# HEX to Octal

**System of Hexadecimal Numbers:**

Hexadecimal, often known as base** 16 or hex,*** is a positional numeric system used in mathematics and computers*. Its base, or radix, is 16. It employs sixteen different symbols, the most common of which are **0-9 for values 0 to 9,** and A,B,C,D,E,F (or alternatively a, b, c, d, e, f) for values **10 to 15.**

**System of octal numbers**

*The base-8 number system known as "oct," or just "oct," employs the digits 0 to 7 to represent numbers. By arranging a series of binary digits in groups of three, it is possible to create octal numerals (starting from the right).*

**Hexadecimal to Octal Conversion****There are four main sorts of number systems that you may encounter while learning the number system. Hexadecimal, octal, decimal, and binary number systems make up the majority of these number representations.** It is absolutely possible to convert between different decimal systems. How are we supposed to convert? A hexadecimal number can be converted to an octal number in two easy steps: first, you need to convert the hexadecimal number to its decimal counterpart, and then you need to convert this decimal value to an octal decimal number. **An extensive description of how to convert such numbers can be found in this article.**

**Approach 1**

*A hexadecimal number cannot be simply converted to an octal decimal number. The hexadecimal number must first be converted to its decimal equivalent, which must then be converted to an octal decimal number. The actions listed below can help you comprehend better.*

**Take note of the hexadecimal number provided.**

*Make a note of the number's digits by counting them and adding them up.*

*If x is the distance from the right end of the digit, multiply each digit by 16x-1.*

*After multiplying the terms, determine their sum.*

*The outcome is presented in an equivalent decimal form.*

*Divide the resultant decimal by eight.*

*Put the amount of the remainder in writing.*

*Steps 6 and 7 with the quotient should be repeated until*