Converting Octal 421 to Nibble, Byte, Word & Long Word

[bergausstein]

We are asked to convert the octal number 421(base 8) to nibble, byte, word and long word. Please help me how to go about it. I know that a nibble is half-byte wihich has 4 bits in it. But to cconvert an octal number to nibble is something I don't know how to do please help me. Thanks.

 

[MarkFL]

How many bits does it take to store each digit of an octal number?

 

[bergausstein]

Hi markfl! digits in octal take 3 bits.

 

[MarkFL]

Hi markfl! digits in octal take 3 bits.

Correct, since each octal digit can take one of 8 values (0-7) and $8=2^3$. So, a 3 digit octal number will require 9 bits, which means how many nibbles will be required?

 

[bergausstein]

Correct, since each octal digit can take one of 8 values (0-7) and $8=2^3$. So, a 3 digit octal number will require 9 bits, which means how many nibbles will be required?

It will take 2 nibbles a 1 bit?

So, 4 = 100, 2 = 010 , 1 = 001. In binary, 100010001.

In nibbles, 1 0001 0001. Is this correct?

 

[MarkFL]

It will take 2 nibbles a 1 bit?

So, 4 = 100, 2 = 010 , 1 = 001. In binary, 100010001.

In nibbles, 1 0001 0001. Is this correct?

I am assuming we cannot have "partial nibbles" so we would need $$\left\lceil\frac{9}{4}\right\rceil=3$$ nibbles:

0001 0001 0001

How about the other data types?

 

[bergausstein]

I am assuming we cannot have "partial nibbles" so we would need $$\left\lceil\frac{9}{4}\right\rceil=3$$ nibbles:

0001 0001 0001

How about the other data types?

In bytes 00000001 00010001


In word 0000000100010001

In long word 00000000000000000000000100010001

Are my answers correct?

 

[MarkFL]

In bytes 00000001 00010001


In word 0000000100010001

In long word 00000000000000000000000100010001

Are my answers correct?

Yes, I agree with your answers. (Yes)