Octal to Binary Conversion

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Octal to Binary Conversion

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We can also use the mapping method to convert an octal number into its equivalent binary number. In this method, we just replace each digital of the given octal number by its 3-bit binary equivalent.

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Let’s understand the conversion of octal number to binary equivalent with the help of examples.

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Example 1

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Convert (3572.126)₈ to binary equivalent.

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Solution

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The given octal number is converted into binary equivalent as follows −

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Hence, the binary equivalent of (3572.126)₈ is (011101111010.001010110)₂.

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Example 2

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Convert (364.52)₈ to its binary equivalent.

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Solution

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The conversion of given octal number to its equivalent binary number is given below −

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Thus, the binary equivalent of the octal number (364.52)₈ is (011110100.101010)₂.