Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?
Topic-wise GATE CS PYQs with verified steps
GATE CSE 2024 Set 2 · Q49
Time
Select all that applyOne or more correct
Solution
Official answer: A) 64 in radix-10; B) 100 in radix-8; D) 121 in radix-7
Number Representation and ArithmeticTo find which options are equivalent, convert into decimal (radix-10):
Now, convert each option to decimal:
Option A: in radix-10 is . *(Matches)*
Option B: . *(Matches)*
Option C: . *(Does not match)*
Option D: . *(Matches)*
Therefore, options A, B, and D are correct.
Try the question first, then check your work.
Examiner trap
Convert the given base-5 number into base-10 first by calculating , then evaluate each option in base-10 to compare.
This Number Representation and Arithmetic previous year question is Q49 of the GATE CSE 2024 Set 2 paper. Find more GATE CSE PYQs on Number Representation and Arithmetic in Digital Logic, or browse all GATE CSE PYQs.
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Number Representation and Arithmetic has 33 GATE CSE PYQs across 20 papers from 2012 to 2026. 2 of them are 2-mark MSQs like this one, and GATE CSE 2024 Set 2 has 2.
How GATE tests Number Representation and ArithmeticIndependent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.