Given below are two statements : Statement (I) : (21E)16 = (541)10 Statement…
2023
Given below are two statements :
Statement (I) : (21E)16 = (541)10
Statement (II) : (257)10 = (101)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
Attempted by 41 students.
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Correct answer: D
Convert (21E)16 to decimal: 2×16² + 1×16 + E = 2×256 + 16 + 14 = 542, not 541, so Statement I is incorrect. Convert (101)16 to decimal: 1×16² + 0×16 + 1 = 257, so Statement II is correct. Therefore, option D is correct.