Paper 1 · ICT
UGC NET December 2022 (05.03.2023) Shift-II
Given below are two statements. Statement I: (240) in base 10 equals (11110000) in base 2. Statement II: (101011111101010) in base 2 equals (57EA) in base 16. In the light of the above statements, choose the most appropriate answer from the options given below.
- Statement I: (240) in base 10 equals (11110000) in base 2.
- Statement II: (101011111101010) in base 2 equals (57EA) in base 16.
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 — Both statements are correct, so the answer is that both Statement I and Statement II are correct.
Explanation
★Both statements are correct, so the answer is that both Statement I and Statement II are correct.
★The number 240 is 128 plus 64 plus 32 plus 16, which is 11110000 in binary.
★So statement I is correct.
★The binary number groups into four-bit blocks as 0101, 0111, 1110 and 1010.
★These blocks convert to the hexadecimal digits 5, 7, E and A.
★So the binary number equals 57EA in base 16, making statement II correct.
★Therefore both statements are correct.
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