Convert octal to hex, w/out converting to Binary

[NW8800]

I am trying trying to convert a from octal to hex and hex to octal without using binary/dec transform using repeated divison... Logically I thought I could use the hex base in octal for repeat division which is 20 oct

Example of problem I am trying to solve,

Convert 326 octal to hex (ans 0xD6)


326 oct / 20 oct = 16 oct remainder 6 oct = 0x6

16 oct / 20 oct = 0 oct remainder 16 oct = 14 dec = 0xE!??

Reading UP^ most sig to least gives me 0xE6 not D6 i.e. I am off by 1 hex char..?

Another example 372 oct

372oct /20 oct = 18 r 12
18/20 = invalid octal number lol!

Also how would I do hex straight to octal I.e. E7C -> oct?



Please help...

 

[Valkarie]

To convert from octal to hex, you can use the following method:1. Convert each digit of the octal number to binary.2. Group the binary numbers into groups of four.3. Convert each group of four binary numbers to a single hexadecimal digit.For example, to convert 326 octal to hex:1. Convert each digit to binary: 3 = 0011 2 = 0010 6 = 01102. Group the binary numbers into groups of four:0011 0010 01103. Convert each group of four binary numbers to a single hexadecimal digit:0011 = 3 0010 = 2 0110 = 6Therefore, 326 octal = 0xD6 hex.To convert from hex to octal, you can use the following method:1. Convert each hexadecimal digit to four binary digits.2. Group the binary numbers into groups of three.3. Convert each group of three binary numbers to a single octal digit.For example, to convert 0xE7C hex to octal:1. Convert each hexadecimal digit to four binary digits: E = 1110 7 = 0111 C = 11002. Group the binary numbers into groups of three:111 001 110 1003. Convert each group of three binary numbers to a single octal digit:111 = 7 001 = 1 110 = 6 100 = 4Therefore, 0xE7C hex = 7614 octal.

 

[piercas]

Hi there, it seems like you are trying to convert octal numbers to hex without using binary or decimal transformations. While this is possible, it can be quite tricky and requires a good understanding of the number systems involved. I will try to provide some guidance to help you with your problem.

Firstly, let's review the conversion process for octal to hex. In octal, the base is 8 and in hex, the base is 16. This means that for every 8 digits in octal, there is 1 digit in hex. So, we can divide the octal number into groups of 3 digits and then convert each group to hex separately.

Let's take your first example, 326 octal. We can divide it into 3 groups: 3, 2, and 6. Now, to convert each group to hex, we can use the following chart:

Octal | Hex
------|-----
0 | 0
1 | 1
2 | 2
3 | 3
4 | 4
5 | 5
6 | 6
7 | 7

As you can see, the values in octal and hex are the same for numbers 0-7. So, for the first group (3), we can simply write it as 3 oct = 3 hex. For the second group (2), we can write it as 2 oct = 2 hex. And for the third group (6), we can write it as 6 oct = 6 hex.

Therefore, our converted hex number is 326 oct = 326 hex. However, since we are trying to convert it without using binary or decimal, we need to represent the hex number in octal. To do this, we can again divide the hex number into groups of 3 digits and convert each group to octal.

So, 326 hex can be divided into 3, 2, and 6. Using the same chart as before, we can write 3 hex = 3 oct, 2 hex = 2 oct, and 6 hex = 6 oct. Therefore, our final converted octal number is 326 oct.

Now, let's take a look at your other example, 372 oct. When we divide it into groups of 3 digits, we get 3, 7, and 2. Using