Given below are two statements: Statement (I) : (1011101)2 = (5D)16 Statement…

2023

Given below are two statements:
Statement (I) : (1011101)2 = (5D)16
Statement (II) : (C2)16 = (11000010)2 In the light of the above statements,

choose the most appropriate answer from the options given below:

  1. A.

    Both Statement I and Statement II are correct

  2. B.

    Both Statement I and Statement II are incorrect

  3. C.

    Statement I is correct but Statement II is incorrect

  4. D.

    Statement I is incorrect but Statement II is correct

Attempted by 102 students.

Show answer & explanation

Correct answer: A

Statement (I): Convert binary (1011101)₂ to hexadecimal. Group bits from right: 0101 = 5, 1101 = D. So, (1011101)₂ = (5D)₁₆. Statement is correct. Statement (II): Convert hexadecimal (C2)₁₆ to binary. C = 1100, 2 = 0010. So, (C2)₁₆ = (11000010)₂. Statement is correct. Therefore, both statements are true.

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