binary_operation.py

def addition_binary_number(number1: str, number2: str) -> str:
 """
 Add two binary numbers which are represented as strings.
 :param number1: number string 1
 :param number2: number string 2
 :return: sum of the two binary numbers
 """
 result = []
 carry = 0
 number1 = number1[::-1]
 number2 = number2[::-1]
 number1_length = len(number1)
 number2_length = len(number2)

 for i in range(max(number1_length, number2_length)):
 digit1 = int(number1[i]) if i < number1_length else 0
 digit2 = int(number2[i]) if i < number2_length else 0
 digit = digit1 + digit2 + carry
 result.append(str(digit % 2))
 carry = digit // 2

 if carry:
 result.append(str(carry))

 result.reverse()

 return ''.join(result)