add Algorithm
The add-bin algorithm is a simple and effective method used for adding binary numbers. It is based on the fundamental principles of arithmetic operations, particularly addition, while leveraging the unique characteristics of the binary numeral system. The algorithm involves adding the binary numbers bit by bit from right to left, taking into account the carry-over value as one proceeds through the operation. Since binary numbers consist of only two digits, 0 and 1, the add-bin algorithm simplifies the addition process as it only requires consideration of a few possible cases: 0+0, 0+1, 1+0, and 1+1.
To perform the add-bin algorithm, one needs to align the binary numbers to be added, ensuring that the least significant bits (LSB) are aligned on the right. Next, starting from the rightmost bit, the addition is carried out, taking into account any carry-over values from the previous bit addition. If the sum of two bits is 2 (i.e., 1+1), the result is written as 0 with a carry-over of 1 to the next significant bit. If the sum is 3 (i.e., 1+1 with a carry-over of 1), the result is written as 1 with a carry-over of 1 to the next significant bit. The process is repeated until all the bits have been added, including any final carry-over value. The add-bin algorithm's simplicity and efficiency make it an essential technique in digital systems and computer arithmetic operations.
"""
Just to check
"""
def add(a, b):
"""
>>> add(2, 2)
4
>>> add(2, -2)
0
"""
return a + b
if __name__ == "__main__":
a = 5
b = 6
print(f"The sum of {a} + {b} is {add(a, b)}")
