diff --git a/test/data/integer/invalid_integer_data.gleam b/test/data/integer/invalid_integer_data.gleam
index f2abae7..6bf6627 100644
--- a/test/data/integer/invalid_integer_data.gleam
+++ b/test/data/integer/invalid_integer_data.gleam
@@ -682,7 +682,10 @@ fn invalid_mixed() -> List(IntegerTestData) {
       expected_program_output: Error(UnknownCharacter(7, ".")),
       python_error_function: invalid_literal_for_int_error,
     ),
-    // Base 0, has no prefix, default to decimal - should not parse leading 0 as it is followed by a digit
+    // Base 0, has no prefix, default to decimal - should not parse with lead 0
+    // because a leading 0 is considered a flag for start of base prefix string
+    // and we are missing the specifier. When in base 0, to parse a string as
+    // base 10, it must not have a leading 0.
     integer_test_data(
       input: "01",
       base: base_0,
diff --git a/test/tokenizer_test.gleam b/test/tokenizer_test.gleam
index caa31be..0142b35 100644
--- a/test/tokenizer_test.gleam
+++ b/test/tokenizer_test.gleam
@@ -355,34 +355,6 @@ pub fn tokenize_int_with_uppercase_hexadecimal_prefix_and_base_0_test() {
   ])
 }
 
-// Ensure that we don't tokenize the trailing `0b` as a base prefix when including already including the leading base prefix.
-pub fn tokenize_int_with_leading_base_prefix_and_trailing_base_prefix_substrings_as_digits_test() {
-  "0XABC0b"
-  |> tokenizer.tokenize_int
-  |> expect.to_equal([
-    Digit(#(0, 1), "0", 0),
-    Digit(#(1, 2), "X", 33),
-    Digit(#(2, 3), "A", 10),
-    Digit(#(3, 4), "B", 11),
-    Digit(#(4, 5), "C", 12),
-    Digit(#(5, 6), "0", 0),
-    Digit(#(6, 7), "b", 11),
-  ])
-}
-
-// Ensure that we don't tokenize the trailing `0b` as a base prefix omitting the leading base prefix.
-pub fn tokenize_int_with_trailing_base_prefix_substrings_as_digits_test() {
-  "ABC0b"
-  |> tokenizer.tokenize_int
-  |> expect.to_equal([
-    Digit(#(0, 1), "A", 10),
-    Digit(#(1, 2), "B", 11),
-    Digit(#(2, 3), "C", 12),
-    Digit(#(3, 4), "0", 0),
-    Digit(#(4, 5), "b", 11),
-  ])
-}
-
 pub fn tokenize_int_with_no_prefix_and_base_0_test() {
   "  \n+1990_04_12.0e4 "
   |> tokenizer.tokenize_int
@@ -447,14 +419,6 @@ pub fn tokenize_int_with_base_16_and_hexadecimal_prefix_test() {
   ])
 }
 
-// Invalid base specifier tests
-
-pub fn tokenize_int_invalid_base_specifier_test() {
-  "01"
-  |> tokenizer.tokenize_int
-  |> expect.to_equal([Digit(#(0, 1), "0", 0), Digit(#(1, 2), "1", 1)])
-}
-
 // ---- Tests for all whitespace characters
 
 pub fn tokenize_int_with_all_whitespace_characters_test() {