Number system
Computer Number System
Definition: - The system by which the number of computer is written and its value is extracted. It is called Computer Number System. Friends, as you know, whatever inputs we send in the computer, the computer understands in its language i.e. binary language (0,1), changes the input given by us to computer binary number system (binary number system), its After that it turns into Electronic Pulse and stream flows in the circuit of the computer, where 1 means "Switch ON" and 0 means "Switch OFF". All the functions of the computer are dependent on two numbers (0 and 1)
Friends, nowadays you think that when our computer understands 0 and 1, then how can you understand the Number and Character given by the keyboard, friends, you know that when you send the input to the computer (Number and Character) And changes the character to ASCII code, and this same ASCII code then changes into binary language 0 and 1 is replaced by the number and the character in the ASCII code and the ASCII code in 0 and 1 is written by the language Translator in the language Translator computer first From itself Jud System Software are.
Type of Computer Number System
Computer number system is divided into four parts.
1. Binary Number System
2. Decimal Number System
3. Octal Number System
4. Hexadecimal Number System
Binary Number System: -
Binary number system is a system that has a number of 0 and 1. And its base is 2, the binary numbers display the system in the following ways
As- (100001010) 2 and (1000101) 2
Decimal Number System: -
Decimal Number System is a Number System that has a number from 0 to 9 and its base is 10. Decimal displays the Number System as follows
As- (12548) 10 and (6335.25) 10
Octal Number System: -
The Octal Number System is a number system that has a number of 0 to 7 and its base is eight, showing the Octal Number System as follows
As- (4501) 8
Hexadecimal Number system: -
Hexadecimal Number system is a number system that has a number from 0 to 15. In this number system the number from 0 to 9 is written as well, whereas 10, 11, 12, 13, 14, 15 are expressed by A, B, C, D, E, F, respectively.
As- (1) - (4501) 16
(2) - (63DC) 16
Hexadecimal Number system is the largest Number System in Computer number System.
Conversion of Number System in Computer Number system: -
Rule -1
Convert Decimal Number to Binary Number (Change Decimal Number to Binary Number): -
To convert a decimal number system into a binary number, the decimal number is divided into 2 and the remainder and the last quotient (0 and 1) is written in the order from above to below.
But if the number associated with a decimal is drawn from the Binary, then it is multiplied by 2 and the integer on the left side is written as well.
Example for Convert Decimal Number in Binary Number:
Rule -2
Convert Binary in Decimal Number (Change the Binary Number to Decimal Number): -
If you want to convert a Binary Number to Decimal Number, then from 2 to 3, 4, 5, 6, ............. n ) Is added by dividing the corresponding Binary Number with the power, and the number obtained by adding is called Decimal Number.
But if the binary numbers obtained from the decimal number are converted into Decimal Number, then by multiplying by 2-1, 2-2, ........ 2-n from the left in the Binary Number respectively, Adds the value of decimal by adding.
Example for Convert Binary Number in Decimal Number:
Rule-3
Convert Decimal Number in Octal Number (Change Decimal Number to Octal Number): -
To convert a decimal number into an Octal number, the decimal number is divided into 8 and the remainder and the last quotient is written in the order from above to below.
Note- Octal number ranges from 0 to 7 and the Octal Number is larger than Decimal Number.
Example for Convert Decimal Number in Octal Number: -
Rule-4
Convert Octal Number to Decimal Number (Change the Octal Number to Decimal Number): -
If to convert an Octal Number to Decimal Number, then on the right, in the Octal Numbers, the power at 8 (respectively, 0, 1, 2, 3, 4, 5, 6, ............. n ) Is added by multiplying the ambiguous Octal Number together and the number obtained by adding is called Decimal Number.
Example for Convert Octal Number in Decimal Number:
Rule-5
Convert Octal Number in Binary Number (change the Octal number to Binary Number): -
To convert an Octal Number into a binary number, it is assumed that every number of octal number gets its binary by assuming the decimal number and if this pair of 3-3 is formed then this is fine, otherwise by adding 0 to 3-3 Adds the pair and collects the pair together.
Example for Convert Octal Number in Binary Number-
Rule-6
Convert Binary in Octal Number (Change the Binary Number to Octal Number): -
If a binary number is to get the octal, then binary numbers form a pair of binary number 3-3 on the right side, if there is a lack of binary numbers while adding the pair, then Extra 0 on the left side, and add this couple by adding this Let's say that the decimal of the same decimal number is written in the Octal Number.
Example for Convert Binary in Octal-
Rule-7
Convert Decimal Number in Hexadecimal Number (Change Decimal Number to Hexadecimal Number): -
To convert a Decimal Number system into Hexadecimal number, the decimal number is divided into 16 and the remainder and the last quotient is written in the order from above to below.
Note- The hexadecimal number ranges from 0 to 15 and the hexadecimal number is larger than the decimal number.
Example for Convert Decimal Number in Hexadecimal Number-
Rule-8
Covert Hexadecimal Number in Decimal Number (Change the hexadecimal number to Decimal Number): -
If a hexadecimal number is to be converted to decimal number, then the hexadecimal numbers on the right of power at 16 (0, 1, 2, 3, 4, 5, 6, ............. n ) Is added by dividing the hexadecimal number corresponding to the power and the number obtained by adding is called the decimal number.
Example for Convert Hexadecimal in Decimal Number-
Rule-9
Convert Binary in Hexadecimal Number (Change the Binary Number to Hexadecimal Number): -
If a binary number is to get hexadecimal, then binary numbers add a binary number of 4-4 on the right side, if there is a lack of binary number while adding the pair, then Extra 0 on the left side, and by creating this pair, Let's get the decimal of pairs, then the group of these decimal numbers is written in the hexadecimal number.
Example for Convert Binary in hexadecimal Number-
Rule-10
Convert Hexadecimal Number in Binary Number (Change the hexadecimal number to binary number): -
To convert a hexadecimal number to a binary number, by taking every number of hexadecimal number as its decimal number, and obtaining its binary, and if this pair of 4-4 is being created then this is fine, otherwise by adding 0 to the left 4- 4 make a pair and collect the pair and write them down.
Example for Convert Hexadecimal Number in Binary Number-
Convert Binary in Octal Number (Change the Binary Number to Octal Number): -
If a binary number is to get the octal, then binary numbers form a pair of binary number 3-3 on the right side, if there is a lack of binary numbers while adding the pair, then Extra 0 on the left side, and add this couple by adding this Let's say that the decimal of the same decimal number is written in the Octal Number.
Example for Convert Binary in Octal-
Rule-7
Convert Decimal Number in Hexadecimal Number (Change Decimal Number to Hexadecimal Number): -
To convert a Decimal Number system into Hexadecimal number, the decimal number is divided into 16 and the remainder and the last quotient is written in the order from above to below.
Note- The hexadecimal number ranges from 0 to 15 and the hexadecimal number is larger than the decimal number.
Example for Convert Decimal Number in Hexadecimal Number-
Rule-8
Covert Hexadecimal Number in Decimal Number (Change the hexadecimal number to Decimal Number): -
If a hexadecimal number is to be converted to decimal number, then the hexadecimal numbers on the right of power at 16 (0, 1, 2, 3, 4, 5, 6, ............. n ) Is added by dividing the hexadecimal number corresponding to the power and the number obtained by adding is called the decimal number.
Example for Convert Hexadecimal in Decimal Number-
Rule-9
Convert Binary in Hexadecimal Number (Change the Binary Number to Hexadecimal Number): -
If a binary number is to get hexadecimal, then binary numbers add a binary number of 4-4 on the right side, if there is a lack of binary number while adding the pair, then Extra 0 on the left side, and by creating this pair, Let's get the decimal of pairs, then the group of these decimal numbers is written in the hexadecimal number.
Example for Convert Binary in hexadecimal Number-
Rule-10
Convert Hexadecimal Number in Binary Number (Change the hexadecimal number to binary number): -
To convert a hexadecimal number to a binary number, by taking every number of hexadecimal number as its decimal number, and obtaining its binary, and if this pair of 4-4 is being created then this is fine, otherwise by adding 0 to the left 4- 4 make a pair and collect the pair and write them down.
Example for Convert Hexadecimal Number in Binary Number-
