UGC NET Paper 1 GA 2017 Jan Solved Paper

Question : 37 of 60

Marks: +1, -0

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.

S1 only
S2 only
Both S1 and S2
Neither S1 nor S2

Validate

Solution:

Hexadecimal Number 11 to decimal = 16 + 1 = 17.
Obviously this will be much bigger than decimal number 11. So first statement (SI) is wrong. In second statement, we’ve to find the decimal value of

(0.101)_2

So,

1 × 2^{-1} + 0 × 2^{-2} + 1 × 2 ^{-3}

= 0.5 + 0 + 0.125= 0.625

Hence, second statement (S2) is right.

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