What is Number System & Binary Decimal Octal Number conversion?

What is Number and Number System?

Binary Decimal and octal Number conversion are so much important to all of the science students in all over the world.Now a days Binary Number ,Decimal Number and  Octal Number conversions are become essential part of computer programming and also in the case of mathematical calculation.So everyone should the about number system and their conversion among them.Dear reader,Today will discuss  about what is Number,What is Number system and How to convert Decimal number to Binary Number ,Binary to decimal and also  we will know how to convert  decimal number to octal number below.

What is Number ?

Number is a concept of quantity that can be derived from a single unit, the sum of a collection of
units. Every number occupies a unique position in a sequence, enabling it to be used in counting.

what is Number System ?

There are mainly 4 types of Number System:-

1) Decimal Number System.
2) Binary Number System.
3) Octal Number System.
4) Hexadecimal Number System.
Units of Number System:
#Decimal: 0 1 2 3 4 5 6 7 8 9;
#Binary: 0 1
#octal: 0 1 2 3 4 5 6 7
#Hexadecimal: 0 1 2 3 4 5 6 7 8 9 A B C D E F

Three kinds of Conversion of Number Systems:

1.Decimal Number to Binary Number Conversion

    Decimal   Number         –>  TO –>          Binary Number
10³    10²   10¹                            2⁸      2⁷    2⁶     2⁵      2⁴   2³     2¹     2⁰
­­­                             1                                         1      1      1       1     0      0      1
20

       100                                      
(+)                121
#1111001=2⁶*1+2⁵*1+2⁴*1+2³*1+2²*0+2¹*0+2⁰*1
=121
(121)₁₀ = (1111001)₂

2.Decimal Number to Octal Number Conversion

Decimal Number           –>    TO  —>        Octal Number
8³              8²         8¹           8⁰                                                  (254)₈=8²*2+8¹*5+8⁰*4
2            5       4 = (172)₁₀                                            =(172)
1              7         1= (121)₁₀                               (172)₁₀ = (254)₈

3.Decimal Number to Octal Number Conversion

Decimal  Number     -–> TO—>          Hexadecimal Number
16²     16¹    16⁰                               (21C)₁₆=16²*2+16¹*1+16⁰*12(C)
2          1      12(C) = (540)₁₀                     = (540)₁₀
(540)₁₀= (21C)₁₆
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