Octal to Hexadecimal and Hexadecimal to Octal Conversion

Hexadecimal to Octal Conversion

Conversion of hexadecimal to octal cannot be done directly. Firstly we need to convert hexadecimal into its equivalent decimal number then decimal to octal. Follow the steps below to understand the process.

• Consider the given hexadecimal number
• First count the number of digits in the number
• If n is the position of the digit from the right end then multiply each digit with 16^n-1
• Add the terms after multiplication
• Resultant is the equivalent decimal form
• Divide the decimal number with 8
• Note down the remainder
• Continue step 6 and 7 with the quotient, until the quotient is zero
• Write the remainders in reverse order
• The obtained number is the required result.

Another Method to Convert Hex to Octal

There is an another method to convert any hexadecimal to its equivalent octal. As we know hexadecimal numbers include binary digits, therefore we can club these binary numbers into pair of three so that we can relate it with the octal numbers. Let us check the method with steps and example:

• For each given hexadecimal number digit, write the equivalent binary number. If any of the binary equivalents are less than 4 digits, add 0’s to the left side.
• Combine and make the groups of binary digits from right to left, each containing 3 digits. Add 0’s to the left if there are less than 3 digits in the last group.
• Find the octal equivalent of each binary group.

Here we discussed about the second method which is comparetively easier than the first method

Assignments

Hexadecimal to Octal Convertion :
1) (500)16 = (?)8
2) (2DC5)16 = (?)8
3) (8B3)16 = (?)8
4) (4587)16 = (?)8
5) (AB9)16 = (?)8
6) (6FC)16 = (?)8
7) (6678)16 = (?)8
8) (ED55)16 = (?)8
9) (76F)16 = (?)8
10) (BCD)16 = (?)8
11) (50A)16 = (?)8

Method for Octal to Hexadecimal Conversion

This conversion can be done by following the same method of Hex to Octal conversion but in reverse way. To understand this follow our lecture.

Assignments

Octal to Binary COnvertion :
1) (500)8 = (?)16
2) (2555)8 = (?)16
3) (1500)8 = (?)16
4) (113)8 = (?)16
5) (71)8 = (?)16
6) (105)8 = (?)16
7) (211)8 = (?)16
8) (110)8 = (?)16
9) (46)8 = (?)16
10)(21)8 = (?)16
11)(121)8 = (?)16

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