Computer Science

50 Solved Number System Questions with Answers | CBSE Class 11 Computer Science

Class 11 · Computer Science

50 Solved Number System Questions with Answers (CBSE Class 11 Computer Science)

Number System is one of the most important chapters in Class 11 Computer Science. Regular practice is essential to master different types of number system conversions. This worksheet contains solved questions arranged from easy to advanced level.


Section A – Decimal to Binary (Easy)

Question Answer
1. Convert 10₁₀ into Binary. 1010₂
2. Convert 15₁₀ into Binary. 1111₂
3. Convert 18₁₀ into Binary. 10010₂
4. Convert 25₁₀ into Binary. 11001₂
5. Convert 32₁₀ into Binary. 100000₂
6. Convert 45₁₀ into Binary. 101101₂
7. Convert 56₁₀ into Binary. 111000₂
8. Convert 75₁₀ into Binary. 1001011₂
9. Convert 99₁₀ into Binary. 1100011₂
10. Convert 100₁₀ into Binary. 1100100₂

Section B – Binary to Decimal

Question Answer
11. 101₂5₁₀
12. 111₂7₁₀
13. 1001₂9₁₀
14. 1010₂10₁₀
15. 1111₂15₁₀
16. 10010₂18₁₀
17. 11001₂25₁₀
18. 111000₂56₁₀
19. 101101₂45₁₀
20. 1100100₂100₁₀

Section C – Decimal to Octal

Question Answer
21. 25₁₀31₈
22. 40₁₀50₈
23. 64₁₀100₈
24. 75₁₀113₈
25. 125₁₀175₈
26. 250₁₀372₈
27. 512₁₀1000₈
28. 600₁₀1130₈
29. 725₁₀1325₈
30. 999₁₀1747₈

Section D – Decimal to Hexadecimal

Question Answer
31. 26₁₀1A₁₆
32. 45₁₀2D₁₆
33. 64₁₀40₁₆
34. 100₁₀64₁₆
35. 125₁₀7D₁₆
36. 255₁₀FF₁₆
37. 512₁₀200₁₆
38. 687₁₀2AF₁₆
39. 999₁₀3E7₁₆
40. 1024₁₀400₁₆

Section E – Mixed Conversion Questions

Question Answer
41. Convert 111001₂ to Octal.71₈
42. Convert 357₈ to Binary.011101111₂
43. Convert 11111111₂ to Hexadecimal.FF₁₆
44. Convert 2AF₁₆ to Binary.001010101111₂
45. Convert 725₈ to Hexadecimal.1D5₁₆
46. Convert 3A₁₆ to Octal.72₈
47. Convert 11110000₂ to Hexadecimal.F0₁₆
48. Convert A5₁₆ to Binary.10100101₂
49. Convert 100111₂ to Octal.47₈
50. Convert 7B₁₆ to Decimal.123₁₀

Quick Revision Tips

  • Binary → Group into 3 bits for Octal.
  • Binary → Group into 4 bits for Hexadecimal.
  • Decimal → Divide repeatedly by the base.
  • Remember A=10, B=11, C=12, D=13, E=14, F=15.
  • Always write the base as a subscript.

Challenge Yourself

Solve these without looking at the answers:

  1. 345₁₀ → Binary
  2. 101110101₂ → Decimal
  3. 755₈ → Hexadecimal
  4. 3FA₁₆ → Binary
  5. 100111101₂ → Octal