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# Touchpad Computer Book Class 7 Ch 1 Solution

Touchpad Computer Book Class 7 Ch 1 Exercise Solution

## Touchpad Computer Book Class 7 Ch 1 Solution

Touchpad Computer Book Class 7 Ch 1 Solution

Number System

Certainly, here’s a basic overview of the number system:

Number System: A Fundamental Concept

A number system is a way of representing and expressing numbers. It serves as the foundation for all mathematical calculations and operations. Different number systems are used in various contexts, including everyday life, mathematics, and computer science.

Types of Number Systems:

1. Decimal Number System (Base 10):

• The most common number system used in daily life.
• Consists of ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
• Each digit’s position represents a power of 10, also known as the base.
2. Binary Number System (Base 2):

• Fundamental to computer systems and digital electronics.
• Consists of only two digits: 0 and 1.
• Each digit’s position represents a power of 2.
3. Octal Number System (Base 8):

• Less commonly used but still relevant in some computer applications.
• Consists of eight digits: 0, 1, 2, 3, 4, 5, 6, and 7.
• Each digit’s position represents a power of 8.
4. Hexadecimal Number System (Base 16):

• Widely used in computer science and programming.
• Consists of sixteen digits: 0-9 and A-F (where A represents 10, B represents 11, and so on).
• Each digit’s position represents a power of 16.

Place Value and Digits:

In any number system, the value of a digit depends on its position within the number. This concept is known as the place value. For example, in the decimal system, the number 253 can be understood as follows:

• The digit 3 is in the units place (10^0), contributing 3 to the number.
• The digit 5 is in the tens place (10^1), contributing 5 * 10 = 50 to the number.
• The digit 2 is in the hundreds place (10^2), contributing 2 * 100 = 200 to the number.

Converting Between Number Bases:

Converting numbers between different number bases involves understanding the place value system of each base and rearranging digits accordingly. For instance, to convert a binary number to decimal, you calculate the value of each digit’s position and sum them up.

Applications:

• Decimal: Used for most everyday calculations, finances, and measurements.
• Binary: Fundamental to computers for data storage and processing.
• Octal: Used in computer programming, especially in early computer systems.
• Hexadecimal: Widely used in programming to represent memory addresses, color codes, and more.

Conclusion:

Understanding the basics of number systems is crucial for various fields, including mathematics and computer science. It enables effective communication and manipulation of numbers in different contexts, contributing to problem-solving, programming, and technological advancements

## Touchpad Computer Book Class 7 Ch 1 Solution

1. Tick the correct option.

a. In the binary number system, right most digit before the fractional point is called…………………

(i) MSD                              (ii) LSD                 (iii) BSD               (iv) None of these

Ans: LSD

b.What is the other name of Base 2?

(i) Binary Number System                             (ii) Hexadecimal Number System

(iii) Decimal Number System                        (iv) Octal Number System

Ans: Binary Number System

c. What are the two symbols present in the binary number system?

(i) 1 and 2                                                          (ii) 0 and 1

(iii) 8 and 9                                                      (iv) 5 and 6

Ans: 0 and 1

d. The decimal number (345)10 is equivalent to ………………………

(i) (101011001)                                             (ii) (110111001)2

(iii) (111011101)                                            (iv) (111110001)2

Ans: (101011001)

e. In binary addition, 0 + 1 is equal to …………………….

(i) 0                                                                    (ii) 1

(iii) 10                                                               (iv) 2

Ans: 1

2. Write ‘T’ for True and ‘F’ for false.

a. A number system is simply a manner of counting …….T

b. The base of the decimal number system is 8. …….F

c. The word binary comes from ‘Bi-‘ meaning two. …….T

d. The octal number system is used as a shorthand representation of long binary numbers. …….T

e. The hexadecimal number system consists of 16 digits. …….T

3. Fill in the blanks using the words from the help box.

a. In binary subtraction, 1 – 1 equals to …………………….0…….

b. The base of the binary number system is ………………….2…….

c. The base of ……….Decimal Number…………… system is 10.

d In binary addition, 1+1 is equal to …………10…….

e. The octal number system consists of ……………..8…………digits.

f. Computer system understand ………..binary………..numbers.

a. What is an octal number system?

Ans: The octal number system consists of eight digits from 0 – 7. Hence, the base of the octal number system is 8.

b. How many bits are there in 1 Nibble?

Ans: 4 Bits = 1 Nibble

c. What do you mean by base in a number system?

Ans: The Total number of digits used in a number system is called its base or radix.

a. What is a number system? Explain.

Ans. The number system is simply a method of counting. There are four types of number systems.

1. Decimal Number System
2. Binary Number System
3. Octal Number System

b. What are the rules for converting a decimal number into a binary number?

Ans. Rules are given below.

1. Divide the decimal number by 2 (the base of the binary number system).
2. Note down the quotient and remainder.
3.  Divide the quotient obtained again by 2 and note down the resulting quotient and remainder.
4. Repeat the process till you reach a quotient less than 2.
5. List the last quotient and all the remainder (Moving from bottom to top). You will get your binary number.

c. Write the rules to subtract two binary numbers.

Ans: Rules for binary Subtraction.

• 0 – 0 = 0
• 0 – 1 = 1 (Borrow 1, so that 10 – 1 = 1)
• 1 – 0 = 1
• 1 – 1 = 0  