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    Given below are two statements: Statement - I: (25)16=(00100101)2(25)_{16} = (00100101)_2(25)16​=(00100101)2​Statement - II: (00011011)2=(1
    Question

    Given below are two statements:
    Statement - I: (25)16=(00100101)2(25)_{16} = (00100101)_2
    Statement - II: (00011011)2=(1B)16(00011011)_2 = (1B)_{16}​​
    In the light of the above statements, choose the most appropriate answer from the options given below: ​​

    A.

    Both Statement I and Statement II are correct.

    B.

    Both Statement I and Statement II are incorrect.

    C.

    Statement I is correct but Statement II is incorrect.

    D.

    Statement I is incorrect but Statement II is correct.

    Correct option is A

    Statement - I: (25)16=(00100101)2\bf{(25)_{16} = (00100101)_2}​ (True):
    To convert a hexadecimal number to binary, you can convert each hexadecimal digit to its 4-bit binary equivalent.
    (2)16=(0010)2(2)_{16} = (0010)_2​​
    (5)16=(0101)2(5)_{16} = (0101)_2​​
    So, (25)16=(00100101)2(25)_{16} = (00100101)_2​​
    Statement - II: (00011011)2=(1B)16(00011011)_2 = (1B)_{16}​ (True):
    To convert a binary number to hexadecimal, you can group the binary digits into sets of 4 and convert each set to its hexadecimal equivalent.
    (0001)2=(1)16(0001)_2 = (1)_{16}​​
    (1011)2=(B)16(1011)_2 = (B)_{16}​​
    So, (00011011)2=(1B)16(00011011)_2 = (1B)_{16}​​
    Therefore, the correct answer is:
    (a) Both Statement I and Statement II are correct.

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