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Types of Number System

Different Number Systems – There are some different Number System with correspondence base. Which will describe as follows-

 Number System Base Representation
 Binary Number System     2 (Number)2
 Decimal Number System     10 (Number)10
 Octal Number System     8 (Number)8
 Hexadecimal Number System    16  (Number)16


Note : Any number can be in decimal form. So there is an another way to solve them quickly. Let’s understand with an example.

Ex 1. (4064.10)10 

Sol. This Number can also be written as

(4*103) + (0*102) + (6*101) + (4*100) + (1*10-1) + (0*10-2)

Note that after decimal digits we will use decreasing power of 10 from left to right.

Ex 2. (1101.01)2     

Sol. This Number can also be written as

(1*23) + (1*22) + (0*21) + (1*20) + (0*2-1) + (0*2-2)

Exercise:

From Question 1 to 5, expand with theirs correspondence base.

1.   (6529.89)10

2.  (1164.54)8

3.   (10011.01)2

4.  (4301.44)5

5.  (11111.01)8

1.

You can write your answer in comment section, we will reply as soon as possible.

In our next article we will discuss conversion of One Number System from  another Number System.


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