Given below are two statements with reference to number systems. In the light of the above statements, choose the most appropriate answer from the options given below.
Statement I:(1011101) in base 2 equals (5D) in base 16.
Statement II:(C2) in base 16 equals (11000010) in base 2.
ABoth Statement I and Statement II are correct ✓ Correct
BBoth Statement I and Statement II are incorrect
CStatement I is correct but Statement II is incorrect
DStatement I is incorrect but Statement II is correct
Correct answer: (A) Both Statement I and Statement II are correct
Explanation
Statement 1 is correct because binary 1011101 padded to 01011101 groups into 0101 and 1101, giving hex 5D.
Statement 2 is correct because hex C2 splits into 1100 and 0010, giving binary 11000010.
The hex digit D stands for thirteen, which is 1101 in four bits.
The hex digit C stands for twelve, which is 1100 in four bits.
Padding the binary to a multiple of four bits makes the grouping clean.
Hex is popular in computing as a shorthand for long binary strings.
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