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# Add Binary Strings

Problem Description

Given two binary strings A and B. Return their sum (also a binary string).

Problem Constraints

1 <= length of A <= 105

1 <= length of B <= 105

A and B are binary strings

Input Format

The two argument A and B are binary strings.

Output Format

Return a binary string denoting the sum of A and B

Example Input
Input 1:
```A = "100"
B = "11"
```
Input 2:
```A = "110"
B = "10"
```

Example Output
Output 1:
```"111"
```
Output 2:
```"1000"
```

Example Explanation
For Input 1:
```The sum of 100 and 11 is 111.
```
For Input 2:
```
The sum of 110 and 10 is 1000.
```

NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Hints
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## Discussion

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