bitutilities.py

@@ -70,6 +70,32 @@ class BasicRegister:
         return shifted_bits
 
 
+class Counter:
+    """
+    The Counter represents a hardware register specifically designed for countdowns.
+
+    :param int value: Initial numeric value this Counter holds.
+    """
+
+    def __init__(self, value: int):
+        self.memory: deque[bool] = deque([i == "1" for i in bin(value)[2:]])
+
+    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 decrement(self):
+        self.memory = binary_subtraction(self, BasicRegister([False] * (len(self.memory) - 1) + [True])).memory
+
+    def non_zero(self) -> bool:
+        return any(self.memory)
+
+
 def get_memory(variable_name: str) -> list[bool]:
     """
     Reads user input to be used as a memory array.
@@ -182,3 +208,114 @@ def align_registers(*registers: BasicRegister) -> tuple[BasicRegister, ...]:
     """
     required_size: int = max(map(len, registers))
     return tuple(reg.adjusted_by_size(required_size) for reg in registers)
+
+
+def binary_multiplication_method_1(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
+    """
+    Multiplies two terms containing binary numbers using first method.
+
+    :param BasicRegister first_term: First register to multiply.
+    :param BasicRegister second_term: Second register to multiply.
+
+    :return: Register containing the product.
+    :rtype: BasicRegister
+    """
+    first_term, second_term = align_registers(first_term, second_term)
+    n: int = len(first_term)
+
+    rg1 = BasicRegister([False] * n)
+    rg2 = BasicRegister(first_term.memory)
+    rg3 = BasicRegister(second_term.memory)
+    ct = Counter(n)
+
+    while ct.non_zero():
+        if rg2.memory[n-1]:
+            rg1 = binary_sum(rg1, rg3)
+
+        rg2.right_shift(rg1.memory[n-1])
+        rg1.right_shift()
+        ct.decrement()
+
+    return BasicRegister(list(rg1.memory) + list(rg2.memory))
+
+def binary_multiplication_method_2(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
+    """
+    Multiplies two terms containing binary numbers using second method.
+
+    :param BasicRegister first_term: First register to multiply.
+    :param BasicRegister second_term: Second register to multiply.
+
+    :return: Register containing the product.
+    :rtype: BasicRegister
+    """
+    first_term, second_term = align_registers(first_term, second_term)
+    n: int = len(first_term)
+
+    rg1 = BasicRegister([False] * (2*n))
+    rg2 = BasicRegister(first_term.memory)
+    rg3 = BasicRegister([False] * n + list(second_term.memory))
+
+    while any(rg2.memory):
+        if rg2.memory[n-1]:
+            rg1 = binary_sum(rg1, rg3)
+
+        rg2.right_shift()
+        rg3.left_shift()
+
+    return rg1
+
+def binary_multiplication_method_3(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
+    """
+    Multiplies two terms containing binary numbers using third method.
+
+    :param BasicRegister first_term: First register to multiply.
+    :param BasicRegister second_term: Second register to multiply.
+
+    :return: Register containing the product.
+    :rtype: BasicRegister
+    """
+    first_term, second_term = align_registers(first_term, second_term)
+    n: int = len(first_term)
+
+    rg1 = BasicRegister([False] * n)
+    rg2 = BasicRegister(list(first_term.memory) + [False])
+    rg3 = BasicRegister([False] * (n+1) + list(second_term.memory))
+    ct = Counter(n)
+
+    while ct.non_zero():
+        if rg2.memory[0]:
+            result: list[bool] = list(binary_sum(BasicRegister(rg2.memory + rg1.memory), rg3).memory)
+            rg2 = BasicRegister(result[:n+1])
+            rg1 = BasicRegister(result[n+1:])
+
+        rg2.left_shift(rg1.memory[0])
+        rg1.left_shift()
+        ct.decrement()
+
+    return BasicRegister((list(rg2.memory) + list(rg1.memory))[:-1])
+
+def binary_multiplication_method_4(first_term: BasicRegister, second_term: BasicRegister) -> BasicRegister:
+    """
+    Multiplies two terms containing binary numbers using fourth method.
+
+    :param BasicRegister first_term: First register to multiply.
+    :param BasicRegister second_term: Second register to multiply.
+
+    :return: Register containing the product.
+    :rtype: BasicRegister
+    """
+    first_term, second_term = align_registers(first_term, second_term)
+    n: int = len(first_term)
+
+    rg1 = BasicRegister([False] * (2*n+1))
+    rg2 = BasicRegister(first_term.memory)
+    rg3 = BasicRegister([False] + list(second_term.memory) + [False] * n)
+
+    while any(rg2.memory):
+        if rg2.memory[0]:
+            rg1 = binary_sum(rg1, rg3)
+
+        rg2.left_shift()
+        rg3.right_shift()
+
+    return BasicRegister(list(rg1.memory)[:-1])

main.py

@@ -16,7 +16,17 @@ def input_handler(first_register: bu.BasicRegister, second_register: bu.BasicReg
             case "s":
                 print(f"Subtraction:\n{bu.binary_subtraction(first_register, second_register)}")
             case "m":
-                pass
+                match input("Choose method to use (1-4):\n>>> "):
+                    case "1":
+                        print(f"Multiplication: {bu.binary_multiplication_method_1(first_register, second_register)}")
+                    case "2":
+                        print(f"Multiplication: {bu.binary_multiplication_method_2(first_register, second_register)}")
+                    case "3":
+                        print(f"Multiplication: {bu.binary_multiplication_method_3(first_register, second_register)}")
+                    case "4":
+                        print(f"Multiplication: {bu.binary_multiplication_method_4(first_register, second_register)}")
+                    case _:
+                        print("Such method does not exist, try again.")
             case "d":
                 pass
             case "q":