add binary

index.py

Description:

Given two input strings, in a form of binary numbers. Our job is to add them togeth and simply return their sum

BINNARY NUMBERS:
Binary number are numbers that represent only by zero (0) and one (1)

DECIMAL NUMBERS:
Decimal numbers are constructed by digit base in columns that are multiple of 10. for example

1 9 9 6
1996 = 1 * 1000 + 9 * 100 + 9 * 10 + 6 1

6 * 1 =  6 multiply by 10 to the power of Zero
9 * 10 = 10 to the power of 1 * 9
9 * 100 = 10 to the power of 2 * 9
1 * 1000 = 10 to the power of 3 * 1


So, each column in a decimal number represents 10 raise to power of columns position, where position starts at 0 from
right side



Similarly in a binary number also consist of columns, the columns are multiples of 2 instead of 10
example: 1 0 1 1


1 * 1 = 1 * 2 raise to power of 0
1 * 2 = 1 * 2 raise to power of 1
0 * 4 = 0 * 2 raise to power of 2
1 * 8 = 1 * 2 raise topower of 3





Binary Addition
A B       A + B           SUM           CARRY

0 0       0 + 0           0             0
0 1      0 + 1            1             0
1 0      1 + 0            1             0
1 1      1 + 1            0             1