Addition and Subtraction of Octal Numbers

Addition and subtraction of octal numbers are explained using different examples.

Addition of octal numbers:

Addition of octal numbers is carried out by the same principle as that of decimal or binary numbers.


An addition table for octal numbers is given below:

+ 0 1 2 3 4 5 6 7
0 0 1 2 3 4 5 6 7
1 1 2 3 4 5 6 7 10
2 2 3 4 5 6 7 10 11
3 3 4 5 6 7 10 11 12
4 4 5 6 7 10 11 12 13
5 5 6 7 10 11 12 13 14
6 6 7 10 11 12 13 14 15
7 7 10 11 12 13 14 15 16

With the help of this table addition of octal numbers is best illustrated by the following examples:

Evaluate:

(i) (162)8 + (537) 8

Solution:

          1 1          <---- carry

          1 6 2

          5 3 7
          7 2 1

Therefore, sum = 7218


(ii) (136) 8 + (636) 8

Solution:

             1           <---- carry

          1 3 6

          6 3 6
          7 7 4

Therefore, sum = 7748


(iii) (25.27) 8 + (13.2) 8

Solution:

          1                   <---- carry

          2 5 . 2 7

          1 3 . 2   
          4 0 . 4 7

Therefore, sum = (40.47) 8


(iv) (67.5) 8 + (45.6) 8

Solution:

          1 1                  <---- carry

          6 7 . 5

          4 5 . 6   
       1 3 5 . 3

Therefore, sum = (135.3) 8


Subtraction of octal numbers:

Similarly, subtraction of octal numbers can be performed by following the rules of subtraction of decimal numbers.

Thus, for performing addition and subtraction of octal numbers we can follow the rules of addition and subtraction of decimal numbers

● 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 Addition and Subtraction of Octal Numbers 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. Representation of a Fraction | Numerator/Denominator | Simple Fraction

    Jan 27, 25 02:29 PM

    Representation of a Fraction
    Representation of a fraction is discussed here. In a simple fraction, there is a horizontal line. Above this line we write a number which is called the numerator. Below this line we write another numb…

    Read More

  2. Identification of the Parts of a Fraction | Fractional Numbers | Parts

    Jan 27, 25 01:52 PM

    Fractional Parts
    We will discuss here about the identification of the parts of a fraction. We know fraction means part of something. Fraction tells us, into how many parts a whole has been

    Read More

  3. Finding a Fraction of a Whole Number | Finding a Fraction of an Amount

    Jan 27, 25 01:27 PM

    3 Equal Parts
    How to find a fraction of a whole number? For finding a fraction of a whole number, we multiply the numerator of the fraction by the given number and then divide the product by the denominator

    Read More

  4. Divisibility Rules From 2 to 18 | Math Divisibility Test | Examples

    Jan 27, 25 12:12 AM

    Divisibility Rules
    To find out factors of larger numbers quickly, we perform divisibility test. There are certain rules to check divisibility of numbers. Divisibility tests of a given number by any of the number 2, 3, 4…

    Read More

  5. Dividing 3-Digit by 1-Digit Number | Long Division |Worksheet Answer

    Jan 26, 25 11:14 PM

    Dividing 3-Digit by 1-Digit Number
    Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step. How to divide 3-digit numbers by single-digit numbers? Let us follow the examples to learn to divide 3-digit number by one-digit nu…

    Read More