Given below are two statements with reference to different number systems. In the light of the above statements, choose the most appropriate answer from the options given below.

Statement I:(0.6875) in base 10 equals (0.1011) in base 2.

Statement II:(111011.101) in base 2 equals (58.625) in base 10.

ABoth Statement I and Statement II are correct

BBoth Statement I and Statement II are incorrect

CStatement I is correct but Statement II is incorrect ✓ Correct

DStatement I is incorrect but Statement II is correct

Correct answer: (C) Statement I is correct but Statement II is incorrect

Explanation

Statement 1 is correct because 0.1011 in binary equals one half plus one eighth plus one sixteenth, which is 0.6875.

Statement 2 is incorrect since 111011 in binary is 59 not 58, making the value 59.625.

The fractional part 0.101 correctly adds up to 0.625 in both readings.

Only the integer part is misread in the second statement, shifting the result by one.

Each binary place after the point represents a halving of the previous weight.

Converting the fraction means multiplying repeatedly by two and reading the carries.

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