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Hex to Octal



This converter converts the given hex number to octal number.

Hex to Octal

Hexadecimal to octal conversion is the process of converting a hexadecimal (base-16) number into its octal (base-8) representation.

In the hexadecimal system, numbers are represented using the digits 0 through 9 and the letters A to F.

Steps to Convert Hexadecimal to Octal

Here are the steps to convert a hexadecimal number to octal:

  1. Convert each hexadecimal digit to its equivalent 4-bit binary representation.
  2. Group the binary digits into sets of three, starting from the right.
  3. Convert each group of three binary digits to its equivalent octal representation.
  4. If necessary, add leading zeros to make each group have three digits.
  5. Concatenate the octal representations to get the final result.

Example

Let's take an example to illustrate the process. Suppose we want to convert the hexadecimal number 1A3 to octal:

  1. Convert each hexadecimal digit to its 4-bit binary representation: 0001 1010 0011.
  2. Group the binary digits into sets of three: 000 110 100 011.
  3. Convert each group to octal: 0 6 4 3. You may leave out the leading zeroes making the answer 643.

Therefore, 1A3 in hexadecimal is equal to 643 in octal.