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    Binary equivalent of the decimal number (11)₁₀ is:
    Question

    Binary equivalent of the decimal number (11)₁₀ is:

    A.

    1101

    B.

    1001

    C.

    1111

    D.

    1011

    Correct option is D


    To convert the decimal number 11 to its binary equivalent, we can repeatedly divide the number by 2 and record the remainders:
    1. 11 ÷ 2 = 5 remainder 1
    2. 5 ÷ 2 = 2 remainder 1
    3. 2 ÷ 2 = 1 remainder 0
    4. 1 ÷ 2 = 0 remainder 1
    Now, write the remainders from bottom to top: 1011
    Thus, the binary equivalent of the decimal number 11 is 1011.
    Important Key Points:
    1. Decimal to Binary Conversion: Divide the decimal number by 2, keep track of the remainders, and then read the remainders from bottom to top.
    2. Binary Representation: Each digit in a binary number represents a power of 2, starting from the rightmost digit.

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