diff --git a/README.md b/README.md
index 89b4d72..d5cdd0b 100644
--- a/README.md
+++ b/README.md
@@ -7,7 +7,6 @@ in Crystal.
 
 ## Features
 
-- Full RFC7049 support
 - Full support for diagnostic notation
 - Assign a field to a type base on the CBOR tag
 - Support for a wide range of IANA CBOR Tags
@@ -19,6 +18,9 @@ in Crystal.
 Crystal doesn't have a `Float16` type, so half-precision floating point numbers
 are not supported for the time being.
 
+If you know of a way to solve handle half-precision float, a contribution would
+be really appreciated.
+
 ### Maximum Array/String array/Bytes array length
 
 The spec allows for the maximum length of arrays, string arrays and bytes array
diff --git a/spec/rfc_spec.cr b/spec/rfc_spec.cr
index a0c726f..2ffe10f 100644
--- a/spec/rfc_spec.cr
+++ b/spec/rfc_spec.cr
@@ -3,6 +3,19 @@ require "./spec_helper"
 # All those tests have been exported from the RFC7049 appendix A.
 
 tests = [
+  # Disabled as half-precision floats are not supported:
+  # { %(0.0), "f9 00 00" },
+  # { %(-0.0), "f9 80 00" },
+  # { %(1.0), "f9 3c 00" },
+  # { %(1.5), "f9 3e 00" },
+  # { %(65504.0), "f9 7b ff" },
+  # { %(0.00006103515625), "f9 04 00" },
+  # { %(-4.0), "f9 c4 00" },
+  # { %(5.960464477539063e-8), "f9 00 01" },
+  # { %(Infinity), "f9 7c 00" },
+  # { %(NaN), "f9 7e 00" },
+  # { %(-Infinity), "f9 fc 00" },
+
   { %(0), "00" },
   { %(1), "01" },
   { %(10), "0a" },
@@ -21,22 +34,11 @@ tests = [
   { %(-10), "29" },
   { %(-100), "38 63" },
   { %(-1000), "39 03 e7" },
-  # { %(0.0), "f9 00 00" },
-  # { %(-0.0), "f9 80 00" },
-  # { %(1.0), "f9 3c 00" },
   { %(1.1), "fb 3f f1 99 99 99 99 99 9a" },
-  # { %(1.5), "f9 3e 00" },
-  # { %(65504.0), "f9 7b ff" },
   { %(100000.0), "fa 47 c3 50 00" },
   # { %(3.4028234663852886e+38), "fa 7f 7f ff ff" }, TODO: Not precise enough?
   { %(1.0e+300), "fb 7e 37 e4 3c 88 00 75 9c" },
-  # { %(5.960464477539063e-8), "f9 00 01" },
-  # { %(0.00006103515625), "f9 04 00" },
-  # { %(-4.0), "f9 c4 00" },
   { %(-4.1), "fb c0 10 66 66 66 66 66 66" },
-  # { %(Infinity), "f9 7c 00" },
-  # { %(NaN), "f9 7e 00" },
-  # { %(-Infinity), "f9 fc 00" },
   { %(Infinity), "fa 7f 80 00 00" },
   { %(NaN), "fa 7f c0 00 00" },
   { %(-Infinity), "fa ff 80 00 00" },
diff --git a/src/cbor/lexer.cr b/src/cbor/lexer.cr
index fa60b6f..97d24d7 100644
--- a/src/cbor/lexer.cr
+++ b/src/cbor/lexer.cr
@@ -84,7 +84,7 @@ class CBOR::Lexer
     when 0xe0..0xf8
       consume_simple_value(read_size(byte - 0xe0))
     when 0xf9
-      raise ParseError.new("Half-precision floating points are not supported")
+      raise ParseError.new("Half-precision floating point numbers are not supported")
     when 0xfa
       Token::FloatT.new(value: read(Float32))
     when 0xfb
diff --git a/src/cbor/tag.cr b/src/cbor/tag.cr
index 1d31434..ebd46a6 100644
--- a/src/cbor/tag.cr
+++ b/src/cbor/tag.cr
@@ -21,6 +21,10 @@ enum CBOR::Tag : UInt32
   RegularExpression
   MimeMessage
   UUID
+  Language
+  Identifier
+
+  CBORWebToken = 61
 
   CBORMarker = 55799
 end