Addition of Two Binary Number in Python

In the following program, we are going to use two built-in functions int() and bin() for the addition of two binary numbers in Python programming.

The int() function converts a string into an integer number considered given base value.

For Example

a = '0011'
print(int(a,2))

Output

3

Addition of Two Binary Number

Method 1: Naive Approach

1. Declare the variables a and b

2. add zeros at the beginning of the shorter string until it reaches the longer string. The zfill() method is used to add zeros at the beginning of the string until it reaches the specified length.

3. Then start from the last characters of the two binary strings and add them one by one.

4. If the sum becomes more than 1, then store carry for the next digits.

5. Finally, return the result

a = "1101"
b = "100"
max_len = max(len(a), len(b)) 
a = a.zfill(max_len) 
b = b.zfill(max_len) 

result = '' 

carry = 0

for i in range(max_len - 1, -1, -1): 
    temp = carry 
    temp += 1 if a[i] == '1' else 0
    temp += 1 if b[i] == '1' else 0
    result = ('1' if temp % 2 == 1 else '0') + result 
   
    carry = 0 if temp < 2 else 1
  
if carry != 0: 
    result = '1' + result 
  
print("The addition of a and b is ", result.zfill(max_len))

Output

The addition of a and b is 10001

Method 2: Using inbuilt function

1. Firstly, convert the binary strings to a decimal using int() function.

2. Then add them.

3. Finally, covert results into a binary number using bin() function.

a = '0011' # decimal value is 3

b = '1010' # decimal value is 10

result = bin(int(a,2) + int(b,2))
print("Addition of the a and b is ",result)

Output

Addition of the a and b is 0b1101

Also, read

• Convert Decimal fraction to binary in Python