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 \(\displaystyle \left\lceil\frac{9}{4}\right\rceil=3\) 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?
To convert Octal 421 to Nibble, you will need to break the octal number into individual digits. In this case, you would have 4, 2, and 1. Then, you will need to convert each digit into its binary equivalent. Finally, you can combine the binary digits into groups of 4, which will give you the Nibble representation of Octal 421.
To find the Byte representation of Octal 421, you will need to follow the same steps as converting to Nibble. However, instead of grouping the binary digits into groups of 4, you will group them into groups of 8. This will give you the Byte representation of Octal 421.
The conversion to Word is similar to converting to Nibble and Byte. First, you will need to convert each digit of the octal number into its binary equivalent. Then, you will group the binary digits into groups of 16, which will give you the Word representation of Octal 421.
The Long Word representation of Octal 421 is the largest representation of the number in binary form. To convert to Long Word, you will need to follow the same process as converting to Nibble, Byte, and Word, but group the binary digits into groups of 32.
Converting Octal numbers to different representations is important because it allows for easier manipulation and storage of data in computer systems. Different representations allow for different levels of precision and can be useful in different types of calculations. Additionally, some programming languages may only support certain representations, so being able to convert between them is necessary for writing efficient code.