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Class 11 Computer Science NCERT Solutions Chapter 2: Encoding Schemes and Number System

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How to Write Stepwise Answers for Encoding Schemes and Number System (Class 11)

Master all concepts with the NCERT Solutions for Class 11 Computer Science Chapter 2: Encoding Schemes And Number System, created as per the latest CBSE 2025–26 syllabus. Here, you’ll find simple, reliable answers for every textbook question, making exam prep much easier.


Each solution offers stepwise answers, clear diagrams, and essential definitions tailored for strong exam scores. Explore exercise-wise solutions, marking-scheme tips, and revision notes—all crafted to match CBSE evaluation patterns and help you write high-scoring answers in school tests.


Download the free PDF for Encoding Schemes and Number System Class 11 and revise anytime, anywhere. Whether it’s intext or back exercise questions, these NCERT answers act as your perfect guide for concept clarity, quick last-minute revision, and confident CBSE exam preparation.


How to Write Stepwise Answers for Encoding Schemes and Number System (Class 11)

NCERT Solutions for Computer Science Chapter 2 Encoding Schemes And Number System (2025-26)

Exercise


1. Write base values of binary, octal and hexadecimal number system.


Answer:

  • Binary – 2
  • Octal – 8
  • Hexadecimal – 16


2. Give full form of ASCII and ISCII.


Answer:

  • ASCII: American Standard Code for Information Interchange
  • ISCII: Indian Script Code for Information Interchange


3. Try the following conversions.

  • (i) (514)8 = (332)10
  • (ii) (220)8 = (10010000)2
  • (iii) (76F)16 = (1903)10
  • (iv) (4D9)16 = (1241)10
  • (v) (11001010)2 = (202)10
  • (vi) (1010111)2 = (87)10

4. Do the following conversions from decimal number to other number systems.

  • (i) (54)10 = (110110)2
  • (ii) (120)10 = (1111000)2
  • (iii) (76)10 = (114)8
  • (iv) (889)10 = (1571)8
  • (v) (789)10 = (315)16
  • (vi) (108)10 = (6C)16

5. Express the following octal numbers into their equivalent decimal numbers.

  • (i) (145)8 = (101)10
  • (ii) (6760)8 = (3568)10
  • (iii) (455)8 = (301)10
  • (iv) (10.75)8 = (8.953125)10

6. Express the following decimal numbers into hexadecimal numbers.

  • (i) (548)10 = (224)16
  • (ii) (4052)10 = (FD4)16
  • (iii) (58)10 = (3A)16
  • (iv) (100.25)10 = (64.4)16

7. Express the following hexadecimal numbers into equivalent decimal numbers.

  • (i) (4A2)16 = (1186)10
  • (ii) (9E1A)16 = (40474)10
  • (iii) (6BD)16 = (1725)10
  • (iv) (6C.34)16 = (108.203125)10

8. Convert the following binary numbers into octal and hexadecimal numbers.

  • (i) (1110001000)2 = (1610)8 = (388)16
  • (ii) (110110101)2 = (665)8 = (1B5)16
  • (iii) (1010100)2 = (124)8 = (54)16
  • (iv) (1010.1001)2 = (12.44)8 = (A.9)16

9. Write binary equivalent of the following octal numbers.

  • (i) (2306)8 = (10011000110)2
  • (ii) (5610)8 = (101110001000)2
  • (iii) (742)8 = (111100010)2
  • (iv) (65.203)8 = (110101.010000011)2

10. Write binary representation of the following hexadecimal numbers.

  • (i) (4026)16 = (100000000100110)2
  • (ii) (BCA1)16 = (1011110010100001)2
  • (iii) (98E)16 = (100110001110)2
  • (iv) (132.45)16 = (100110010.010001012)

11. How does computer understand the following text? (hint: 7 bit ASCII code).

(i) HOTS

  • H: ASCII 72 = 1001000
  • O: ASCII 79 = 1001111
  • T: ASCII 84 = 1010100
  • S: ASCII 83 = 1010011

Combined binary: 1001000100111110101001010011


(ii) Main

  • M: ASCII 77 = 1001101
  • a: ASCII 97 = 1100001
  • i: ASCII 105 = 1101001
  • n: ASCII 110 = 1101110

Combined binary: 1001101110000111010011101110


(iii) CaSe

  • C: ASCII 67 = 1000011
  • a: ASCII 97 = 1100001
  • S: ASCII 83 = 1010011
  • e: ASCII 101 = 1100101

Combined binary: 1000011110000110100111100101


12. The hexadecimal number system uses 16 literals (0 – 9, A–F). Write down its base value.


Answer: 16


13. Let X be a number system having B symbols only. Write down the base value of this number system.


Answer: The base value of this number system is B.


14. Write the equivalent hexadecimal and binary values for each character of the phrase given below. ‘‘हम सब एक”

Symbol Hexadecimal Binary
0939 100100111001
092E 100100101110
0938 100100111000
092C 100100101100
090F 100100001111
0915 100100010101

15. What is the advantage of preparing a digital content in Indian language using UNICODE font?


Answer: The advantage of preparing digital content in Indian language using UNICODE font is that you do not need to install extra fonts, as UNICODE characters are rendered automatically across systems. It ensures compatibility and readability on all devices and platforms.


16. Explore and list the steps required to type in an Indian language using UNICODE.


Answer:

  • Go to computer settings and add the desired Indian language in language preferences.
  • Enable the language keyboard/input method (e.g., Devanagari Inscript, Phonetic).
  • Switch to the language keyboard while typing in supporting applications.
  • Type using the mapped keys; the input is stored in UNICODE format automatically.


17. Encode the word ‘COMPUTER’ using ASCII and convert the encode value into binary values.

Symbol ASCII Binary Code
C 67 1000011
O 79 1001111
M 77 1001101
P 80 1010000
U 85 1010101
T 84 1010100
E 69 1000101
R 82 1010010

Combined binary value: 10000111001111100110110100001010101101010010001011010010


Encoding Schemes and Number Systems: Chapter Highlights

Mastering Encoding Schemes and Number Systems is key for Computer Science students. Understanding how computers use ASCII, Unicode, binary, octal, and hexadecimal systems will help you solve problems faster and prepare effectively for your 2025-26 exams.


Convert easily between number systems by practicing with plenty of examples. Focus on the conversion methods and key properties of each system to boost speed and avoid silly mistakes in exam questions.


Strengthen your concepts with stepwise solutions and tables from the chapter. Regular revision of encoding and number system conversions will help you build confidence and score high in Computer Science finals.


FAQs on Class 11 Computer Science NCERT Solutions Chapter 2: Encoding Schemes and Number System

1. What is covered in Class 11 Computer Science Chapter 2 – Encoding Schemes and Number System?

Class 11 Computer Science Chapter 2 covers essential concepts of encoding schemes, number systems, and their applications in computer science. The main topics include:

  • Understanding binary, octal, decimal, and hexadecimal number systems
  • Converting numbers between different bases
  • The importance and types of encoding schemes (such as ASCII and Unicode)
  • Applications of encoding in data representation
  • Key definitions and practice problems, as per the NCERT syllabus

2. Why are stepwise NCERT Solutions important for scoring well in Computer Science exams?

Stepwise NCERT Solutions are crucial for scoring well because they:

  • Help demonstrate clear understanding, as required by the CBSE marking scheme
  • Earn marks for each correct step, even if the final answer is incorrect
  • Make revision easier by breaking problems into logical parts
  • Ensure all key points, definitions, and formulas are included for maximum marks

3. How should I structure long or 5-marker answers in Class 11 Computer Science Chapter 2?

To structure a long answer for full marks, follow these steps:

  • Begin with a precise definition or introduction
  • Explain key points using bullet points or sub-headings
  • Include examples, diagrams, or tables where relevant
  • Underline or highlight important terms like encoding scheme, ASCII, Unicode, binary, decimal
  • Summarise your answer in a short conclusion

4. Are diagrams or definitions mandatory in Encoding Schemes and Number System answers?

Yes, definitions and diagrams can be mandatory depending on the question:

  • Definitions are essential for questions on key terms (e.g., ASCII, binary system)
  • Diagrams or conversion tables often fetch marks in explanation-based or stepwise questions
  • Always check if a question asks for a labeled example or schematic; include diagrams if instructed

5. What are the most important topics in Computer Science Chapter 2 for exams?

For CBSE exams, the most important topics in Chapter 2 Encoding Schemes and Number System are:

  • Types of number systems: binary, octal, decimal, hexadecimal
  • Number system conversions (e.g., decimal to binary)
  • Encoding schemes and their examples (ASCII, Unicode)
  • Representation of data using binary codes
  • Key definitions and solved numerical problems from the NCERT exercises

6. Where can I download the free PDF of Class 11 Computer Science Chapter 2 NCERT Solutions?

You can download the Class 11 Computer Science Chapter 2 NCERT Solutions PDF for free directly from this page using the provided PDF download button. This helps students study offline and revise anytime.

7. How do I prepare diagrams or conversion tables for Encoding Schemes and Number System?

Prepare diagrams and tables for this chapter by:

  • Drawing neat conversion tables for number systems (e.g., decimal-binary conversion)
  • Labeling all parts clearly (titles, base values, arrows for conversion direction)
  • Practicing frequently asked diagrams like ASCII table snippets or stepwise conversion lines

8. Are NCERT Solutions enough for Class 11 Computer Science exams?

NCERT Solutions are sufficient for understanding CBSE exam patterns and concepts in Computer Science. However, for better performance:

  • Thoroughly practice all intext and back exercise questions
  • Go through exemplar and previous years’ questions for extra practice
  • Revise definitions, key diagrams, and conversion methodologies

9. What are the common mistakes to avoid in Number System conversion problems?

To avoid losing marks in Number System conversion problems:

  • Write all steps (don’t skip showing carry-over or borrow steps in subtraction)
  • Label your conversion clearly (specify from and to base)
  • Check calculations twice, especially with zeros and powers of two
  • Use neat tables if needed for clarity

10. How is data represented inside a computer using encoding schemes?

Data in computers is represented using binary codes with specific encoding schemes:

  • Characters (letters, digits) are stored as binary values defined by encoding schemes like ASCII and Unicode
  • Each symbol is mapped to a unique binary code
  • Encoding ensures compatibility, data exchange, and error minimisation

11. Do examiners award partial marks for correct steps even if the final answer is wrong?

Yes, in CBSE exams, partial marks are awarded for each correct step shown in numerical or conversion questions. It’s crucial to write every step to maximise your score, even if the final answer is incorrect.

12. How should I revise Class 11 Computer Science Chapter 2 Encoding Schemes and Number System quickly?

For quick revision:

  • Read through key definitions and formulae
  • Practice conversion problems and encoding tables
  • Review solved NCERT examples and highlighted diagrams
  • Use chapterwise quick notes or flashcards for important points