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    Octal equivalent of the Binary number (10110)2(10110)_2(10110)2​​ is:
    Question

    Octal equivalent of the Binary number (10110)2(10110)_2​ is:

    A.

    26

    B.

    52

    C.

    62

    D.

    16

    Correct option is A

    To convert the binary number (10110)2(10110)_2​ to its octal equivalent, follow these steps:
    1. Group the binary number in groups of 3 bits starting from the right:
    1011001011010110 \rightarrow 010110​​
    (We add an extra 0 on the left to make a complete group of 3.)
    2. Convert each group of 3 binary digits into their octal equivalent:
    · 010 in binary is 2 in octal.
    · 110 in binary is 6 in octal.
    3. Combine the octal digits:
    · The result is 26 in octal.
    Thus, the octal equivalent of the binary number (10110)2(10110)_2​ is 26.
    Important Key Points:
    1. Binary to Octal Conversion: Group the binary number into sets of 3 digits, starting from the right. If necessary, add leading zeros. Then, convert each group to its octal equivalent.
    2. Octal Representation: Octal uses base 8, so each group of 3 binary digits corresponds to a single octal digit.

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