Hexa to octal

Answer 1

The best way is to first convert hexadecimal to binary and then to octal.

For example the hexadcimal number B4EA is in binary:

B 4 E A

1011 0100 1110 1010

Thus B4EA (hexadecimal) = 1011010011101010 (binary)

We add leading zeros to the binary number in order to be able to divide the number in sets of 3 digits. Then we convert easy to octal as follows:

001 011 010 011 101 010

1 3 2 3 5 2

Therefore 1011010011101010 (binary) = 132352 (octal)

and from here you have your result:

B4EA (hexadecimal) = 132352 (octal)

Answer 2

To convert any base to any other base, such as from hexadecimal to octal, iteratively divide by the target base, using the rules of arithmetic of the source base, recording the remainders in reverse order, until the result is zero.

For instance, to convert from 0x9B to 0233, the steps are...

9B / 8 = 13 remainder 3

13 / 8 = 2 remainder 3

2 / 8 = 0 remainder 2

Answer 3

An intuitive way to convert HEX to OCT is to convert HEX to BIN, then to OCT, like this:

Let's suppose we got the following HEX number:

1A

We convert it to BIN, knowing that each HEX digit generates 4 BIN digits:

1 A (HEX)

0001 1010 (BIN)

1A (HEX) = 00011010

Now you know that 3 BIN digits generate an OCT number, so split the BIN number into 3-digits BIN numbers, starting from the right (you add zeros if leftmost number is alone):

000 011 010 (BIN)

0 3 2 (OCT)

00011010 (BIN) = 032 (OCT)

So 1A (HEX) = 32 (OCT)