by | Nov 28, 2020 | Digital Electronics | 0 comments
In the real world, when any person says that “he has 8 rupees.”, we understand the statement easily, but digital systems don’t understand it. Digital systems understand the information in the form of a binary number system. In the digital systems, number 8 depicted the decimal number system form. In the digital world, many number systems are present. In this article, we will learn more about the different number systems used in the digital systems to perform various tasks or applications.
Where, N=Number; b=Base or radix
The number system is classified into two types, which are given below-
2. Unweighted Number System
The characteristics of the most extensively used number system are:-
From the above table, we can observe that a number having base ‘b’ contains different digits ranging from ‘0’ to ‘b-1’.
In Digital Number System, there are two types of significant bits:
As mentioned in above section, weighted number systems are of following four types:
Let’s discuss each of above number systems.
In binary number system, the numerical value of base ‘b’ is 2. In this system, a number can be depicted using different digits among 0, 1. They are also known as “bits.”
In the octal number system, the numerical value of base ‘b’ is 8. A number can be depicted using different digits among 0, 1, 2, 3, 4, 5, 6, and 7. It is very useful for reducing the complexity of numbers represented in the binary system by grouping them into groups of three.
In the decimal number system, the numerical value of base ‘b’ is 10. A number can be depicted in this system using different digits among 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
In the hexadecimal number system, the numerical value of base ‘b’ is 16. In this system, a number can be depicted using different digits and alphabets among 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. Also known as “Alphanumeric number system.” Most widely used in microprocessors.
In digital systems, the decimal number representing in different number systems from 0 to 15 is given below.
Note: Please memorize this table from 0 to 15 because it is used very frequently while doing base conversions and performing calculations.
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