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NCERT Solutions for Class 11 Computer Science Data Representation PDF Download

Most students feel confused while preparing for Data Representation; for them, the NCERT Solutions for Class 11 Computer Science Data Representation can be considered as the best study material. Going through the Data Representation questions as well as answers can help students to remove confusion and accordingly, they can be prepared for tests or any kind of exams. 

NCERT Solutions for Class 11 Computer Science Data Representation PDF

The answers in the NCERT Solutions for Class 11 Computer Science Data Representation PDF provide accurate explanations so that students can attempt the questions in an accurate way. Students can refer to the Computer Science Data Representation questions through the Selfstudys website from their own comfort zone. By solving Data Representation questions from the website, students can improve their confidence level. 

Where Can Students Find the NCERT Solutions for Class 11 Computer Science Data Representation?

Students can find the NCERT Solutions for Class 11 Computer Science Data Representation from the Selfstudys website; the steps to refer to are discussed below: 

  • Open the Selfstudys website. 

NCERT Solutions for Class 11 Computer Science Data Representation, NCERT Solutions for Class 11 Computer Science Data Representation PDF, NCERT Class 11 Computer Science Solutions Data Representation, NCERT Solutions for Class 11 Computer Science Data Representation Revision, NCERT Solutions for Class 11 Computer Science Data Representation Theory

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NCERT Solutions for Class 11 Computer Science Data Representation, NCERT Solutions for Class 11 Computer Science Data Representation PDF, NCERT Class 11 Computer Science Solutions Data Representation, NCERT Solutions for Class 11 Computer Science Data Representation Revision, NCERT Solutions for Class 11 Computer Science Data Representation Theory

  • A new page will appear, select Class 11 from the list of classes. 
  • Now select Computer Science from the list of subjects.
  • Again a new page will appear, select Data Representation from the list of chapters. 

Attributes of NCERT Solutions for Class 11 Computer Science Data Representation

The attributes of NCERT Solutions for Class 11 Computer Science Data Representation are considered to the special quality; which each student needs to know before solving or referring to, some of the attributes are discussed below: 

  • Explained in Para Wise Manner: Questions in the NCERT Solutions for Class 11 Computer Science Data Representation revision are explained in a para-wise manner so that by referring to it students can improve their comprehension skills. 
  • All Topics are Covered: In the NCERT Solutions for Class 11 Computer Science Data Representation theory, all topics are covered so that by solving it, students can understand all the topics. 
  • Explained in PointWise Manner: Some questions in the NCERT Solutions for Class 11 Computer Science Data Representation PDF are explained in a point-wise manner so that students can reinforce their memorisation skills. 
  • Free Accessibility: The NCERT Solutions of Class 11 Computer Science questions are available free of cost so that students can access at any time without paying any amount. 
  • Based on the Latest Syllabus: The Computer Science Data Representation questions from the NCERT Class 11 Solutions are based on the latest syllabus so students can have updated knowledge of all the questions. 
  • Available in the PDF: The NCERT Class 11 Computer Science Solutions are available in the portable document format so that students can practise Data Representation questions from their own comfort zone. 

How Can NCERT Solutions for Class 11 Computer Science Data Representation Help Students?

The NCERT Solutions for Class 11 Computer Science Data Representation can be helpful in various ways; those ways are: 

  • Helps to Understand the Concepts: Regular solving questions from the NCERT Solutions for Class 11 Computer Science Data Representation revision can help students to understand the concepts in a better way. The answers of Data Representation questions also provide detailed analysis of the concepts. 
  • Helps to Clarify Doubts: By referring to the NCERT Solutions for Class 11 Computer Science Data Representation theory, students can easily clarify the doubts; accordingly they can build a strong foundation. Students can easily solve doubts as the answers of Data Representation are explained in a para wise or point wise way according to the need. 
  • Helps in Exam Preparation: The NCERT Solutions for Class 11 Computer Science Data Representation PDF can help students in exam preparation as it provides practise questions and its answers. 
  • Helps in Self Study: The Data Representation questions from the NCERT Class 11 Computer Science Solutions can help students in the process of self study. Students studying Data Representation by themselves can help them to boost their self esteem which can be useful in further chapters of Computer Science. 
  • Helps to Improve Performance: By solving Computer Science Data Representation questions from the Class 11 NCERT Solutions, students can develop their problem solving skills and accordingly they can improve their performance level. 
  • Saves Time: Students don’t need to search for Data Representation Computer Science questions here and there as the NCERT Class 11 Solutions are already available in the PDF. 

When Should NCERT Solutions for Class 11 Computer Science Data Representation Be Used?

Students can use the NCERT Solutions for Class 11 Computer Science Data Representation according to the below scenarios, those are: 

  • To Complete the Chapter: Students can prefer utilising the NCERT Solutions for Class 11 Computer Science Data Representation revision so that they can complete the chapter in a proper way. 
  • To Complete Homework Assignments: The NCERT Solutions for Class 11 Computer Science Data Representation theory can be used to complete the homework assignments as it provides answers to each question. 
  • To Prepare for Tests: To prepare well for Computer Science Data Representation test, students need to solve more questions; for that they can refer to the NCERT Class 11 Solutions. 
  • To Solve Confusions: If students are struggling to complete the concepts or to solve the question, then they can refer to the NCERT Solutions for Class 11 Computer Science Data Representation PDF. 
  • During the Class: Students can utilise the Data Representation questions from the Class 11 Computer Science NCERT Solutions during the class as an additional supplement. By using it as an additional supplement, students can understand the concepts of Data Representation in a better way. 
  • To Improve Confidence Level: To improve the confidence level while attempting questions of Data Representation, students can prefer utilising the NCERT Class 11 Computer Science Solutions. 

A Step-by-Step Guide to Solve Questions from NCERT Solutions for Class 11 Computer Science Data Representation

A step by step guide is the outline process to solve questions from NCERT Solutions for Class 11 Computer Science Data Representation; those steps are discussed below: 

  • Read the Chapter Properly: Read the Data Representation properly to understand the concepts and theories covered in the Class 11 Computer Science. Before solving questions from the NCERT Solutions for Class 11 Computer Science Data Representation revision, students should make sure that they have proper understanding of the concepts. 
  • Identify the Easy Questions: Students are advised to identify the easy questions from NCERT Solutions for Class 11 Computer Science Data Representation theory, before actually attempting it. Students should identify the easy questions of Data Representation according to what is being asked in it. 
  • Analyse the Question: It is advisable for students to analyse the question from the NCERT Solutions for Class 11 Computer Science Data Representation PDF so that they can easily determine the approach. 
  • Use Relevant Theories and Concepts: To attempt Data Representation questions from the NCERT Solutions for Class 11 Computer Science effectively, students need to use the relevant theories and concepts. 
  • Provide Examples: Students need to use the required examples to support the answer of Data Representation Computer Science questions from the NCERT Class 11 Solutions so that they can demonstrate the understanding with relevance to real life theory. 
  • Check the Answer: Checking the answers is the final step of solving Data Representation questions from the NCERT Class 11 Computer Science Solutions; accordingly, students can match their answers. 

What are the Challenges Faced While Solving Questions from the NCERT Solutions for Class 11 Computer Science Data Representation?

The challenges are those forces which make the students do a lot of effort to achieve; the same is faced while solving questions from the NCERT Solutions for Class 11 Computer Science Data Representation, some of the challenges are discussed below: 

  • Lack of Understanding: If students are not able to understand the concepts of Data Representation, then they may face difficulty in solving questions from the NCERT Class 11 Computer Science Solutions; this may be mostly faced if students are new to the subject Computer Science. 
  • To Apply the Concepts: Even after understanding the concepts of Data Representation, students may face difficulty in applying the relevant concepts while attempting questions from the NCERT Class 11 Computer Science Solutions. 
  • Lack of Practice: If students don’t have enough time to practise questions then they may struggle to solve questions from NCERT Solutions for Class 11 Computer Science Data Representation revision. 
  • Time Management: Students may find it challenging to utilise the time efficiently to practise questions from the NCERT Solutions for Class 11 Computer Science Data Representation theory. Some students spend much time on one single question of Data Representation. 
  • Difficulty in Interpreting Questions: The questions in the NCERT Solutions for Class 11 Computer Science Data Representation PDF require correct interpretation and understanding; students may find it challenging to interpret questions. 
  • Fear of Making Mistakes: The fear of making mistakes can hold students from attempting Data Representation questions of Class 11 NCERT Computer Science Solutions; this can be a very challenging one. 

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Data Representation in Computers

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Data Representation Class 11 - Computer Science with Python Sumita Arora

Multiple choice questions.

The value of radix in binary number system is ……….

The value of radix in octal number system is ……….

The value of radix in decimal number system is ……….

The value of radix in hexadecimal number system is ……….

Which of the following are not valid symbols in octal number system ?

Which of the following are not valid symbols in hexadecimal number system ?

Which of the following are not valid symbols in decimal number system ?

The hexadecimal digits are 1 to 0 and A to ……….

The binary equivalent of the decimal number 10 is ……….

Question 10

ASCII code is a 7 bit code for ……….

  • other symbol
  • all of these ✓

Question 11

How many bytes are there in 1011 1001 0110 1110 numbers?

Question 12

The binary equivalent of the octal Numbers 13.54 is…..

  • 1101.1110 ✓
  • None of these

Question 13

The octal equivalent of 111 010 is…..

Question 14

The input hexadecimal representation of 1110 is ……….

Question 15

Which of the following is not a binary number ?

Question 16

Convert the hexadecimal number 2C to decimal:

Question 17

UTF8 is a type of ………. encoding.

  • extended ASCII

Question 18

UTF32 is a type of ………. encoding.

Question 19

Which of the following is not a valid UTF8 representation?

  • 2 octet (16 bits)
  • 3 octet (24 bits)
  • 4 octet (32 bits)
  • 8 octet (64 bits) ✓

Question 20

Which of the following is not a valid encoding scheme for characters ?

Fill in the Blanks

The Decimal number system is composed of  10  unique symbols.

The Binary number system is composed of  2  unique symbols.

The Octal number system is composed of  8  unique symbols.

The Hexadecimal number system is composed of  16  unique symbols.

The illegal digits of octal number system are  8  and  9 .

Hexadecimal number system recognizes symbols 0 to 9 and A to  F .

Each octal number is replaced with  3  bits in octal to binary conversion.

Each Hexadecimal number is replaced with  4  bits in Hex to binary conversion.

ASCII is a  7  bit code while extended ASCII is a  8  bit code.

The  Unicode  encoding scheme can represent all symbols/characters of most languages.

The  ISCII  encoding scheme represents Indian Languages’ characters on computers.

UTF8 can take upto  4  bytes to represent a symbol.

UTF32 takes exactly  4  bytes to represent a symbol.

Unicode value of a symbol is called code  point .

True/False Questions

A computer can work with Decimal number system. False

A computer can work with Binary number system. True

The number of unique symbols in Hexadecimal number system is 15. False

Number systems can also represent characters. False

ISCII is an encoding scheme created for Indian language characters. True

Unicode is able to represent nearly all languages’ characters. True

UTF8 is a fixed-length encoding scheme. False

UTF32 is a fixed-length encoding scheme. True

UTF8 is a variable-length encoding scheme and can represent characters in 1 through 4 bytes. True

UTF8 and UTF32 are the only encoding schemes supported by Unicode. False

Type A: Short Answer Questions

What are some number systems used by computers ?

The most commonly used number systems are decimal, binary, octal and hexadecimal number systems.

What is the use of Hexadecimal number system on computers ?

The Hexadecimal number system is used in computers to specify memory addresses (which are 16-bit or 32-bit long). For example, a memory address 1101011010101111 is a big binary address but with hex it is D6AF which is easier to remember. The Hexadecimal number system is also used to represent colour codes. For example, FFFFFF represents White, FF0000 represents Red, etc.

What does radix or base signify ?

The radix or base of a number system signifies how many unique symbols or digits are used in the number system to represent numbers. For example, the decimal number system has a radix or base of 10 meaning it uses 10 digits from 0 to 9 to represent numbers.

What is the use of encoding schemes ?

Encoding schemes help Computers represent and recognize letters, numbers and symbols. It provides a predetermined set of codes for each recognized letter, number and symbol. Most popular encoding schemes are ASCI, Unicode, ISCII, etc.

Discuss UTF-8 encoding scheme.

UTF-8 is a variable width encoding that can represent every character in Unicode character set. The code unit of UTF-8 is 8 bits called an octet. It uses 1 to maximum 6 octets to represent code points depending on their size i.e. sometimes it uses 8 bits to store the character, other times 16 or 24 or more bits. It is a type of multi-byte encoding.

How is UTF-8 encoding scheme different from UTF-32 encoding scheme ?

UTF-8 is a variable length encoding scheme that uses different number of bytes to represent different characters whereas UTF-32 is a fixed length encoding scheme that uses exactly 4 bytes to represent all Unicode code points.

What is the most significant bit and the least significant bit in a binary code ?

In a binary code, the leftmost bit is called the most significant bit or MSB. It carries the largest weight. The rightmost bit is called the least significant bit or LSB. It carries the smallest weight. For example:

1���0110110��� MSB 1 0 1 1 0 1 1 LSB 0

What are ASCII and extended ASCII encoding schemes ?

ASCII encoding scheme uses a 7-bit code and it represents 128 characters. Its advantages are simplicity and efficiency. Extended ASCII encoding scheme uses a 8-bit code and it represents 256 characters.

What is the utility of ISCII encoding scheme ?

ISCII or Indian Standard Code for Information Interchange can be used to represent Indian languages on the computer. It supports Indian languages that follow both Devanagari script and other scripts like Tamil, Bengali, Oriya, Assamese, etc.

What is Unicode ? What is its significance ?

Unicode is a universal character encoding scheme that can represent different sets of characters belonging to different languages by assigning a number to each of the character. It has the following significance:

  • It defines all the characters needed for writing the majority of known languages in use today across the world.
  • It is a superset of all other character sets.
  • It is used to represent characters across different platforms and programs.

What all encoding schemes does Unicode use to represent characters ?

Unicode uses UTF-8, UTF-16 and UTF-32 encoding schemes.

What are ASCII and ISCII ? Why are these used ?

ASCII stands for American Standard Code for Information Interchange. It uses a 7-bit code and it can represent 128 characters. ASCII code is mostly used to represent the characters of English language, standard keyboard characters as well as control characters like Carriage Return and Form Feed. ISCII stands for Indian Standard Code for Information Interchange. It uses a 8-bit code and it can represent 256 characters. It retains all ASCII characters and offers coding for Indian scripts also. Majority of the Indian languages can be represented using ISCII.

What are UTF-8 and UTF-32 encoding schemes. Which one is more popular encoding scheme ?

UTF-8 is a variable length encoding scheme that uses different number of bytes to represent different characters whereas UTF-32 is a fixed length encoding scheme that uses exactly 4 bytes to represent all Unicode code points. UTF-8 is the more popular encoding scheme.

What do you understand by code point ?

Code point refers to a code from a code space that represents a single character from the character set represented by an encoding scheme. For example, 0x41 is one code point of ASCII that represents character ‘A’.

What is the difference between fixed length and variable length encoding schemes ?

Variable length encoding scheme uses different number of bytes or octets (set of 8 bits) to represent different characters whereas fixed length encoding scheme uses a fixed number of bytes to represent different characters.

Type B: Application Based Questions

Convert the following binary numbers to decimal:

Binary
No
PowerValueResult
2 11×1=1
02 20x2=0
12 41×4=4
2 81×8=8

Equivalent decimal number = 1 + 4 + 8 = 13

Therefore, (1101) 2  = (13) 10

Binary
No
PowerValueResult
2 10x1=0
12 21×2=2
02 40x4=0
12 81×8=8
12 161×16=16
2 321×32=32

Equivalent decimal number = 2 + 8 + 16 + 32 = 58

Therefore, (111010) 2  = (58) 10

(c) 101011111

Binary
No
PowerValueResult
2 11×1=1
12 21×2=2
12 41×4=4
12 81×8=8
12 161×16=16
02 320x32=0
12 641×64=64
02 1280x128=0
2 2561×256=256

Equivalent decimal number = 1 + 2 + 4 + 8 + 16 + 64 + 256 = 351

Therefore, (101011111) 2  = (351) 10

Convert the following binary numbers to decimal :

Binary
No
PowerValueResult
2 10x1=0
02 20x2=0
12 41×4=4
2 81×8=8

Equivalent decimal number = 4 + 8 = 12

Therefore, (1100) 2  = (12) 10

(b) 10010101

Binary
No
PowerValueResult
2 11×1=1
02 20x2=0
12 41×4=4
02 80x8=0
12 161×16=16
02 320x32=0
02 640x64=0
2 1281×128=128

Equivalent decimal number = 1 + 4 + 16 + 128 = 149

Therefore, (10010101) 2  = (149) 10

(c) 11011100

Binary
No
PowerValueResult
2 10x1=0
02 20x2=0
12 41×4=4
12 81×8=8
12 161×16=16
02 320x32=0
12 641×64=64
2 1281×128=128

Equivalent decimal number = 4 + 8 + 16 + 64 + 128 = 220

Therefore, (11011100) 2  = (220) 10

Convert the following decimal numbers to binary:

2QuotientRemainder
2231 (LSB)
2111
251
220
211 (MSB)
 0 

Therefore, (23) 10  = (10111) 2

2QuotientRemainder
21000 (LSB)
2500
2251
2120
260
231
211 (MSB)
 0 

Therefore, (100) 10  = (1100100) 2

2QuotientRemainder
21451 (LSB)
2720
2360
2180
291
240
220
211 (MSB)
 0 

Therefore, (145) 10  = (10010001) 2

Multiply=ResultantCarry
0.25 x 2=0.50
0.5 x 2=01

Therefore, (0.25) 10  = (0.01) 2

2QuotientRemainder
2191 (LSB)
291
240
220
211 (MSB)
 0 

Therefore, (19) 10  = (10011) 2

2QuotientRemainder
21220 (LSB)
2611
2300
2151
271
231
211 (MSB)
 0 

Therefore, (122) 10  = (1111010) 2

2QuotientRemainder
21611 (LSB)
2800
2400
2200
2100
251
220
211 (MSB)
 0 

Therefore, (161) 10  = (10100001) 2

Multiply=ResultantCarry
0.675 x 2=0.351
0.35 x 2=0.70
0.7 x 2=0.41
0.4 x 2=0.80
0.8 x 2=0.61

(We stop after 5 iterations if fractional part doesn’t become 0)

Therefore, (0.675) 10  = (0.10101) 2

Convert the following decimal numbers to octal:

8QuotientRemainder
8193 (LSB)
822 (MSB)
 0 

Therefore, (19) 10  = (23) 8

8QuotientRemainder
81222 (LSB)
8157
811 (MSB)
 0 

Therefore, (122) 10  = (172) 8

8QuotientRemainder
81611 (LSB)
8204
822 (MSB)
 0 

Therefore, (161) 10  = (241) 8

Multiply=ResultantCarry
0.675 x 8=0.45
0.4 x 8=0.23
0.2 x 8=0.61
0.6 x 8=0.84
0.8 x 8=0.46

Therefore, (0.675) 10  = (0.53146) 8

Convert the following hexadecimal numbers to binary:

Hexadecimal
Number
Binary
Equivalent
60110
A (10)1010

(A6) 16  = (10100110) 2

Hexadecimal
Number
Binary
Equivalent
70111
00000
A (10)1010

(A07) 16  = (101000000111) 2

Hexadecimal
Number
Binary
Equivalent
40100
B (11)1011
A (10)1010
70111

(7AB4) 16  = (111101010110100) 2

Hexadecimal
Number
Binary
Equivalent
D (13)1101
30011
20010

(23D) 16  = (1000111101) 2

Hexadecimal
Number
Binary
Equivalent
91001
C (12)1100
B (11)1011

(BC9) 16  = (101111001001) 2

Hexadecimal
Number
Binary
Equivalent
81000
C (12)1100
B (11)1011
91001

(9BC8) 16  = (1001101111001000) 2

Convert the following binary numbers to hexadecimal:

(a) 10011011101

Grouping in bits of 4:

0100undefined 0100 1101 1101

Binary
Number
Equivalent
Hexadecimal
1101D (13)
1101D (13)
01004

Therefore, (10011011101) 2  = (4DD) 16

(b) 1111011101011011

1111undefined 1111 0111 0101 1011

Binary
Number
Equivalent
Hexadecimal
1011B (11)
01015
01117
1111F (15)

Therefore, (1111011101011011) 2  = (F75B) 16

(c) 11010111010111

0011undefined 0011 0101 1101 0111

Binary
Number
Equivalent
Hexadecimal
01117
1101D (13)
01015
00113

Therefore, (11010111010111) 2  = (35D7) 16

(a) 1010110110111

0001undefined 0001 0101 1011 0111

Binary
Number
Equivalent
Hexadecimal
01117
1011B (11)
01015
00011

Therefore, (1010110110111) 2  = (15B7) 16

(b) 10110111011011

0010undefined 0010 1101 1101 1011

Binary
Number
Equivalent
Hexadecimal
1011B (11)
1101D (13)
1101D (13)
00102

Therefore, (10110111011011) 2  = (2DDB) 16

(c) 0110101100

0001undefined 0001 1010 1100

Binary
Number
Equivalent
Hexadecimal
1100C (12)
1010A (10)
00011

Therefore, (0110101100) 2  = (1AC) 16

Convert the following octal numbers to decimal:

Octal
No
PowerValueResult
8 17×1=7
58 85×8=40
8 642×64=128

Equivalent decimal number = 7 + 40 + 128 = 175

Therefore, (257) 8  = (175) 10

Octal
No
PowerValueResult
8 17×1=7
28 82×8=16
58 645×64=320
8 5123×512=1536

Equivalent decimal number = 7 + 16 + 320 + 1536 = 1879

Therefore, (3527) 8  = (1879) 10

Octal
No
PowerValueResult
8 13×1=3
28 82×8=16
8 641×64=64

Equivalent decimal number = 3 + 16 + 64 = 83

Therefore, (123) 8  = (83) 10

Integral part

Octal
No
PowerValueResult
58 15×1=5
08 80x8=0
68 646×64=384

Fractional part

Octal
No
PowerValueResult
18 0.1251×0.125=0.125
28 0.01562×0.0156=0.0312

Equivalent decimal number = 5 + 384 + 0.125 + 0.0312 = 389.1562

Therefore, (605.12) 8  = (389.1562) 10

Convert the following hexadecimal numbers to decimal:

Hexadecimal
Number
PowerValueResult
616 16×1=6
A (10)16 1610×16=160

Equivalent decimal number = 6 + 160 = 166

Therefore, (A6) 16  = (166) 10

Hexadecimal
Number
PowerValueResult
B (11)16 111×1=11
316 163×16=48
116 2561×256=256
A (10)16 409610×4096=40960

Equivalent decimal number = 11 + 48 + 256 + 40960 = 41275

Therefore, (A13B) 16  = (41275) 10

Hexadecimal
Number
PowerValueResult
516 15×1=5
A (10)16 1610×16=160
316 2563×256=768

Equivalent decimal number = 5 + 160 + 768 = 933

Therefore, (3A5) 16  = (933) 10

Hexadecimal
Number
PowerValueResult
916 19×1=9
E (14)16 1614×16=224

Equivalent decimal number = 9 + 224 = 233

Therefore, (E9) 16  = (233) 10

Hexadecimal
Number
PowerValueResult
3 (11)16 13×1=3
A (10)16 1610×16=160
C (12)16 25612×256=3072
716 40967×4096=28672

Equivalent decimal number = 3 + 160 + 3072 + 28672 = 31907

Therefore, (7CA3) 16  = (31907) 10

Convert the following decimal numbers to hexadecimal:

16QuotientRemainder
161324
1688
 0 

Therefore, (132) 10  = (84) 16

16QuotientRemainder
1623520
161473
1699
 0 

Therefore, (2352) 10  = (930) 16

16QuotientRemainder
16122A (10)
1677
 0 

Therefore, (122) 10  = (7A) 16

Multiply=ResultantCarry
0.675 x 16=0.8A (10)
0.8 x 16=0.8C (12)
0.8 x 16=0.8C (12)
0.8 x 16=0.8C (12)
0.8 x 16=0.8C (12)

Therefore, (0.675) 10  = (0.ACCCC) 16

16QuotientRemainder
16206E (14)
1612C (12)
 0 

Therefore, (206) 10  = (CE) 16

16QuotientRemainder
1636193
162262
1614E (14)
 0 

Therefore, (3619) 10  = (E23) 16

Convert the following hexadecimal numbers to octal:

Hexadecimal
Number
Binary
Equivalent
C (12)1100
A (10)1010
81000
30011

(38AC) 16  = (11100010101100) 2

Grouping in bits of 3:

011undefined 100undefined 010undefined 101undefined 100undefined 011 100 010 101 100

Binary
Number
Equivalent
Octal
1004
1015
0102
1004
0113

(38AC) 16  = (34254) 8

Hexadecimal
Number
Binary
Equivalent
60110
D (13)1101
F (15)1111
70111

(7FD6) 16  = (111111111010110) 2

111undefined 111undefined 111undefined 010undefined 110undefined 111 111 111 010 110

Binary
Number
Equivalent
Octal
1106
0102
1117
1117
1117

(7FD6) 16  = (77726) 8

Hexadecimal
Number
Binary
Equivalent
D (13)1101
C (12)1100
B (11)1011
A (10)1010

(ABCD) 16  = (1010101111001101) 2

001undefined 010undefined 101undefined 111undefined 001undefined 101undefined 001 010 101 111 001 101

Binary
Number
Equivalent
Octal
1015
0011
1117
1015
0102
0011

(ABCD) 16  = (125715) 8

Convert the following octal numbers to binary:

Octal
Number
Binary
Equivalent
3011
2010
1001

Therefore, (123) 8  = ( 001undefined 010undefined 011undefined 001 010 011 ) 2

Octal
Number
Binary
Equivalent
7111
2010
5101
3011

Therefore, (3527) 8  = ( 011undefined 101undefined 010undefined 111undefined 011 101 010 111 ) 2

Octal
Number
Binary
Equivalent
5101
0000
7111

Therefore, (705) 8  = ( 111undefined 000undefined 101undefined 111 000 101 ) 2

Octal
Number
Binary
Equivalent
2010
4100
6110
7111

Therefore, (7642) 8  = ( 111undefined 110undefined 100undefined 010undefined 111 110 100 010 ) 2

Octal
Number
Binary
Equivalent
5101
1001
0000
7111

Therefore, (7015) 8  = ( 111undefined 000undefined 001undefined 101undefined 111 000 001 101 ) 2

Octal
Number
Binary
Equivalent
6110
7111
5101
3011

Therefore, (3576) 8  = ( 011undefined 101undefined 111undefined 110undefined 011 101 111 110 ) 2

Convert the following binary numbers to octal

111undefined 111 010

Binary
Number
Equivalent
Octal
0102
1117

Therefore, (111010) 2  = (72) 8

(b) 110110101

110undefined 110 110 101

Binary
Number
Equivalent
Octal
1015
1106
1106

Therefore, (110110101) 2  = (665) 8

(c) 1101100001

001undefined 001 101 100 001

Binary
Number
Equivalent
Octal
0011
1004
1015
0011

Therefore, (1101100001) 2  = (1541) 8

011undefined 011 001

Binary
Number
Equivalent
Octal
0011
0113

Therefore, (11001) 2  = (31) 8

(b) 10101100

010undefined 010 101 100

Binary
Number
Equivalent
Octal
1004
1015
0102

Therefore, (10101100) 2  = (254) 8

(c) 111010111

111undefined 111 010 111

Binary
Number
Equivalent
Octal
1117
0102
1117

Therefore, (111010111) 2  = (727) 8

Add the following binary numbers:

(i) 10110111 and 1100101

1101110111111+1100101100011100 + 1 1 1 0 0 1 1 0 11 0 10 1 0 1 0 1 1 1 1 1 1 1 0 0 11 0

Therefore, (10110111) 2  + (1100101) 2  = (100011100) 2

(ii) 110101 and 101111

11110111011+1011111100100 + 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 11 0

Therefore, (110101) 2  + (101111) 2  = (1100100) 2

(iii) 110111.110 and 11011101.010

0101111101111111.1110+11011101.010100010101.000 + 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 .. . 1 1 0 0 11 0 00 0

Therefore, (110111.110) 2  + (11011101.010) 2  = (100010101) 2

(iv) 1110.110 and 11010.011

011111101.1110+11010.011101001.001 + 1 0 1 1 0 1 1 1 1 1 1 0 0 11 0 0 1 0 1 .. . 1 1 0 0 11 0 01 1

Therefore, (1110.110) 2  + (11010.011) 2  = (101001.001) 2

Question 21

Given that A’s code point in ASCII is 65, and a’s code point is 97. What is the binary representation of ‘A’ in ASCII ? (and what’s its hexadecimal representation). What is the binary representation of ‘a’ in ASCII ?

Binary representation of ‘A’ in ASCII will be binary representation of its code point 65.

Converting 65 to binary:

2QuotientRemainder
2651 (LSB)
2320
2160
280
240
220
211 (MSB)
 0 

Therefore, binary representation of ‘A’ in ASCII is 1000001.

Converting 65 to Hexadecimal:

16QuotientRemainder
16651
1644
 0 

Therefore, hexadecimal representation of ‘A’ in ASCII is (41) 16 .

Similarly, converting 97 to binary:

2QuotientRemainder
2971 (LSB)
2480
2240
2120
260
231
211 (MSB)
 0 

Therefore, binary representation of ‘a’ in ASCII is 1100001.

Question 22

Convert the following binary numbers to decimal, octal and hexadecimal numbers.

(i) 100101.101

Decimal Conversion of integral part:

Binary
No
PowerValueResult
12 11×1=1
02 20x2=0
12 41×4=4
02 80x8=0
02 160x16=0
12 321×32=32

Decimal Conversion of fractional part:

Binary
No
PowerValueResult
12 0.51×0.5=0.5
02 0.250x0.25=0
12 0.1251×0.125=0.125

Equivalent decimal number = 1 + 4 + 32 + 0.5 + 0.125 = 37.625

Therefore, (100101.101) 2  = (37.625) 10

Octal Conversion

100undefined 100 101 . 101

Binary
Number
Equivalent
Octal
1015
1004
1015

Therefore, (100101.101) 2  = (45.5) 8

Hexadecimal Conversion

0010undefined 0010 0101 . 1010

Binary
Number
Equivalent
Hexadecimal
01015
00102
. 
1010A (10)

Therefore, (100101.101) 2  = (25.A) 16

(ii) 10101100.01011

Binary
No
PowerValueResult
02 10x1=0
02 20x2=0
12 41×4=4
12 81×8=8
02 160x16=0
12 321×32=32
02 640x64=0
12 1281×128=128
Binary
No
PowerValueResult
02 0.50x0.5=0
12 0.251×0.25=0.25
02 0.1250x0.125=0
12 0.06251×0.0625=0.0625
12 0.031251×0.03125=0.03125

Equivalent decimal number = 4 + 8 + 32 + 128 + 0.25 + 0.0625 + 0.03125 = 172.34375

Therefore, (10101100.01011) 2  = (172.34375) 10

010undefined 010 101 100 . 010 110

Binary
Number
Equivalent
Octal
1004
1015
0102
0102
1106

Therefore, (10101100.01011) 2  = (254.26) 8

1010undefined 1010 1100 . 0101 1000

Binary
Number
Equivalent
Hexadecimal
1100C (12)
1010A (10)
. 
01015
10008

Therefore, (10101100.01011) 2  = (AC.58) 16

Decimal Conversion:

Binary
No
PowerValueResult
02 10x1=0
12 21×2=2
02 40x4=0
12 81×8=8

Equivalent decimal number = 2 + 8 = 10

Therefore, (1010) 2  = (10) 10

001undefined 001 010

Binary
Number
Equivalent
Octal
0102
0011

Therefore, (1010) 2  = (12) 8

1010undefined 1010

Binary
Number
Equivalent
Hexadecimal
1010A (10)

Therefore, (1010) 2  = (A) 16

(iv) 10101100.010111

Binary
No
PowerValueResult
02 0.50x0.5=0
12 0.251×0.25=0.25
02 0.1250x0.125=0
12 0.06251×0.0625=0.0625
12 0.031251×0.03125=0.03125
12 0.0156251×0.015625=0.015625

Equivalent decimal number = 4 + 8 + 32 + 128 + 0.25 + 0.0625 + 0.03125 + 0.015625 = 172.359375

Therefore, (10101100.010111) 2  = (172.359375) 10

010undefined 010 101 100 . 010 111

Binary
Number
Equivalent
Octal
1004
1015
0102
0102
1117

Therefore, (10101100.010111) 2  = (254.27) 8

1010undefined 1010 1100 . 0101 1100

Binary
Number
Equivalent
Hexadecimal
1100C (12)
1010A (10)
. 
01015
1100C (12)

Therefore, (10101100.010111) 2  = (AC.5C) 16

Keyword Arguments to print()

print() takes a few additional arguments that provide modest control over the format of the output. Each of these is a special type of argument called a keyword argument.

Point to remember:

Keyword arguments have the form <keyword>=<value>.

Any keyword arguments passed to print() must come at the end, after the list of objects to display.

The sep= Keyword Argument

Adding the keyword argument sep=<str> causes objects to be separated by the string <str> instead of the default single space:

>>> print(‘foo’, 42, ‘bar’)

>>> print(‘foo’, 42, ‘bar’, sep=’/’)

>>> print(‘foo’, 42, ‘bar’, sep=’ ‘)

>>> d = {‘foo’: 1, ‘bar’: 2, ‘baz’: 3}

>>> for k, v in d.items():

print(k, v, sep=’ -> ‘)

foo -> 1

bar -> 2

baz -> 3

The end= Keyword Argument

The keyword argument end=<str> causes output to be terminated by <str> instead of the default newline:

print(‘foo’, end=’/’)

print(42, end=’/’)

print(‘bar’)

Solutions of Computer Science with Python by Sumita Arora for Class 11 CBSE & NCERT

Computer science, 2023-24 syllabus.

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Data Representation in Computer MCQ [PDF] 40 Top Question

Data representation in computer MCQ . Questions and answers with PDF for all Computer Related Entrance & Competitive Exams Preparation. Helpful for Class 11, GATE, IBPS, SBI (Bank PO & Clerk), SSC, Railway etc.

Data Representation in Computer MCQ

1. To perform calculation on stored data computer, uses ……… number system. [SBI Clerk 2009]

(1) decimal

(2) hexadecimal

2. The number system based on ‘0’ and ‘1’ only, is known as

(1) binary system

(2) barter system

(3) number system

(4) hexadecimal system

3. Decimal number system is the group of ………… numbers.

(4) 0 to 9 and A to F

4. A hexadecimal number is represented by

(1) three digits

(2) four binary digits

(3) four digits

(4) All of these

5. A hexadigit can be represented by [IBPS Clerk 2012]

(1) three binary (consecutive) bits

(2) four binary (consecutive) bits

(3) eight binary (consecutive) bits

(4) sixteen binary (consecutive) bits

(5) None of the above

6. What type of information system would be recognised by digital circuits?

(1) Hexadecimal system        

(2) Binary system

(3) Both ‘1’ and ‘2’                 

(4) Only roman system

7. The binary equivalent of decimal number 98 is [IBPS Clerk 2012]

(1) 1110001

(2) 1110100

(3) 1100010

(4) 1111001

(5) None of these

8. What is the value of the binary number 101?

9. The binary number 10101 is equivalent to decimal number ………….

10. To convert binary number to decimal, multiply the all binary digits by power of

11. Which of the following is a hexadecimal number equal to 3431 octal number?

12. LSD stands for

(1) Long Significant Digit

(2) Least Significant Digit

(3) Large Significant Digit

(4) Longer Significant Decimal

13. How many values can be represented by a single byte?

14. Which of the following is not a computer code?

(4) UNICODE

15. MSD refers as

(1) Most Significant Digit

(2) Many Significant Digit

(3) Multiple Significant Digit

(4) Most Significant Decimal

 16. The most widely used code that represents each character as a unique 8-bit code is [IBPS Clerk 2011]

(2) UNICODE

17. Today’s mostly used coding system is/are

(4) Both ‘1’ and ‘2’

18. In EBCDIC code, maximum possible characters set size is

19. Code ‘EBCDIC’ that is used in computing stands for

(1) Extension BCD Information Code                         

(2) Extended BCD Information Code

(3) Extension BCD Interchange Conduct                   

(4) Extended BCD Interchange Conduct

20. Most commonly used codes for representing bits are

21. The coding system allows non-english characters and special characters to be represented

22. Which of the following is invalid hexadecimal number?

 23. Gate having output 1 only when one of its input is 1 is called

 24. Gate is also known as inverter.

25. The only function of NOT gate is to ……..

(1) Stop signal

(2) Invert input signal

(3) Act as a universal gate

(4) Double input signal

26. Which of following are known as universal gates?

(1) NAND & NOR

(2) AND & OR

(3) XOR & OR

27. Gate whose output is 0 only when inputs are different is called

28. In the binary language, each letter of the alphabet, each number and each special character is made up of a unique combination of [BOB Clerk 2010]

c) 8 character

29. Decimal equivalent of (1111) 2 is [IBPS Clerk 2012]

30. ASCII code for letter A is

a) 1100011                 

b) 1000001                 

c) 1111111                 

31. Which of the following is not a binary number? [IBPS Clerk 2011]

32. Which of the following is an example of binary number? [IBPS Clerk 2011]

33. Numbers that are written with base 10 are classified as

(1) decimal number

(2) whole number

(3) hexadecimal number

(4) exponential integers

34. The octal system [IBPS Clerk 2011]

(1) needs less digits to represent a number than in the binary system

(2) needs more digits to represent a number than in the binary system

(3) needs the same number of digits to represent a number as in the binary system

(4) needs the same number of digits to represent a number as in the decimal system

35. Hexadecimal number system has ………. base.

36. ASCII stands for [IBPS Clerk 2011,2014]

(1) American Special Computer for Information Interaction

(2) American Standard Computer for Information Interchange

(3) American Special Code for Information Interchange

(4) American Special Computer for Information Interchange

(5) American Standard Code for Information Interchange

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  • Introduction to Data Representation
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About Data Representation

Data can be anything, including a number, a name, musical notes, or the colour of an image. The way that we stored, processed, and transmitted data is referred to as data representation. We can use any device, including computers, smartphones, and iPads, to store data in digital format. The stored data is handled by electronic circuitry. A bit is a 0 or 1 used in digital data representation.

Data Representation Techniques

Data Representation Techniques

Classification of Computers

Computer scans are classified broadly based on their speed and computing power.

1. Microcomputers or PCs (Personal Computers): It is a single-user computer system with a medium-power microprocessor. It is referred to as a computer with a microprocessor as its central processing unit.

Microcomputer

Microcomputer

2. Mini-Computer: It is a multi-user computer system that can support hundreds of users at the same time.

Types of Mini Computers

Types of Mini Computers

3. Mainframe Computer: It is a multi-user computer system that can support hundreds of users at the same time. Software technology is distinct from minicomputer technology.

Mainframe Computer

Mainframe Computer

4. Super-Computer: With the ability to process hundreds of millions of instructions per second, it is a very quick computer. They  are used for specialised applications requiring enormous amounts of mathematical computations, but they are very expensive.

Supercomputer

Supercomputer

Types of Computer Number System

Every value saved to or obtained from computer memory uses a specific number system, which is the method used to represent numbers in the computer system architecture. One needs to be familiar with number systems in order to read computer language or interact with the system. 

Types of Number System

Types of Number System

1. Binary Number System 

There are only two digits in a binary number system: 0 and 1. In this number system, 0 and 1 stand in for every number (value). Because the binary number system only has two digits, its base is 2.

A bit is another name for each binary digit. The binary number system is also a positional value system, where each digit's value is expressed in powers of 2.

Characteristics of Binary Number System

The following are the primary characteristics of the binary system:

It only has two digits, zero and one.

Depending on its position, each digit has a different value.

Each position has the same value as a base power of two.

Because computers work with internal voltage drops, it is used in all types of computers.

Binary Number System

Binary Number System

2. Decimal Number System

The decimal number system is a base ten number system with ten digits ranging from 0 to 9. This means that these ten digits can represent any numerical quantity. A positional value system is also a decimal number system. This means that the value of digits will be determined by their position. 

Characteristics of Decimal Number System

Ten units of a given order equal one unit of the higher order, making it a decimal system.

The number 10 serves as the foundation for the decimal number system.

The value of each digit or number will depend on where it is located within the numeric figure because it is a positional system.

The value of this number results from multiplying all the digits by each power.

Decimal Number System

Decimal Number System

Decimal Binary Conversion Table

Decimal 

Binary

0

0000

1

0001

2

0010

3

0011

4

0100

5

0101

6

0110

7

0111

8

1000

9

1001

10

1010

11

1011

12

1100

13

1101

14

1110

15

1111

3. Octal Number System

There are only eight (8) digits in the octal number system, from 0 to 7. In this number system, each number (value) is represented by the digits 0, 1, 2, 3,4,5,6, and 7. Since the octal number system only has 8 digits, its base is 8.

Characteristics of Octal Number System:

Contains eight digits: 0,1,2,3,4,5,6,7.

Also known as the base 8 number system.

Each octal number position represents a 0 power of the base (8). 

An octal number's last position corresponds to an x power of the base (8).

Octal Number System

Octal Number System

4. Hexadecimal Number System

There are sixteen (16) alphanumeric values in the hexadecimal number system, ranging from 0 to 9 and A to F. In this number system, each number (value) is represented by 0, 1, 2, 3, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Because the hexadecimal number system has 16 alphanumeric values, its base is 16. Here, the numbers are A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15.

Characteristics of Hexadecimal Number System:

A system of positional numbers.

Has 16 symbols or digits overall (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F). Its base is, therefore, 16.

Decimal values 10, 11, 12, 13, 14, and 15 are represented by the letters A, B, C, D, E, and F, respectively.

A single digit may have a maximum value of 15. 

Each digit position corresponds to a different base power (16).

Since there are only 16 digits, any hexadecimal number can be represented in binary with 4 bits.

Hexadecimal Number System

Hexadecimal Number System

So, we've seen how to convert decimals and use the Number System to communicate with a computer. The full character set of the English language, which includes all alphabets, punctuation marks, mathematical operators, special symbols, etc., must be supported by the computer in addition to numerical data. 

Learning By Doing

Choose the correct answer:.

1. Which computer is the largest in terms of size?

Minicomputer

Micro Computer

2. The binary number 11011001 is converted to what decimal value?

Solved Questions

1. Give some examples where Supercomputers are used.

Ans: Weather Prediction, Scientific simulations, graphics, fluid dynamic calculations, Nuclear energy research, electronic engineering and analysis of geological data.

2. Which of these is the most costly?

Mainframe computer

Ans: C) Supercomputer

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FAQs on Introduction to Data Representation

1. What is the distinction between the Hexadecimal and Octal Number System?

The octal number system is a base-8 number system in which the digits 0 through 7 are used to represent numbers. The hexadecimal number system is a base-16 number system that employs the digits 0 through 9 as well as the letters A through F to represent numbers.

2. What is the smallest data representation?

The smallest data storage unit in a computer's memory is called a BYTE, which comprises 8 BITS.

3. What is the largest data unit?

The largest commonly available data storage unit is a terabyte or TB. A terabyte equals 1,000 gigabytes, while a tebibyte equals 1,024 gibibytes.

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  2. NCERT Solutions for Class 11 Computer Science (Python)

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  5. DATA REPRESENTATION

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  6. Chapterwise Question Bank CBSE Class 11 Computer Science (Python)

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  7. Data Representation in Computers

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  8. Data Representation (Part 1)

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  9. Data Representation Class 11

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  11. Solutions of Computer Science with Python by Sumita Arora for Class 11

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  12. Data Representation in Computer MCQ [PDF] 40 Top Question

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  14. PDF Chapter-3 DATA REPRESENTATION

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  16. Introduction to Data Representation

    The way that we stored, processed, and transmitted data is referred to as data representation. We can use any device, including computers, smartphones, and iPads, to store data in digital format. The stored data is handled by electronic circuitry. A bit is a 0 or 1 used in digital data representation. Data Representation Techniques.

  17. NCERT Class 11 Computer Science Data Representation in Computers

    NCERT Class 11 Computer Science Data Representation in Computers - Free download as PDF File (.pdf), Text File (.txt) or read online for free. The document discusses various number systems used in computers like binary, octal, decimal, and hexadecimal. It provides methods to convert between these number systems. Key points covered include: - Binary, octal, decimal, and hexadecimal number ...

  18. Preeti Arora Python Class 11 Chapter 2 (Data Representation ...

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