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.

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

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