Number systems are mathematical expressions of numbers in various ways that computers can comprehend. A number is a mathematical value that may be used for arithmetic computations, item measurement, and counting. There are many different classifications of numbers, including whole numbers, and rational and irrational numbers, among others. The binary, octal, decimal and hexadecimal number systems are only a few examples of the multiple types of number systems that exist and have diverse characteristics.

A system for representing numbers is called a number system. It also establishes a set of values to represent a quantity and is referred to as the system of numeration. The most often used digits among them are the binary numbers 0 and 1, which are used to represent them. Other sorts of number systems are represented by the digits 0 to 9. The consistent representation of numbers using digits or other symbols is known as a number system. Any digit in a number can have its value defined by that digit, its place in the number, and the number system's base. Because of the distinctive way the numbers are represented, we can perform mathematical operations like addition, subtraction, and division.

In this “Number System - Digital Logic System” you will learn about the following topics:

1. Introduction to number systems (Decimal, Binary, Octal, and Hexadecimal)
2. Conversions
3. Complements subtraction using 1’s complement
4. 2’s complement
5. 9’s complement
6. 10’s complement
7. Application of the complements (1’s and 2’s) BCD code
8. Error detection codes
9. Alphanumeric codes
10. Excess - 3 code
11. Gray code

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The article Number System - Digital Logic System is contributed by Aakrity Chapagai, a student of LA GRANDEE International College.

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