Which of the following statement(s) is/are TRUE ? S1 : The decimal number 11…
2017
Which of the following statement(s) is/are TRUE ?
S1 : The decimal number 11 is larger than the hexadecimal number 11.
S2 : In the binary number 1110.101, the fractional part has the decimal value as 0.625.
- A.
S1 only
- B.
S2 only
- C.
Both S1 and S2
- D.
Neither S1 nor S2
Attempted by 460 students.
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Correct answer: B
S1: The decimal number 11 is 11. The hexadecimal number 11 (1116) is (1×161)+(1×160)=16+1=17. Therefore, 11 (decimal) is smaller than 11 (hex). S1 is FALSE.
S2: The fractional part is .1012. The decimal value is (1×2−1)+(0×2−2)+(1×2−3)=0.5+0+0.125=0.625. S2 is TRUE.
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