The discussion revolves around converting the octal number 421 (base 8) into various binary representations, specifically nibbles, bytes, words, and long words. Participants explore the necessary bit requirements for octal digits and how to represent the octal number in different data types.
While there is some agreement on the bit requirements and the binary representations, the discussion includes multiple viewpoints on the conversion process and the representation of nibbles, indicating that not all aspects are settled.
Participants express assumptions about the representation of nibbles and the handling of bits, but these assumptions are not universally agreed upon, leaving some aspects of the discussion unresolved.
bergausstein said:Hi markfl! digits in octal take 3 bits.
MarkFL said: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 said: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 said: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 said:In bytes 00000001 00010001
In word 0000000100010001
In long word 00000000000000000000000100010001
Are my answers correct?