Binary Addition

The process for adding binary numbers is the same in any number system, except that you must be aware of when (and what) to “carry”.
In the decimal system, a carry occurs when the sum of 2 digits is 10 or more.  For example,

In binary, a carry occurs when the sum of 2 binary digits is 2 or more.  This leaves only four possibilities:

0 + 0 =  02     0 + 1 =  12     1 + 1 = 102 (therefore, 0 with a carry) 1 + 1 + 1 = 112 (therefore, 1 with a carry)

For example, suppose that we want to add the binary numbers 0011 0010₂  +  0011 0111₂: