The binary addition operation works similarly to the base 10 decimal system, except that it is a base 2 system. The binary system consists of only two digits, 1 and 0. Most of the functionalities of the computer system use the binary number system. The binary code uses the digits 1’s and 0’s to make certain processes turn off or on. The process of the addition operation is very familiar to the decimal system by adjusting to the base 2.
A example is
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 =10
I hope this helps man