Given below are two statements : Statement I : (25)16 = (00100101)2 Statement…
2023
Given below are two statements :
Statement I : (25)16 = (00100101)2
Statement II : (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
Attempted by 109 students.
Show answer & explanation
Correct answer: A
Statement I converts hexadecimal 25 to binary by mapping each digit: the value 2 becomes 0010 and the value 5 becomes 0101, forming 00100101. This confirms Statement I is mathematically accurate. Statement II converts binary 00011011 to hexadecimal by grouping bits into nibbles: the first group 0001 equals 1 and the second group 1011 equals B, forming 1B. This confirms Statement II is also accurate. Since both statements are valid conversions, Option 0 is the correct answer.