Hex to Octal

Convert hexadecimal numbers to octal effortlessly

Converter Tool

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Enter a hexadecimal number (0-9, A-F). The '0x' prefix is optional. The conversion will automatically handle both positive and negative numbers.

Binary Representation:

Decimal Representation:

About Number Systems

Hexadecimal System

The hexadecimal numeral system, or hex for short, is a base-16 number system that uses the digits 0-9 and the letters A-F to represent values 10-15. Hexadecimal is commonly used in computing and digital electronics because it provides a more human-friendly representation of binary-coded values.

Octal System

The octal numeral system, or oct for short, is the base-8 number system, and uses the digits 0 to 7. Octal numerals can be made from binary numerals by grouping consecutive binary digits into groups of three (starting from the right).

Hexadecimal to Octal Conversion Table

Hexadecimal Octal Hexadecimal Octal
0 0 8 10
1 1 9 11
2 2 A 12
3 3 B 13
4 4 C 14
5 5 D 15
6 6 E 16
7 7 F 17

Conversion Process

Converting from hexadecimal to octal involves two main steps:

  1. Convert each hexadecimal digit to its 4-bit binary equivalent.
  2. Group the resulting binary digits into sets of three (starting from the right), and convert each group to its octal equivalent.

Example: Convert Hex "1A" to Octal

Step 1: Convert each hex digit to 4-bit binary:

1 → 0001

A → 1010

Combined: 0001 1010

Step 2: Group binary digits into sets of three (from right):

000 110 100

Step 3: Convert each 3-bit group to octal:

000 → 0

110 → 6

100 → 4

Result:

064 (leading zeros can be omitted: 64)

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