HEX to Octal

Hex to Octal Converter

Hex to Octal Converter: A Useful Web Tool

Hexadecimal, octal, decimal, and binary are the four different types of number systems we encounter in the number system. We can transform or interchange these numbers from one form to another. We must first convert hexadecimal to its corresponding decimal number before changing decimal to octal in order to convert hexadecimal numbers to octal numbers.

Review the fundamental definitions of hexadecimal and octal numbers before beginning this conversion.

How Do Hexadecimal Numbers Work?

Base-16 numbers, or hexadecimal numbers, are those. The numbers are represented by 16 distinct digits. It is represented by the hexadecimal value h16. It could consist of both letters and numbers. Thus, it has the letters A to F as well as the digits 0 to 9.

For instance, (AB2)16, (98D1)16, and (AFD) 16

How do octal numbers work?

The base of octal numbers is 8. These numbers are known as octal numbers because they have a total of 8 digits, ranging from 0 to 7. The base of octal numbers is 8. The symbol for it is o8, where o is an octal number. It does not indicate a number within the range of digits 8 and 9, for instance, (112), (275), (45), etc.

Conversion of Hex to Octal

Hexadecimal cannot be easily converted to octal. We must first convert hexadecimal into its corresponding decimal number, then from decimal to octal. To comprehend the procedure, adhere to the procedures below.

• Think about the hexadecimal number displayed.

• The number's digits should first be counted.

• Each digit should be multiplied by 16n-1 if n is the location of the digit from the right end.

• Following multiplication, add the terms.

• The analogous decimal form is called resultant.

• Now, divide the decimal number by eight

• Note the remaining information.

• Up until the quotient is zero, repeat the first two steps using the quotient.

• Reverse the remainders in your writing.

• The result required is the number that is obtained.

Methods to convert Hex into Octal

Another way exists to translate any hexadecimal to its octal counterpart. Since binary digits are included in hexadecimal numbers, we can group these binary numbers into a pair and compare them to octal numbers. Let's examine the procedure using steps and an example:

Write the binary number that corresponds to each digit in the supplied hexadecimal integer. Add 0s to the left side if any of the binary equivalents have less than four digits.

Combine and create the three-digit binary groups that go from right to left. If the final group has fewer than three digits, move 0s to the left. Each binary group's octal equivalent should be found.

Method 1: By using binary numbers

• First, we must do a hex to decimal conversion.

• You can convert a hexadecimal number back into a decimal by multiplying each digit from the far right by 16 to the power of n, where n is the distance from the right.

• If you read the hexadecimal value from right to left, the value of the rightmost digit is 160. The number one place to the right of the decimal point equals 161.

• The formula for a decimal number 10 is: 10 = (d0 160) + (d1 161) +... + (dn - 1 16n - 1)

• In the preceding formula, d0 refers to the most rightmost hex digit, d1 to the digit one position to the right, and dn - 1 to the most leftmost.

Method 2: Converting from Hex to Octal by using decimal numbers

• Long division is used to transform a decimal number to an octal representation. A remainder between zero and seven should be left over after completing the division; record it on the side of the paper.

• Now divide that number by 8 once again to get the answer to the first division problem. As before, the residual should be written to the side of the equation.

• Repeat this procedure until you reach a result of 0.

The remainder you recorded on the margins of your division problems should be written as an octal number. Since the least significant digit will be located at the top of the number and the most significant digit at the bottom, the number is read from bottom to top.

Take a look on example:

• Create an octal representation of the number 1BC16, for instance.

• Given that 1BC16 is a hexadecimal number, this is the best solution.

1→0001,B→1011, C→1100

• Organize these from right to left into groups of three.

000, 110, 111, 100

000→0, 110 →6, 111→7, 100→4

• This means that 1BC16 = 6748

Uses of Hexadecimal Numbers

In order to simplify the binary numbering system, programmers frequently switch to the hexadecimal system. Considering that doubling 16 yields 24, we can say that the relationship between 2 and 16 is linear.

This indicates that four binary digits can be represented by a single hexadecimal digit. Binary is the numbering system used by computers, while hexadecimal is used by humans to simplify and abbreviate binary.

Hexadecimal numbers are used in web page color definitions. Two hexadecimal numbers define each of the three primary colors (red, green, and blue). The code is written in the #RRGGBB format. The letters RR represent red, GG represent green, and BB represent blue.

Hexadecimal is a symbol for MAC addresses (Media Access Control). There are 12 hexadecimal digits in a MAC address. The time is displayed in either MM:MM:MM:SS: SS:SS or MMMM-MMSS:SSSS format. Six of the numbers in the MAC address identify the adapter's manufacturer, and the remaining six indicate the adapter's serial number.

Benefits of Hexadecimal and Octal Numbers

A hexadecimal number's primary benefit is that the string is compact and straightforward to interpret. On the other hand, octal has the benefit of being the second-fastest numbering system after binary. As a result, many programmers have found success by fusing these two numerical systems in order to build a fantastic computational system. The computer just needs a few moments to process whole data after the hexadecimal to octal conversion has been performed.

This concludes the extensive analysis of the efficiency of hexadecimal and octal numbers. Before understanding how to convert hexadecimal to octal, it's a good idea to get familiar with binary and decimal numbers.