Hexadecimal to Octal Converter

Hexadecimal to Octal

Hex to Octal Converter is an online tool for conversion in digital electronics & communications between octal & hex number systems. The 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E & F numbers and alphabets are known as hexadecimal numbers and represented by base-16. Whereas the 0, 1, 2, 3, 4, 5, 6 & 7 digits are generally known as octal numbers represented by base-8. The hex to octal table can be useful in understanding how to manually perform such hex-octal conversions. Using this hex to octal converter, users can find the equivalent octal numbers.

Hexadecimal Numeric System

Hexadecimal describes a numbering system containing 16 sequential numbers, including 0, as base units.

The hexadecimal numbers are 0-9 and the letters A-F are then used.  The example in the table below shows the equivalence of binary, decimal, and hexadecimal numbers.

Octal Numeric System

Octal numbers only use 0-7 digits. It is known as the number of base-8. The place value of each octal number digit varies as the total number of 8 powers starting from the right (Least Significant Digit). In the octal system, the first single digit number is 0 and the last one is 7. Likewise, 10 is the first two digit octal number and 77 is the last. In early computers, the octal number system was widely used.

How to convert hexadecimal to octal

1. For each digit of the given hexadecimal number, find the equivalent binary number. If any of the binary equivalents are shorter than 4 bits, add 0's to the left.
2. Separate the binary digits from right to left into groups, each containing 3 bits or digits. Add 0s to the left if there are less than 3 bits in the last group.
3. Find each binary group's octal equivalent.

Why Octal and hexadecimals are easier than binary?

Because binary numeric system requires so many bits to represent relatively small numbers compared to the decimal system. Analyzing digital electronic circuitry's numerical states can be a tedious task. Computer programmers who design sequences of number codes to instruct a computer what to do would have a very difficult task if they were forced to work with nothing but long strings of 1's and 0's, any digital circuit's "native language." To make "speaking" this language of the digital world easier for human engineers, technicians, and programmers, other place-weighted numeration systems have been developed that are very easy to convert to and from binary.

One such numbering system is called octal because it is a place-weighted system with an eight base. These are 0, 1, 2, 3, 4, 5, 6, and 7 symbols. Each place weight differs by a factor of eight from the next one.

Another system is called hexadecimal, as it is a place-weighted system with a sixteen base. These include the standard decimal symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, plus six alphabetical characters A, B, C, D, E, and F, for a total of 16. As you may already have guessed, by a factor of sixteen, each place weight differs from the one before it.

To convert hex to number you can use our hext to octal calculator for quick, accurate, and precise conversion.

For more conversions between binary, decimal, and hexadecimal numeric sysytem, you can use our free Decimal to Hex, Binary to Hex, Hex to Binary, Octal to Hex converter.

Hex to Octal Table