Octal Numbers
Octal Numbers are very similar in principle to the previous hexadecimal
numbering system except that in Octal a binary number is divided up into groups of only 3 bits, with each group
or set of numbers having a value of between "000" (0) and "111"
(4+2+1=7) giving a range of just 8, (0 to 7) therefore q = "8".
Then the main characteristics of an Octal Numbering System is that there are 8 distinct
counting digits from 0 to 7 with each digit having a weight or
value of just 8 starting from the least significant bit (LSB).
Example No1.
Using our previous binary number of
11010101110011112 converting it into the octal equivalent is shown as follows.
| Binary Digit Value |
001101010111001111 |
|
| Group the bits into three´s starting from the right hand side |
001 101 010 111 001 111 |
|
| Octal Number form |
1 5 2 7 1 78 |
Thus, 0011010101110011112 in its Binary form is equivalent to
1527178 in Octal form.
| 
