Addition

Binary Addition

Binary addition is done similarly to normal addition but instead of a value of 10 being carried, in binary addition a value of 2 is carried to the next column.

There are for possibilities when adding binary numbers, these possibilities are:

a total of 0 (0+0) put down 0
a total of 1 (1+0, 0+1 or 0+0+carried 1) put down 1
a total of 2 (1+1) put down 0, carry 1
a total of 3 (1+1+ carried 1) put down 1, carry 1

For example, solve 6+7 using binary addition:

First convert 6 and 7 from denary to binary using your preferred method

6 = 4+2+0 = 110
7 = 4+2+1 = 111

Then add them keeping in mind the 4 possibilities

110 +

111

0+1 = 1 1+1 = 0 carry 1 1+1+ carried 1 = 1 carry 1 1 + 0 = 1

so 110+111 = 1101. Converting this number back to denary gives us an answer of 13.