To get the best deal on Tutoring, call 1-855-666-7440 (Toll Free)
Top

Convert Hexadecimal to Octal

In this page we are going to discuss about how to convert hexadecimal to octal number .Hexadecimal to octal is the convertion of a number in hexadecimal number system to equivalent number in octadecimal number system.Hexadecimal to octadecimal conversion cannot be done directly.decimal number will help us for this conversion.Here we have to convert the hexadecimal number to the equivalent decimal first then convert that decimal to its equivalent octal number.This octal number obtained will also will be equivalent to the given hexadecimal numbers.Hexadecimal and octadecimals are applied in electronic.We will learn more about hexa and octal numbers.

Hexadecimal:

Hexadecimal numbers are numbers with the base 16.That is it uses 16 different digits to represent the numbers.It is denoted as h16,where h is a hexadecimal number. It may be combination and alphabets and numbers.it uses numbers from 0 to 9 and alphabets A to F.

Example: 1) 22AA     2) 98D1   3) AFD

Octal:

Octal means octadecimal numbers.These numbers uses digits 0 to 7,total 8 digits and its called as octal number system.Octal decimal are numbers with bae 8.It is denoted as o8 and o is an octadecimal number.It does not use digits 8 and 9 to represent a number.

Example: 1)145       2) 567      3) 54 

Related Calculators
Octal Calculator Adding Hexadecimal Numbers Calculator
Binary to Hexadecimal Calculator Convert Decimal to Hexadecimal Calculator
 

How to Convert Hexadecimal to Octal Number

Back to Top

Below are the steps on how to convert hexadecimal to octal number -

Step 1: Consider the given hexadecimal number

Step 2: First count the number of digits in the number

Step 3: If n is the position of the digit from the right end  then multiply each digit with 16n-1

Step 4: Add the terms after multiplication

Step 5: Resultant is the equivalent decimal form

Step 6: Divide the decimal number with 8

Step 7: Note down the remainder

Step 8:Continue step 6 and 7 with the quitient,untill the quitient is zero

Step 9: Write the remainders in reverse order

Step 10: The obtained number is the required result.

Converting Hexadecimal to Octal

Back to Top

Below are the examples on converting hexadecimal to octal -

Example 1:

Find the equivaleent octal form of C116

Solution:

Given hexadecimal number is C1

C116 = (C * 161) + (1 * 160)

          = C * 16 + 1 * 1

          =12 * 16  + 1 

          = 192 + 1

          =193(Decimal form)

Now we have to conver this decimal to octal

                               8 | 193

                           -------
                        8 | 24  -- 1
                           -------
                        8 | 3    -- 0
                           -------
                        8 | 0     --3

The octal number is 3018

C116 = 3018

Example 2:

Find the equivaleent octal form of F16

Solution:

Given hexadecimal number is F

F16 = (F * 160)

      = F * 1

      = F 

      = 15(Decimal form)

Now we have to conver this decimal to octal

                        8 | 15

                           -------
                        8 | 1  -- 7
                           -------
                        8 | 0    -- 1
 

The octal number is 178

F16 = 178

Example 3:

Find the equivaleent octal form of 10516

Solution:

Given hexadecimal number is 105

10516 = (1 * 162) + (0 * 161) + (5 * 160)

            = 1*256 + 0 * 16 + 5 * 1

            =256 + 0 +5 

            = 261(Decimal form)

Now we have to conver this decimal to octal

                               8 | 261

                           -------
                        8 | 32  -- 5
                           -------
                        8 | 4    -- 0
                           -------
                        8 | 0     --4

The octal number is 4058

10516 = 4058

Practice Problems

Back to Top

Example 1: Find the equivaleent octal form of ABCD16

Solution: 125715

Example 2: Find the equivaleent octal form of 91216

Solution: 4422

Example 3: Find the equivaleent octal form of 216

Solution: 2

Example 4: Find the equivaleent octal form of 1016

Solution: 20


*AP and SAT are registered trademarks of the College Board.