View Discussion
Improve Article
Save Article
View Discussion
Improve Article
Save Article
Given two binary numbers, write a Python program to compute their sum.
Examples:
Input: a = "11", b = "1" Output: "100" Input: a = "1101", b = "100" Output: 10001
Approach:
- Naive Approach: The idea is to start from the last characters of two strings and compute digit sum one by one. If the sum becomes more than 1, then store carry for the next digits.
- Using inbuilt function: Calculate the result by using the inbuilt bin[] and int[] function.
Method 1: Naive Approach:
The idea is to start from the last characters of two strings and compute digit sum one by one. If the sum becomes more than 1, then store carry for the next digits.
Python3
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]:
r = carry
r += 1 if a[i] == '1' else 0
r +=
1 if b[i] == '1' else 0
result = ['1' if r % 2 == 1 else '0'] + result
carry = 0 if r < 2 else 1
if carry != 0:
result = '1' + result
print[result.zfill[max_len]]
Output:
10001
Method 2: Using inbuilt functions:
We will first convert the binary string to a decimal using int[] function in python. The int[] function in Python and Python3 converts a number in the given base to decimal. Then we will add it and then again convert it into a binary number using bin[] function.
Example 1:
Python3
a = "1101"
b = "100"
sum = bin[int[a, 2] + int[b, 2]]
print[sum[2:]]
Example 2:
Python3
if __name__ == "__main__" :
a =
"1101"
b = "100"
binary_sum = lambda a,b : bin[int[a, 2] + int[b, 2]]
print[binary_sum[a,b][2:]]
Method: Using “add” operator
Python3
from operator import*
num1="1101"
num2="100"
print[bin[add[int[num1,2],int[num2,2]]]]
Output
0b10001