diff --git a/bitutilities.py b/bitutilities.py
index 33a9986..f779880 100644
--- a/bitutilities.py
+++ b/bitutilities.py
@@ -127,16 +127,12 @@ def binary_sum_with_carry(first_term: BasicRegister, second_term: BasicRegister)
     result_term = BasicRegister([False] * len(first_term))
 
     carry = False
-    for i in range(len(first_term) - 1, 0, -1):
+    for i in range(len(first_term) - 1, -1, -1):
         current_bit_sum = first_term.memory[i] + second_term.memory[i] + carry
         carry = bool(current_bit_sum & 2)
         result_term.memory[i] = bool(current_bit_sum & 1)
 
-    final_bit_sum = first_term.memory[0] + second_term.memory[0] + carry
-    final_carry = bool(final_bit_sum & 2)
-    result_term.memory[0] = bool(final_bit_sum & 1)
-
-    return result_term, final_carry
+    return result_term, carry
 
 
 def binary_sum(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister: