Need to convert hexadecimal to octal? Our free online Hexadecimal to Octal Converter simplifies base conversion for developers, students, and engineers. Input your hex value and get instant, accurate octal results. Perfect for programming and data representation tasks.
Formula:
The conversion from Hexadecimal to Octal is often performed by first converting the hexadecimal number to its decimal equivalent, and then converting the decimal number to octal.
1. Convert Hexadecimal to Decimal (Base-10):
For a hexadecimal number H = dn...d1d0, its decimal value D is:D = dn × 16n + ... + d1 × 161 + d0 × 160
(where d represents the decimal value of the hex digit, e.g., 'A' = 10, 'F' = 15)
2. Convert Decimal to Octal (Base-8):
Convert the decimal number D to its octal equivalent using successive division by 8.
Example: Convert Hex 1A to Octal
1. Convert 1A (hex) to Decimal:
1 × 161 + 10 × 160 = 16 + 10 = 26 (decimal)
2. Convert 26 (decimal) to Octal:
26 ÷ 8 = 3 remainder 2
3 ÷ 8 = 0 remainder 3
Reading remainders upwards: 32 (octal)