OCTAL CONVERSION

The conversion of one number system to another, as we explained earlier, is done to simplify computer programming or interpreting of data.

Octal to Binary

For some computers to accept octal data, the octal digits must be converted to binary. This process is the reverse of binary to octal conversion.

To convert a given octal number to binary, write out the octal number in the following format. We will convert octal 567₈:

Next, below each octal digit write the corresponding three-digit binary-coded octal equivalent:

Solution: 567₈ equals 101 110 111₂

Remove the conversion from the format:

101110111₂

As you gain experience, it may not be necessary to use the block format.

An octal fraction (.123₈) is converted in the same manner, as shown below:

Solution: .123₈ equals .001010011₂

Apply these principles to convert mixed numbers as well.

Convert 32.25₈ to binary:

Solution: 32.25₈ equals 011010.010101₂

Convert the following numbers to binary:

Q.77 73₈.
Q.78 512₈.
Q.79 403₈.
Q.80 0.456₈.
Q.81 0.73₈.
Q.82 36.5₈.