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NUMBER SYSTEM

 NUMBER SYSTEM 

When we type some letters or words, the computer translates them in numbers as computers can understand only numbers. A computer can understand the positional number system where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.

The value of each digit in a number can be determined using −

  • The digit

  • The position of the digit in the number

  • The base of the number system (where the base is defined as the total number of digits available in the number system)


DIFFERENT TYPE OF NUMBER SYSTEM;


The classification of numbers systems on the basis of base can be understood from the below diagram.

Number System

Number systemBaseUsed digits
Binary20,1
Octal80,1,2,3,4,5,6,7
Decimal100,1,2,3,4,5,6,7,8,9
Hexadecimal160,1,2,3,4,5,6,7,8,9, A,B,C,D,E,F     

    

1.BINARY NUMBER SYSTEM;

                 The modern computers do not process the decimal numbers.

       . They only work with a binary number system.

       . It uses only two digits 0 and 2. 

       . The base of binary number system is 2  because it has only two digits.  

       . The digital electronics equipment's are works on the binary number system.


EXAMPLE;

Decimal and Binary Number | Notes, Videos, QA and Tests | Grade 10>Computer Science>Computer Number System | Kullabs


2.DECIMAL NUMBER SYSTEM;

         .The number system is having digit 0,1,2,3,4,5,6,7,8,9.

         . Total ten digits are involved. So that base of the decimal number system is 10.


EXAMPLE;1 Machine Architecture and Number Systems Topics Major Computer Components Bits, Bytes, and Words The Decimal Number System The Binary Number System Converting. - ppt download
3.OCTAL NUMBER SYSTEM;

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

          . Also called '' base 8 number system''

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


EXAMPLE; 

What is Octal Number System? - Definition, Octal to Decimal & Decimal to Octal Conversion - Circuit Globe

  

4.HEXADECIMAL NUMBER SYSTEM;

           .These4 numbers are used extensively in microprocessor.

              .The hexadecimal number system has a base of 16.

               .It consists of the following sixteen numbers of digits ( 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F )

               .Letters represents number starting from

                                        A=10
                                        B=11
                                        C=12
                                        D=13
                                        E=14
                                        F=15
                                        G=16

EXAMPLE;

 What are binary and hexadecimal number systems? | Wirebiters 




A link that describes the above;

                https://youtu.be/32Kwy3GWQWc

  

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