Octal to Hexadecimal Converter

Table of Contents

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

How does octal to hexadecimal conversion work?

The conversion from octal to hexadecimal is not direct, as the octal system (base 8) and the hexadecimal system (base 16) do not have an immediate relationship like binary to hexadecimal conversion. To convert an octal number to hexadecimal, an intermediate conversion to binary or decimal is typically used before converting to hexadecimal.

Octal to hexadecimal conversion method

1. Convert from octal to binary: Each octal digit is converted to its 3-bit binary equivalent.
2. Group bits in blocks of 4: Once the number is in binary, group the bits in sets of 4, starting from the right. Add leading zeros if necessary to complete a group.
3. Convert from binary to hexadecimal: Each group of 4 bits is converted to its hexadecimal equivalent.

Example #1

Convert the octal number 745 to hexadecimal.

1. Convert each digit to binary:
   • 7 = 111
   • 4 = 100
   • 5 = 101
   The number in binary is: 111100101.
2. Group into blocks of 4 bits: 0001 1110 0101
3. Convert each group of 4 bits to hexadecimal:
   • 0001 = 1
   • 1110 = E
   • 0101 = 5

Result: The octal number 745 is 1E5 in hexadecimal.

Example #2

Convert the octal number 123 to hexadecimal.

1. Convert each digit to binary:
   • 1 = 001
   • 2 = 010
   • 3 = 011
   The number in binary is: 001010011.
2. Group into blocks of 4 bits: 0000 0101 0011
3. Convert each group of 4 bits to hexadecimal:
   • 0000 = 0
   • 0101 = 5
   • 0011 = 3

Result: The octal number 123 is 53 in hexadecimal.

Octal to hexadecimal conversion table