Addition of binary number 11011 and 10111 is :

To add the binary numbers 110112 and 101112, you can perform column-by-column addition from right to left, just like decimal addition, keeping in mind that in binary:

• 0 + 0 = 0

• 0 + 1 = 1

• 1 + 1 = 10 (write 0, carry 1)

• 1 + 1 + 1 = 11 (write 1, carry 1)

Here is the step-by-step calculation showing the carries:

Plaintext

  ₁  ₁  ₁  ₁  ₁     (Carries)
     1  1  0  1  1
  +  1  0  1  1  1
  -----------------
   1 1  0  0  1  0

Breakdown of steps (from right to left):

1. 1st column: 1 + 1 = 10 -----> Write 0, carry 1

2. 2nd column: 1 + 1 + 1 (carry) = 11 ---> Write 1, carry 1

3. 3rd column: 0 + 1 + 1 (carry) = 10 ---> Write 0, carry 1

4. 4th column: 1 + 0 + 1 (carry)} = 10 ---> Write 0, carry 1

5. 5th column: 1 + 1 + 1 (carry) = 11 ----> Write 1, carry 1

6. 6th column: Bring down the remaining carry 1 ---> Write 1

Final Answer:

The addition of the binary numbers 11011 and 10111 is 110010.

(Verification in decimal: 27 + 23 = 50, and 50 in binary is 110010.)