What will be binary equivalent of (562)8 ?

2024

What will be binary equivalent of (562)8 ?

  1. A.

    1011100102

  2. B.

    1011000102

  3. C.

    1111100102

  4. D.

    1011100112

Attempted by 67 students.

Show answer & explanation

Correct answer: A

To convert a number from Octal (Base-8) to Binary (Base-2), you simply need to replace each individual octal digit with its equivalent 3-bit binary group.

Step-by-step Conversion:

  • The digit 5 in binary is 101

  • The digit 6 in binary is 111

  • The digit 2 in binary is 010

Now, group the 3-bit binary groups together in the exact same order:

(5)8 ->101

(6)8 -> 111

(2)8 -> 010

Combining them gives: (101110010)2.

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