Hexadecimal to Octal Converter

Table of Contents

• How does hexadecimal to octal conversion work?
• Hexadecimal to octal conversion method
• Example #1
• Example #2
• Hexadecimal to octal conversion table

How does hexadecimal to octal conversion work?

Converting a hexadecimal number to octal is done through an intermediate step where the hexadecimal number is first converted to decimal or binary, then that result is converted to octal. This conversion is used in computing and electronics because both the hexadecimal and octal systems are more compact than binary for representing large amounts of data.

Hexadecimal to octal conversion method

There is no direct formula for converting hexadecimal to octal, but the following method can be used:

1. Convert each hexadecimal digit to its binary equivalent (4 bits).
2. Group the binary bits into sets of 3, starting from the right.
3. Convert each group of 3 bits to its octal equivalent.

Example #1

Convert the hexadecimal number 1F to octal:

1. Convert each hexadecimal digit to binary:
   • 1 in binary: 0001
   • F in binary: 1111
   Binary result: 00011111
2. Group into sets of 3 bits: 000 | 011 | 111
3. Convert each group to octal:
   • 000 = 0
   • 011 = 3
   • 111 = 7

Octal result: 37

Example #2

Convert the hexadecimal number 3C7 to octal:

1. Convert each hexadecimal digit to binary:
   • 3 in binary: 0011
   • C in binary: 1100
   • 7 in binary: 0111
   Binary result: 001111000111
2. Group into sets of 3 bits: 001 | 111 | 000 | 111
3. Convert each group to octal:
   • 001 = 1
   • 111 = 7
   • 000 = 0
   • 111 = 7

Octal result: 1707

Hexadecimal to octal conversion table