Fundamental Knowledge of Computer

Computer is an electronic machine which generates information by processing raw data according to the prescribed instructions. It accepts data, process it and give required output. This note provide us an information about introduction to computer and IPC cycle.

Summary

Computer is an electronic machine which generates information by processing raw data according to the prescribed instructions. It accepts data, process it and give required output. This note provide us an information about introduction to computer and IPC cycle.

Things to Remember

  • The computer is an electronic machine which generates information by processing raw data according to the prescribed instructions. It accepts data, process it and give required output.
  • The set of steps that the computer follow to receive data, process the data according to the instructions, display the result and store the result is known as Information Processing Cycle.
  • The information processing cycle has four steps. They are input, process, output and storage.
  • The computer data from the user through input devices such as keyboard, mouse etc.
  • Monitor, printer, plotter etc are some of the common examples of output devices.
  • The meaningful result obtained after processing is known as information.
  • The collection of computer programs and related data that provide the instructions telling a computer what to do is called software.
  •  The physical parts of the computer that can be touched, seen and felt are called hardware.

MCQs

No MCQs found.

Subjective Questions

Q1:

Find the value of:

\(\sqrt[3]{8x^{-3}}\)


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:\(\sqrt{3}{8x^{-3}}\)</p> <p>=\(\sqrt[3]\frac{8}{x^3}\)</p> <p>= (\(\frac {8}{x^3}\))<sup>\(\frac 13\)</sup></p> <p>={ (\(\frac {2}{x}\))\(^3\)}<sup>\(\frac 13\)</sup></p> <p>= \(\frac{2}{x}\) Ans.</p>

Q2:

Find the value of:

\({\left( \frac{5^{\frac{4}{3}}.5^{\frac{4}{3}}}{25^{\frac{1}{2}}} \right)}^\frac{3}{4}\)


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Solu:\({\left( \frac{5^{\frac{4}{3}}.5^{\frac{4}{3}}}{25^{\frac{1}{2}}} \right)}^\frac{3}{4}\)</p> <p> = \({\left( \frac{5^{\frac{4}{3}}.-^{\frac{1}{3}}}{5^2{\frac{1}{2}}} \right)}^\frac{3}{4}\)</p> <p> = \({\left( \frac{5^{\frac{4-1}{3}}}{5} \right)}^\frac{3}{4}\)</p> <p> = \({\left( \frac{5^{\frac{3}{3}}}{5} \right)}^\frac{3}{4}\)</p> <p> = \({\left( \frac{5^1}{5} \right)}^\frac{3}{4}\)</p> <p> = (1)<sup>\(\frac{3}{4}\)</sup></p>

Q3:

Find the value of:

 \({\left( \frac{x^0}{64} \right)}^\frac{-2}{3}\)

 


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln: \({\left( \frac{x^0}{64} \right)}^\frac{-2}{3}\)</p> <p> =\({\left( \frac{1}{64} \right)}^\frac{-2}{3}\)</p> <p> =\({\left( \frac{1}{4^3} \right)}^\frac{-2}{3}\)</p> <p> =\({\left(4^{-3} \right)}^\frac{-2}{3}\)</p> <p> = (4)<sup>2</sup></p> <p> =16 Ans.</p>

Q4:

Find the values:

(\(\sqrt{3}\))6


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:(\(\sqrt{3}\))<sup>6</sup></p> <p> =(\(\sqrt{3^\frac{1}{2}}\))<sup>6</sup></p> <p> = 3<sup>3</sup></p> <p> = 27 Ans.</p>

Q5:

Solve the following equation and verify them:

4x=64


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln: 4<sup>x</sup>=4<sup>3</sup></p> <p> &there4; x=3 Ans.</p> <p>To verify: Put the value of x in given equation,</p> <p> 4<sup>3</sup>=64 is true.</p>

Q6:

Solve the following  equation and verify them:

27x=3x+4


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:27<sup>x</sup>=3<sup>x+4</sup></p> <p>or, 3<sup>3</sup><sup>x</sup>=3<sup>x+4</sup></p> <p>or, 3x=x+4</p> <p>or, 3x-x=4</p> <p>or, 2x=4</p> <p>&there4; x=4/2= 2 Ans.</p> <p>To verify: Put the value of x in given equation,</p> <p> 27<sup>2</sup>=3<sup>x+4</sup></p> <p>or, 729= 3<sup>6</sup></p> <p>or,729=729 is true.</p> <p></p> <p></p>

Q7:

Solve the following  equation and verify them:

 

92x=33-2x


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:9<sup>2x</sup>=3<sup>3</sup><sup>-2x</sup></p> <p>or, (3<sup>2</sup>)<sup>2x</sup>=3<sup>3</sup><sup>-2x</sup></p> <p>or, 3<sup>4x</sup>=3<sup>3-2x</sup></p> <p>or, 4x=3-2x</p> <p>or, 4x+2x=3</p> <p>or, 6x=3</p> <p>&there4; x=\(\frac{3}{6}\)=\(\frac{1}{2}\) Ans.</p> <p>Now, putting the value of x in given equation for the verification.</p> <p>9<sup>2&times;\(\frac{1}{2}\)</sup>=3<sup>3-2&times;\(\frac{1}{2}\)</sup></p> <p>or, 9=3<sup>3-1</sup></p> <p>or, 9=3<sup>2</sup></p> <p>or, 9=9 is true.</p>

Q8:

Solve the following equation and verify them:

2×83=2x-4


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln: 2&times;8<sup>3</sup>=2<sup>x-4</sup></p> <p>or, 2&times;(2<sup>2</sup>)<sup>3</sup> =2<sup>x-4</sup></p> <p>or, 2<sup>1</sup>&times;2<sup>9</sup>=2<sup>x-4</sup></p> <p>or, 2<sup>10</sup>=2<sup>x-4</sup></p> <p>or,10=x-4</p> <p>or, 10+4=x</p> <p>&there4;x=14 Ans.</p> <p>To verify: Put the value of x in given equation.</p> <p> 2&times;8<sup>3</sup>=2<sup>14-4</sup></p> <p>or, 2&times; (2<sup>3</sup>)<sup>3</sup>=2<sup>10</sup></p> <p>or, 2<sup>1</sup>&times;2<sup>9</sup>=2<sup>10</sup></p> <p>or,2<sup>10</sup>=2<sup>10</sup> is true.</p>

Q9:

Solve the following equation and verify them:

 2x+1-2x-8=0


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:2<sup>x+1</sup>-2<sup>x</sup>-8=0</p> <p>or,2<sup>x+1</sup>-2<sup>x</sup>=8</p> <p>or, 2<sup>x</sup>.2-2<sup>x</sup>=8</p> <p>or,2<sup>x</sup>(2-1)=2<sup>3</sup></p> <p>or, 2<sup>x</sup>.1=2<sup>3</sup></p> <p>&there4;x=3 Ans.</p> <p>To verify: Put the value of x in given equation</p> <p>2<sup>3+1</sup>-2<sup>3</sup>-8=0</p> <p>or, 2<sup>4</sup>-8-8=0</p> <p>or, 16-16=0</p> <p>or, 0=0 is true.</p> <p></p>

Q10:

Solve the following equation and verify them:

 2x+3.3x+4=18


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:2<sup>x+3</sup>.3<sup>x+4</sup>=18</p> <p>or,2<sup>x</sup>&times;2<sup>3</sup>&times;3<sup>x</sup>&times;3<sup>4</sup> =18</p> <p>or,2<sup>x</sup>&times;8&times;3<sup>x</sup>&times;81 =18</p> <p>or,2<sup>x</sup>&times;3<sup>x</sup>=\(\frac{18}{8&times;81}\)</p> <p>or, (2&times;3)<sup>x</sup>=\(\frac{1}{36}\)</p> <p>or, 6<sup>x</sup>=\(\frac{1}{6^2}\)</p> <p>or, 6<sup>x</sup>=6<sup>-2</sup></p> <p>&there4;x=-2 Ans.</p> <p>To verify: Put the value of x given equation</p> <p> 2<sup>-2+3</sup>.3<sup>-2+4</sup>=18</p> <p>or, 2<sup>1</sup>.3<sup>2</sup>=18</p> <p>or, 2.9=18</p> <p>or, 18=18 is true.</p>

Q11:

Solve the following equation and verify them:

 22x-3.5x-1=200


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:22x-3.5<sup>x-1</sup>=200</p> <p>or,2<sup>2</sup><sup>x</sup>&times;2<sup>-</sup><sup>3</sup>&times;5<sup>x</sup>&times;5<sup>-1</sup>=200</p> <p>or,2<sup>2</sup><sup>x</sup>&times;5<sup>x</sup>=\(\frac{200}{2^{-3}.5^{-1}}\)</p> <p>or,4<sup>x</sup>.5<sup>x</sup> =200&times; 2<sup>3</sup>&times; 5</p> <p>or,(4&times;5)<sup>x</sup>=200&times;8&times;5</p> <p>or, (20)<sup>x</sup>=8000</p> <p>or, (20)<sup>x</sup>=8000</p> <p>or,(20)<sup>x</sup>=(20)<sup>3</sup></p> <p>&there4;x=3 Ans.</p> <p>To verify: Put the value of x given equation</p> <p>2<sup>6-3</sup>.3<sup>3-1</sup>=200</p> <p>or, 2<sup>3</sup>.5<sup>2</sup>=200</p> <p>or, 8 25=200</p> <p>or, 200=200 is true.</p>

Q12:

Solve the following equation and verify them:

 2x-4=4x-6


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:2<sup>x-4</sup>=4x-6</p> <p>or,2<sup>x-4</sup>=2<sup>2(x-6)</sup></p> <p>or,2<sup>x-4</sup>=2<sup>2x-12</sup></p> <p>or,x-4=2x-12</p> <p>or,x-2x=-12+4</p> <p>or, -x=-8</p> <p>&there4;x=8 Ans.</p> <p>To verify: Put the value of x given equation</p> <p>2<sup>8-4</sup>=4<sup>8-6</sup></p> <p>or, 2<sup>4</sup>=4<sup>2</sup></p> <p>or,16=16 is true</p> <p></p>

Q13:

Solve the following equation and verify them:

 2x-4=4x-6


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Soln:2<sup>x+2</sup>=\(\frac{2^{x+3}}{2}\)=1</p> <p>or, \(\frac{2^{x+2.2^1+2^x+3}}{2}\)=1</p> <p>or,2<sup>x+2+1</sup>.2<sup>x+3</sup>=2</p> <p>or,2<sup>x+3</sup>.2<sup>x+3</sup>=2</p> <p>or,2<sup>x+3</sup>(1+1)=2</p> <p>or, 2<sup>x+3</sup>.2=2</p> <p>or, 2<sup>x+3</sup>=\(\frac{2}{2}\)</p> <p>or,2<sup>x+3</sup>=1</p> <p>or,2<sup>x+3</sup>=0</p> <p>&there4;x=-3 Ans.</p> <p>To verify: Put the value of x given equation</p> <p>2<sup>x+2</sup>+\(\frac{2^{x+3}}{2}\)=1</p> <p>or,2<sup>-3+2</sup>+\(\frac{2^{-3+3}}{2}\)=1</p> <p>or,2<sup>-1</sup>+\(\frac{2^0}{2}\)=1</p> <p>or,\(\frac{1}{2}\)\(\frac{1}{2}\)=1 [&there4;2<sup>-1</sup>=\(\frac{1}{2}\) and 2<sup>0</sup>=1]</p> <p>or, \(\frac{1+1}{2}\)</p> <p>or, \(\frac{2}{2}\)=1</p> <p>or, 1=1 is true</p> <p></p>

Q14:

Solve:3x=27


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Here, 3<sup>x</sup>=27</p> <p> or, 3<sup>x</sup>=3<sup>3</sup></p> <p> &there4; x=3</p>

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 Fundamental Knowledge of Computer

Fundamental Knowledge of Computer

The computer is an electronic machine which generates information by processing raw data according to the prescribed instructions. It accepts data, process it and give required output.

The first fully electronic computers, introduced in 1940s, were huge machines that required teams of people to operate. Compared to those early machines, today's computers are not only thousand times faster, they can fit on your desk, lap and even pocket. You must appreciate the impact of the computer in our day-to-day life. The computer has been useful in the reservation of tickets in Airlines and Railways, payment of telephone and electricity bills, deposits etc.

Information Processing Cycle (IPC)

A computer converts data into information by performing various actions. The computer accepts data from the input devices and processes them according to the given instructions. After the processing task, the computer produces the meaningful output and displays them through output devices. Such process performed by the computer is known as IPC cycle.

The set of steps that the computer follows to receive data, process the data according to the instructions, display the result and store the result is known as Information Processing Cycle.The information processing cycle has four steps. They are as follows:

  • Input: The computer gets data from the user through input devices such as keyboard, mouse etc. This is the very first step of the computer.
  • Process: This is the second step of the computer cycle. In this step the computer's processing device process the input data based on instructions. CPU is the main processing unit of the computer.
  • Output: This is the third step of the computer cycle. The computer gives meaningful information after completion of processing task which is displayed on the output devices. Monitor, printer, plotter etc are some of the common examples of output devices.
  • Storage: This is the fourth step of computer cycle. The computer permanently stores the result of processing on Hard disks or some other kinds of storage medium.

Advantage and disadvantage of computer

The computer has been the most useful machine in today's world. It is necessary for the user to know about basic layout and function of the computer. A computer can perform the task very quickly as well as accurately. But, it is a man-made thing, which do the things that the humans program them to do. The computer does not have common sense. It just does things what we tell it to do.

Uses of computer

Computer users should know about uses and application of computer. We should know which software is to be used to solve different kinds of problems as well as to control the operations of the computer hardware.

Ways to acquire computer software

The second most important component of the computer system is software. There are different kinds of computer software. We use the different software according to our requirements. We should buy some software like Microsoft Word whereas we can utilize some software freely. Such software are known as open source software, example: open office.

Impact of computer

Today the computer has changed our society. The computer has affected all aspects of people's lives. It is useful for us to know how the computer has changed the style of our daily activities. In near future, we shall totally depend on the computer.

Some useful terms

Data: Data are the raw facts collected together for reference or analysis.

Information: The meaningful result obtained after processing is known as information.

Program: The set of instructions which are used in the programming language is known as program.

Hardware: The physical parts of the computer that can be touched, seen and felt are called hardware.

Software: The collection of computer programs and related data that provide the instructions telling a computer what to do is called software.

Lesson

Computer Overview

Subject

Computer

Grade

Grade 8

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