12169..5cd9b7d 100644
--- a/include/boost/charconv/detail/parser.hpp
+++ b/include/boost/charconv/detail/parser.hpp
@@ -217,6 +217,12 @@ inline from_chars_result parser(const char* first, const char* last, bool& sign,
     }
     else if (*next == exp_char || *next == capital_exp_char)
     {
+        // Would be a number without a significand e.g. e+03
+        if (next == first)
+        {
+            return {next, EINVAL};
+        }
+
         ++next;
         if (fmt == chars_format::fixed)
         {
@@ -243,25 +249,33 @@ inline from_chars_result parser(const char* first, const char* last, bool& sign,
         }
 
         from_chars_result r {};
-        if (fmt == chars_format::hex)
-        {
-            r = from_chars(significand_buffer, significand_buffer + offset, significand, 16);
-        }
-        else
-        {
-            r = from_chars(significand_buffer, significand_buffer + offset, significand);
-        }
-        switch (r.ec)
-        {
-            case EINVAL:
-                return {first, EINVAL};
-            case ERANGE:
-                return {next, ERANGE};
-        }
 
-        if (round)
+        // If the significand is 0 from chars will return EINVAL because there is nothing in the buffer,
+        // but it is a valid value. We need to continue parsing to get the correct value of ptr even
+        // though we know we could bail now.
+        //
+        // See GitHub issue #29: https://github.com/cppalliance/charconv/issues/29
+        if (offset != 0)
         {
-            significand += 1;
+            if (fmt == chars_format::hex)
+            {
+                r = from_chars(significand_buffer, significand_buffer + offset, significand, 16);
+            } else
+            {
+                r = from_chars(significand_buffer, significand_buffer + offset, significand);
+            }
+            switch (r.ec)
+            {
+                case EINVAL:
+                    return {first, EINVAL};
+                case ERANGE:
+                    return {next, ERANGE};
+            }
+
+            if (round)
+            {
+                significand += 1;
+            }
         }
     }
 
diff --git a/include/boost/charconv/from_chars.hpp b/include/boost/charconv/from_chars.hpp
index 8b95a2e..678d9f3 100644
--- a/include/boost/charconv/from_chars.hpp
+++ b/include/boost/charconv/from_chars.hpp
@@ -139,7 +139,11 @@ from_chars_result from_chars_float_impl(const char* first, const char* last, T&
     auto r = boost::charconv::detail::parser(first, last, sign, significand, exponent, fmt);
     if (r.ec != 0)
     {
-        value = 0;
+        return r;
+    }
+    else if (significand == 0)
+    {
+        value = sign ? static_cast<T>(-0.0L) : static_cast<T>(0.0L);
         return r;
     }
 
diff --git a/test/from_chars_float.cpp b/test/from_chars_float.cpp
index dbcbed2..5bc5c25 100644
--- a/test/from_chars_float.cpp
+++ b/test/from_chars_float.cpp
@@ -9,6 +9,7 @@
 #include <string>
 #include <cstdlib>
 #include <cstring>
+#include <cerrno>
 #include <cmath>
 
 template <typename T>
@@ -167,6 +168,10 @@ void odd_strings_test()
     BOOST_TEST_EQ(r5.ec, 0);
     BOOST_TEST_EQ(v5, static_cast<T>(1.23456789123456789123456789123456789123456789e-5L));
 
+    const char* buffer6 = "E01";
+    T v6 = 0;
+    auto r6 = boost::charconv::from_chars(buffer6, buffer6 + std::strlen(buffer6), v6);
+    BOOST_TEST_EQ(r6.ec, EINVAL);
 }
 
 template <typename T>
diff --git a/test/test_boost_json_values.cpp b/test/test_boost_json_values.cpp
index d416b49..10e8ec4 100644
--- a/test/test_boost_json_values.cpp
+++ b/test/test_boost_json_values.cpp
@@ -363,5 +363,15 @@ int main()
        "00000000000000000000000000000000000000000000000000" // 500 zeroes
     );
 
+    // Reported in issue #29
+    // https://github.com/cppalliance/charconv/issues/29
+
+    fc("0E0");
+    fc("0E01");
+    fc("0.0e0");
+    fc("-0E0");
+    fc("-0E01");
+    fc("-0.0e0");
+
     return boost::report_errors();
 }