CONVERSION BETWEEN OCTAL AND BINARY SYSTEMS ... As you have no

doubt observed by this time, writing out and reading numbers in natural binary form is quite a nuisance because of the large number of digits involved. Since it is easy to convert natural binary numbers into octal numbers, it is practical to write or machine print out natural binary numbers as octal numbers for ease in handling. A couple of examples will show you how the conversions are made.

EXAMPLE  ... Convert binary number 1011010 to the octal equivalent.  

SOLUTION . . . The first step is to rewrite the number with the digits grouped in threes:

001 011 010  

Note that two zeros were placed in front of the first digit 1 in order to make every group complete.   

Next, write the decimal equivalent over each group of three:

1     3     2

001 011 010  

The octal equivalent of binary 1011010 is 132.