GATE CS 2024 Set 2 — Question 49
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MSQ+2 / -0EasyNumber Base ConversionsNumber Systems & ArithmeticDigital Logic
Digital Logic → Number Systems & Arithmetic → Number Base Conversions
Last updated
Question
Which of the following is/are EQUAL to in radix- (i.e., base-) notation?
Correct answer
(A) 64 in radix- 10; (B) 100 in radix- 8; (D) 121 in radix- 7
Solution
To determine which options are equivalent to , we first convert it to decimal (base-):Now, we evaluate each option by converting it to decimal:
- Option (A): in radix- is . This matches.
- Option (B): in radix- is . This matches.
- Option (C): in radix- is . This does not match.
- Option (D): in radix- is . This matches.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE CS question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Number Systems & Arithmetic
2026 Set 2 Q16Which one of the following options is not a property of Boolean Algebra? Note: is OR…2026 Set 1 Q21Consider the following Boolean expression of a function :…2026 Set 1 Q22Consider the 8-bit signed integers and represented using the sign-magnitude form. The…2026 Set 2 Q28In a system, numbers are represented using 4-bit two’s complement form. Consider four numbers…2026 Set 2 Q34The 32-bit IEEE 754 single precision representation of a number is . The number…