Binary Addition

Binary addition is preformed in the same manner as decimal addition.

The rules of binary addition are as follows:



0 + 0 = 0

0 + 1 = 1

1 + 0 = 1

1 + 1 = 0 with a carry-over of 1

Binary Addition Table

+ 0 1
0 0 1
1 1 10

“Carry-overs” of binary addition are performed in the same manner as in decimal addition. With the help of the above rules addition of three or more binary numbers can be worked out but this has little use in digital computers.

For addition of fractional binary numbers, the binary point of the two numbers are placed one below the other just like the decimal points and the usual rules are followed.


A clear concept on few examples will make the procedure of binary addition:

Find the sum of the following numbers:

i) 10101 and 11011

Solution:

10101 and 11011

       1 1 1 1      Carry overs

       1 0 1 0 1

       1 1 0 1 1

    1 1 0 0 0 0



ii) 11001 and 111

Solution:

11001 and 111

       1 1 1 1      Carry overs

       1 1 0 0 1

            1 1 1

     1 0 0 0 0 0



iii) 10101.101 and 1101.011

Solution:

10101.101 and 1101.011

       1 1    1 1   1 1     Carry overs

       1 0 1 0 1 . 1 0 1

          1 1 0 1 . 0 1 1

     1 0 0 0 1 1 . 0 0 0



iv) 111.0111 and 10011.001

Solution:

111.0111 and 10011.001

        1 1 1      1 1       Carry overs

           1 1 1 . 0 1 1 1

      1 0 0 1 1 . 0 0 1   

      1 1 0 1 0 . 1 0 0 1


● Binary Numbers

  • Why Binary Numbers are Used
  • Binary to Decimal Conversion
  • Conversion of Numbers
  • Hexa-decimal Number System
  • Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
  • Octal and Hexa-Decimal Numbers
  • Signed-magnitude Representation
  • Radix Complement
  • Diminished Radix Complement
  • Arithmetic Operations of Binary Numbers


From Binary Addition to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Worksheet on Mixed Addition and Subtraction | Questions on Addition

    Jan 12, 25 02:14 PM

    In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.

    Read More

  2. Estimating Sums and Differences | Estimations | Practical Calculations

    Jan 12, 25 02:02 PM

    Estimating Difference
    For estimating sums and differences in the number we use the rounded numbers for estimations to its nearest tens, hundred, and thousand. In many practical calculations, only an approximation is requir…

    Read More

  3. Combination of Addition and Subtraction | Mixed Addition & Subtraction

    Jan 12, 25 01:36 PM

    Add and Sub
    We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add

    Read More

  4. Checking Subtraction using Addition |Use Addition to Check Subtraction

    Jan 12, 25 01:13 PM

    Checking Subtraction using Addition Worksheet
    We can check subtraction by adding the difference to the smaller number. Since the sum of difference and smaller number is equal to the larger number, subtraction is correct.

    Read More

  5. Worksheet on Subtraction of 4-Digit Numbers|Subtracting 4-Digit Number

    Jan 12, 25 09:04 AM

    Worksheet on Subtraction of 4-Digit Numbers
    Practice the questions given in the worksheet on subtraction of 4-digit numbers. Here we will subtract two 4-digit numbers (without borrowing and with borrowing) to find the difference between them.

    Read More