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 567_{8}:

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

Solution: 567_{8} equals 101 110 111_{2}

Remove the conversion from the format:

101110111_{2}

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

An octal fraction (.123_{8}) is converted in the same manner, as shown below:

Solution: .123_{8} equals .001010011_{2}

Apply these principles to convert mixed numbers as well.

Convert 32.25_{8} to binary:

Solution: 32.25_{8} equals 011010.010101_{2}

Convert the following numbers to binary:

Q.77 73_{8}.

Q.78 512_{8}.

Q.79 403_{8}.

Q.80 0.456_{8}.

Q.81 0.73_{8}.

Q.82 36.5_{8}.