Jump to a section

Mathematics - Binary Numbers

Practise 31 NDA previous year questions on Binary Numbers, compiled from papers spanning 2010 to 2023. Each question is pulled directly from the actual exam paper it appeared in, so you're practising in the exact style and difficulty NDA tests.

Binary Numbers has been asked in 13 of the 21 years of NDA papers analysed (2006–2026), with 31 questions in all. 55% of them were easy, 45% moderate and 0% tough. Most of its questions came from 2012, with 4 questions that year. In the last three years (2024–2026) it had 0 questions across 5 papers, about 0 per paper.

The chapter's 3 topics are not weighted equally: Decimal to Binary Conversion (13 questions, 42%), Arithmetic Operations of Binary Numbers (10 questions, 32%), and Binary to Decimal Conversion (8 questions, 26%) have been asked the most. Over the last five years the most frequent topics have been Arithmetic Operations of Binary Numbers (2) and Decimal to Binary Conversion (1).

  1. 1What is the binary number equivalent to decimal number 1011?2023 (Phase 1)Decimal to Binary Conversion
  2. 2What is equal to?2022 (Phase 1)Arithmetic Operations of Binary Numbers
  3. 3If and , then what is equal to?2022 (Phase 1)Arithmetic Operations of Binary Numbers
  4. 4The number can be written in decimal system as2020Arithmetic Operations of Binary Numbers
  5. 5A binary number is represented by , where . What is its decimal equivalent?2019 (Phase 2)Binary to Decimal Conversion
  6. 6The binary number expression of the decimal number 31 is2018 (Phase 1)Decimal to Binary Conversion
  7. 7The sum of the binary numbers and is the binary number . What are the values of and ?2018 (Phase 2)Arithmetic Operations of Binary Numbers
  8. 8In the binary equation where and r are binary digits, what are the possible values of and respectively?2017 (Phase 1)Arithmetic Operations of Binary Numbers
  9. 9The remainder and the quotient of the binary division are respectively2017 (Phase 2)Arithmetic Operations of Binary Numbers
  10. 10What is the binary equivalent of the decimal number 0.3125?2016 (Phase 1)Decimal to Binary Conversion
  11. 11If the number 235 in decimal system is converted into binary system, then what is the resulting number?2016 (Phase 2)Decimal to Binary Conversion
  12. 12The decimal number , when converted to binary nunber, takes the form2015 (Phase 1)Decimal to Binary Conversion
  13. 13If is converted decimal system, then the resulting number is2015 (Phase 1)Binary to Decimal Conversion
  14. 14What is equal to ?2015 (Phase 2)Arithmetic Operations of Binary Numbers
  15. 15What is the sum of the two numbers and ?2014 (Phase 1)Arithmetic Operations of Binary Numbers
  16. 16The number 251 in decimal system is expressed in binary system by:2014 (Phase 1)Decimal to Binary Conversion
  17. 17What is equal to?2014 (Phase 2)Binary to Decimal Conversion
  18. 18The binary representation of the decimal number 45 is2013 (Phase 1)Decimal to Binary Conversion
  19. 19A number in binary system is 110001 . It is equal to which one of the following numbers in decimal system?2013 (Phase 2)Binary to Decimal Conversion
  20. 20The number 83 is written in the binary system as2013 (Phase 2)Decimal to Binary Conversion
  21. 21The number 292 in decimal system is expressed in binary system by2012 (Phase 1)Decimal to Binary Conversion
  22. 22What is the decimal number representation of the binary number ?2012 (Phase 1)Binary to Decimal Conversion
  23. 23The decimal representation of the number in binary system is :2012 (Phase 2)Binary to Decimal Conversion
  24. 24The decimal number when converted to binary number takes the form :2012 (Phase 2)Decimal to Binary Conversion
  25. 25In the binary system of numbers let and 01110 , then in decimal system what is equal to?2011 (Phase 1)Binary to Decimal Conversion
  26. 26The number 10101111 in binary system is represented in decimal system by which one of the following numbers?2011 (Phase 1)Binary to Decimal Conversion
  27. 27In binary system the decimal number 0.3 can be expressed as2011 (Phase 2)Decimal to Binary Conversion
  28. 28What is the equivalent binary number of the decimal number 13.625?2010 (Phase 1)Decimal to Binary Conversion
  29. 29What is the value of2010 (Phase 1)Arithmetic Operations of Binary Numbers
  30. 30What is equal to?2010 (Phase 2)Arithmetic Operations of Binary Numbers
  31. 31What is the binary number equivalent of the decimal number 32.25?2010 (Phase 2)Decimal to Binary Conversion

Frequently Asked Questions

1.How many questions are available for Binary Numbers?

This chapter includes 31 questions compiled from NDA papers spanning 2010 to 2023.

2.Are these questions only from NDA, or from other exams too?

These are NDA questions specifically for the Binary Numbers chapter. Questions from other exams like JEE Main or NTA Abhyas (JEE Main) are organised separately under their respective exam sections.

3.Is Binary Numbers an important chapter for NDA Mathematics?

Binary Numbers has appeared in 13 of the 17 years of NDA papers covered here, with 31 questions across 22 papers - about one per paper it appears in.

4.What is the difficulty level of Binary Numbers questions in NDA?

Of the 31 questions analysed for this chapter, 55% are easy, 45% moderate and 0% tough. 2012 had the most, with 4 questions.

5.Which topics in Binary Numbers should I focus on?

These topics have carried the most weightage in Binary Numbers:

  • Decimal to Binary Conversion - 13 questions (42%)
  • Arithmetic Operations of Binary Numbers - 10 questions (32%)
  • Binary to Decimal Conversion - 8 questions (26%)
6.Is Binary Numbers's weightage in NDA going up or down?

Across all 22 papers analysed, Binary Numbers has averaged about 1.4 questions per paper. In the last three years (2024–2026), that average has fallen, at about 0.0 questions per paper. Use the year-wise numbers on this page for the exact trend before you decide how much time to give it.