fix wrong carry bit output

Added carry return (VERY NOT SURE IF IT WORKS CORRECTLY).

bitutilities.py

@@ -1,22 +1,42 @@
 from collections import deque
+from typing_extensions import Self
 
 
 class BasicRegister:
-    """The BasicRegister represents a hardware register capable of manipulating multiple bits at a time.
+    """
+    The BasicRegister represents a hardware register capable of manipulating multiple bits at a time.
 
     :param deque[bool] memory: The bits stored inside the register.
     """
 
     def __init__(self, memory: list[bool]):
-        """Constructor method"""
         self.memory: deque[bool] = deque(memory)
 
+    def __repr__(self) -> str:
+        return f"Memory: {[int(value) for value in  self.memory]}"
+
     def __str__(self) -> str:
         return f"Memory: {[int(value) for value in  self.memory]}"
 
+    def __len__(self) -> int:
+        return len(self.memory)
+
+    def adjusted_by_size(self, resulting_size: int) -> Self:
+        """
+        Adjusts a register to a given size.
+
+        :param int resulting_size: The size of the resulting register.
+
+        :return: A register of a specified size.
+        :rtype: BasicRegister
+        """
+        current_memory_size: int = len(self.memory)
+        return BasicRegister(
+            [False] * max(resulting_size - current_memory_size, 0) + list(self.memory)[-resulting_size:]
+        )
+
     def reverse(self):
-        for i, value in enumerate(self.memory):
-            self.memory[i] = not value
+        self.memory = deque([not value for value in self.memory])
 
     def left_shift(self, digit_to_fill: bool = False, steps_shifted: int = 1) -> deque[bool]:
         self.memory.extend([digit_to_fill] * steps_shifted)
@@ -45,3 +65,45 @@ def get_memory(variable_name: str) -> list[bool]:
             return [True if character == "1" else False for character in input_chars]
         else:
             print(f"[ERROR] The {variable_name} may contain only 1-s and 0-s!")
+
+
+def binary_sum(first_term: BasicRegister, second_term: BasicRegister, return_remainder: bool = False)\
+        -> BasicRegister | tuple[BasicRegister, int]:
+    """
+    Sums two registers' values.
+
+    :param BasicRegister first_term: First register.
+    :param BasicRegister second_term: Second register.
+    :param bool return_remainder: True to return the tuple, False to return just the register.
+
+    :return: Register containing the sum or the tuple containing the register and carried radix.
+    :rtype: BasicRegister | tuple[BasicRegister, int]
+    """
+    size_a = len(first_term)
+    size_b = len(second_term)
+
+    required_size = max(size_a, size_b)
+
+    a = first_term
+    b = second_term
+
+    if size_a != size_b:
+        a = a.adjusted_by_size(required_size)
+        b = b.adjusted_by_size(required_size)
+
+    c = BasicRegister([False] * required_size)
+
+    carry = False
+    for i in range(required_size - 1, 0, -1):
+        current_bit_sum = a.memory[i] + b.memory[i] + carry
+        carry = bool(current_bit_sum & 2)
+        c.memory[i] = bool(current_bit_sum & 1)
+
+    final_bit_sum = a.memory[0] + b.memory[0] + carry
+    carry = bool(final_bit_sum & 2)
+    c.memory[0] = bool(final_bit_sum & 1)
+
+    if return_remainder:
+        return c, carry
+    else:
+        return c

main.py

@@ -1,22 +1,31 @@
-from bitutilities import *
+import bitutilities as bu
 import timeit
 
 
 if __name__ == '__main__':
-    reg: BasicRegister = BasicRegister(get_memory("memory"))
-    # print(type(reg))
+    reg: bu.BasicRegister = bu.BasicRegister(bu.get_memory("memory"))
 
-    print("\nRegister:")
+    print()
+    print("Register 1:")
     print(reg)
 
-    print("\nReversed:")
-    reg.reverse()
-    print(reg)
+    print()
+    reg2: bu.BasicRegister = bu.BasicRegister(bu.get_memory("more memory"))
 
-    print("\nShifted left:")
-    print([int(value) for value in reg.left_shift()])
-    print(reg)
+    print()
+    print("Register 2:")
+    print(reg2)
 
-    print("\nShifted right:")
-    print([int(value) for value in reg.right_shift()])
-    print(reg)
+    print()
+    reg3: bu.BasicRegister = bu.binary_sum(reg, reg2)
+
+    print()
+    print("Sum:")
+    print(reg3)
+
+    carry_sum_test: tuple[bu.BasicRegister, int] = bu.binary_sum(reg, reg2, True)
+
+    print()
+    print("Sum & carry:")
+    # print(type(carry_sum_test))
+    print(carry_sum_test)