Number System | number system class 9

Number System | number system class 9

The procedure to address and work with numbers is called number framework. Decimal number framework is the most widely recognized number framework. Other famous number frameworks incorporate paired number framework, octal number framework, hexadecimal number framework, and so on.

Decimal Number Framework

Decimal number framework is a base 10 number framework having 10 digits from 0 to 9. This implies that any mathematical amount can be addressed utilizing these 10 digits. Decimal number system is similarly a positional worth structure.

 This implies that the worth of digits will rely upon its situation. Allow us to take a guide to grasp this.

Let's assume we have three numbers - 734, 971 and 207. The worth of 7 in each of the three numbers is different−

Number System

• In 734, worth of 7 will be 7 hundreds or 700 or 7 × 100 or 7 × 102
• In 971, worth of 7 will be 7 tens or 70 or 7 × 10 or 7 × 101
• In 207, esteem 0f 7 will be 7 units or 7 or 7 × 1 or 7 × 100
• The weightage of each position can be addressed as follows −

In computerized frameworks, guidelines are given through electric signs; variety is finished by differing the voltage of the sign. Having 10 unique voltages to carry out decimal number framework in computerized hardware is troublesome. Along these lines, many number frameworks that are simpler to carry out carefully have been created. Could we look at them thoroughly.

Paired Number Framework

The least demanding method for changing directions through electric signs is two-state framework - here and there. On is addressed as 1 and off as 0, however 0 isn't no sign except for signal at a lower voltage. The number framework having quite recently these two digits - 0 and 1 - is called paired number framework.

Every paired digit is likewise called a little. Twofold number framework is likewise positional worth framework, where every digit has a worth communicated in abilities of 2, as shown here.

Number System

In any parallel number, the furthest right digit is called least huge piece (LSB) and furthest left digit is called most critical piece (MSB).

.What's more, decimal likeness this number is amount of result of every digit with its positional worth.

110102 = 1×24 + 1×23 + 0×22 + 1×21 + 0×20

= 16 + 8 + 0 + 2 + 0

= 2610

PC memory is estimated as far as the number of pieces it that can store. Here is a diagram for memory limit transformation

• 1 byte (B) = 8 pieces
• 1 Kilobytes (KB) = 1024 bytes
• 1 Megabyte (MB) = 1024 KB
• 1 Gigabyte (GB) = 1024 MB
• 1 Terabyte (TB) = 1024 GB
• 1 Exabyte (EB) = 1024 PB
• 1 Zettabyte = 1024 EB
• 1 Yottabyte (YB) = 1024 ZB
• Octal Number Framework
• Octal number framework has eight digits - 0, 1, 2, 3, 4, 5, 6 and 7. Octal number framework is likewise a positional worth framework with where every digit has its worth communicated in abilities of 8, as displayed here −

Decimal likeness any octal number is amount of result of every digit with its positional worth.

Number System

7268 = 7×82 + 2×81 + 6×80

= 448 + 16 + 6

= 47010

Hexadecimal Number Framework

Octal number framework has 16 images - 0 to 9 and A to F where An is equivalent to 10, B is equivalent to 11, etc till F. Hexadecimal number framework is likewise a positional worth framework with where every digit has its worth communicated in abilities of 16, as displayed here −

Decimal likeness any hexadecimal number is amount of result of every digit with its positional worth.

27FB16 = 2×163 + 7×162 + 15×161 + 10×160

= 8192 + 1792 + 240 +10

= 1023410

Number Framework Relationship

The accompanying table portrays the connection between decimal, twofold, octal and hexadecimal number frameworks.

number system class 9 

HEXADECIMAL DECIMAL OCTAL BINARY

0 0 0 0000

1 1 1 0001

2 2 2 0010

3 3 3 0011

4 4 4 0100

5 5 5 0101

6 6 6 0110

7 7 7 0111

8 8 10 1000

9 9 11 1001

A 10 12 1010

B 11 13 1011

C 12 14 1100

D 13 15 1101

E 14 16 1110

F 15 17 1111

ASCII

Other than mathematical information, PC should have the option to deal with letter sets, accentuation marks, numerical administrators, exceptional images, and so forth that structure the total person set of English language. The absolute plan of characters or pictures are called alphanumeric codes. The total alphanumeric code regularly incorporates −

●number system class 9 

●26 capitalized letters

●26 lower case letters

●10 digits

●7 accentuation marks

●20 to 40 unique characters

Presently a PC sees just numeric qualities, anything the number framework utilized. So all characters should have a numeric identical called the alphanumeric code. The most broadly utilized alphanumeric code is American Standard Code for Data Trade 

ISCII-Number System

ISCII represents Indian Content Code for Data Trade. IISCII was created to help Indian dialects on PC. Language upheld by IISCI incorporate Devanagari, Tamil, Bangla, Gujarati, Gurmukhi, Tamil, Telugu, and so on. IISCI is for the most part utilized by government divisions and before it could get on, another all inclusive encoding standard called Unicode was presented.

Unicode-Number System

Unicode is a worldwide coding framework intended to be utilized with various language scripts. Each person or image is doled out a novel numeric worth, to a great extent inside the system of ASCII. Prior, each content had its own encoding framework, which could struggle with one another.

Conversely, this is the very thing Unicode formally does − Unicode gives an extraordinary number to each person, regardless of what stage, regardless of what program, regardless of what language.

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