Paper 1 · ICT
UGC NET June 2024 Cancelled (18.06.2024) Shift-II
If (L)M represents a number L in the base-M number system, then identify the correct ascending order of the following numbers when converted to a base-10 number system. Choose the correct answer from the options given below.
- 1. (8B)16
- 2. (212)8
- 3. (260)7
- 4. (10001101)2
A1, 2, 3, 4
B2, 1, 3, 4 ✓ Correct
C4, 3, 2, 1
D2, 3, 1, 4
Correct answer: (B) 2, 1, 3, 4 — The ascending order is (212)8, (8B)16, (260)7, (10001101)2, so the answer is 2, 1, 3, 4.
Explanation
★The ascending order is (212)8, (8B)16, (260)7, (10001101)2, so the answer is 2, 1, 3, 4.
★Converting each number to base 10 makes them comparable.
★(212)8 equals 2 times 64 plus 1 times 8 plus 2, which is 138.
★(8B)16 equals 8 times 16 plus 11, which is 139.
★(260)7 equals 2 times 49 plus 6 times 7, which is 140.
★(10001101)2 equals 141, so ascending order is 138, 139, 140, 141, giving 2, 1, 3, 4.
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