Encoding Schemes and Number System Class 11 NCERT Solutions

Teachers and Examiners (CBSESkillEduction) collaborated to create the Encoding Schemes and Number System Class 11 NCERT Solutions. All the important Information are taken from the NCERT Textbook Computer Science (083) class 11.

Encoding Schemes and Number System Class 11 NCERT Solutions

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:

Answer –
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.

Answer –
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.

Answer –
i. 145 = (101)10
ii. 6760 = (2568)10
iii. 455 = (301)10
iv. 10.75 = (8.95312)10

6. Express the following decimal numbers into hexadecimal numbers.

Answer –
i. 548 = (224)16
ii. 4052 = (FD4)16
iii. 58 = (3A)16
iv. 100.25 = (64.4)16

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

Answer –
i. 4A2 = (1186)10
ii. 9E1A = (40474)10
iii. 6BD = (1725)10
iv. 6C.34 = (108.20312)10

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

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

9. Write binary equivalent of the following octal numbers.

Answer –
i. 2306 = (10011000110)2
ii. 5610 = (101110001000)2
iii. 742 = (111100010)2
iv. 65.203 = (110101.010000011)2

10. Write binary representation of the following hexadecimal numbers.

Answer –
i. 4026 = (100000000100110)2
ii. BCA1 = (1011110010100001)2
iii. 98E = (100110001110)2
iv. 132.45 = (100110010.01000101)2

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

Answer –
i. HOTS

HOTS
ASCII Code72798483
Binary Code1001000100111110101001010011

ii. Main

MAIN
ASCII Code7797105110
Binary Code
1001101110000111010011101110

iii. CaSe

CASE
ASCII Code679783101
Binary Code1000011110000110100111100101

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 – If X is a number system with B symbols, then B will be the basic value of that system.

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

Answer –

Hexadecimal0939092E0938092C
090F
0915
Binary Code100100111001100100101110100100111000100100101100100100001111100100010101

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

Answer – The biggest benefit of adopting Unicode for creating digital content in Indian is that we don’t need to have that font installed on our machine in order to render the language characters.

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

Answer –
Step 1: Write an character in Indian Language
Step 2: Every character having UNICODE, Machine will read the code automatically
Step 3: After reading the code by machine, Machine will convert the code into Binary Language

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

Answer –

COMPUTER
ASCII Code067079077080085084069082
Binary Code0100001101001111010011010101000001010101010101000100010101010010
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