diff --git a/bit_manipulation/Fit binaryadd.py b/bit_manipulation/Fit binaryadd.py
new file mode 100644
index 000000000000..456417e1edc0
--- /dev/null
+++ b/bit_manipulation/Fit binaryadd.py	
@@ -0,0 +1,25 @@
+def addBinary(a: str, b: str) -> str:
+    i, j = len(a) - 1, len(b) - 1
+    carry = 0
+    result = []
+
+    while i >= 0 or j >= 0 or carry:
+        total = carry
+
+        if i >= 0:
+            total += int(a[i])
+            i -= 1
+        if j >= 0:
+            total += int(b[j])
+            j -= 1
+
+        result.append(str(total % 2))  # current bit
+        carry = total // 2             # carry for next bit
+
+    return ''.join(reversed(result))
+# Example usage
+if __name__ == "__main__":
+    a = "1010"
+    b = "1011"
+    print("Input: a =", a, ", b =", b)
+    print("Output:", addBinary(a, b))