Addition of Two or Three 3-Digit Binary Numbers - JSS3 Mathematics Lesson Note

Binary addition follows the same basic principles as decimal addition, but it operates with only two digits: 0 and 1. The rules for binary addition are:

0+0=0

1+0=1

0+1=1

1+1=10 (which is 0 with a carry of 1)

Example: Addition of Two 3-Digit Binary Numbers

Let's add 

101 and 110.

    101

  + 110

  -----

  1011

Step-by-step:

1+0=1

0+1=1

1+1=10 (write 0, carry 1)

Write down the carry (1)

So, 101+110=1011.

Example: Addition of Three 3-Digit Binary Numbers

Let's add 101, 110, and 011.

    101

  + 110

  -----

   1011  (from the previous example)

+  011

  -----

   1100

Step-by-step:

1+1+1=11(write 1, carry 1)

0+1+1=10 (write 0, carry 1)

1+1=10 (write 0, carry 1)

Write down the carry (1)

So, 101+110+011=1100.