Addition

Binary Addition

Binary is being able to add two numbers together but are represented in binary form, which consist of 1s and 0s

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.

You could get 3 numbers to add however you wont be given a situation in which there are more than a total of 3.

For example:

101

101

011+

Which would = 1101