1-51Q76.110111.010101_{2}.OCTAL CONVERSIONThe conversion of one number system to another, as we explained earlier, is done to simplifycomputer programming or interpreting of data.Octal to BinaryFor some computers to accept octal data, the octal digits must be converted to binary. This process isthe reverse of binary to octal conversion.To convert a given octal number to binary, write out the octal number in the following format. Wewill 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:

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