Consider the following statements Statement I: The decimal number 11 is larger than the hexadecimal number 11.

Question

Consider the following statements:

Statement I: The decimal number 11 is larger than the hexadecimal number 11.

Statement II: In the binary number 1110.101, the fractional part has the decimal value as 0.625.

Which statement(s) is/are TRUE?

1. A. S I Only
2. B. S II Only (Correct answer)
3. C. Both S I and S II
4. D. Neither S I nor S II

Correct Answer

Option B — S II Only

Detailed Solution & Explanation

The correct answer is S II Only.

Key Points

• Decimal 11 = 11. Hexadecimal 11 = 1x16+1 = 17. So decimal 11 < hex 11, making Statement I FALSE.
• Binary 0.101 = 0.5+0+0.125 = 0.625. Statement II is TRUE.