diff --git a/bit_manipulation/missing_number.py b/bit_manipulation/missing_number.py
index 92502a778ace..7b2830389180 100644
--- a/bit_manipulation/missing_number.py
+++ b/bit_manipulation/missing_number.py
@@ -12,10 +12,10 @@ def find_missing_number(nums: list[int]) -> int:
         >>> find_missing_number([0, 1, 3, 4])
         2
     """
-    n = len(nums)
-    missing_number = n
-
-    for i in range(n):
-        missing_number ^= i ^ nums[i]
+    n = nums[-1]
+    for i in range(nums[0], n + 1):
+        if nums[i - nums[0]] != i:
+            missing_number = i
+            break
 
     return missing_number