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GATE CSE 2024 Session 2 Q49: Numbers equal to 224 in base 5

Question

Which of the following is/are EQUAL to 224 in radix-5 (i.e., base-5) notation?

Try it: multiple select: one or more correct options

Select one or more options
Select all correct options. No negative marking, no partial marks.
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Answer: A, B, D (official GATE 2024 final answer key)

Concept used: Convert every numeral to decimal using positional weights.

First step: (224)5=2⋅25+2⋅5+4(224)_5 = 2 \cdot 25 + 2 \cdot 5 + 4; convert each option the same way.

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Source: official GATE 2024 Session 2 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key