Number Systems And Its different Types - Education4CS
Topic to be covered in this tutorial
- The basic definition of the number system
- Types of the number system
- Decimal number system
- Binary number system
- Octal number system
- Hexadecimal number system
What is a number system?
- A system of numbers is a writing system for the expression of numbers; it is a mathematical notation for representing the number system of a given of different sets, and using digits and other symbols in a consistent manner.
- A process in which type some words or letters, the computer translates the data into numbers or represents the data in the form of numbers (0 and 1) this process is known as the number system.
Types of number systems are as follows:
a)Decimal number system
- Now the Decimal number system is commonly used in the number system.
- Commonly used in day-to-day life that is
- Radix/Base:10
- Symboles:{0,1,2,3,4,5,6,7,8,9}
Example:
- We in our day-to-day normal life use the decimal number system. ie we use 2 numbers 0-9.
- Now the number of distinct symbols used in a number system is known as in Radix/Base. So in the decimal number system, the base would be 10 distinct symbols from {1-9}.
b)Binary number system
- As the name suggests Binary number system base of 2 is only 2 symbols only 1 and 2 like Symbols:{1,2}
- Now the number system is major used in computer and digital systems understand binary number systems are cal Binary number systems.
- As the name suggests the base and radix of this number system is 8 like Base/Radix:8
- This number system is again widely used in computing systems like Symoles:{0,1,2,3,4,5,6,7,}
d)Hexadecimal number system
- Now this number system has a radix/base of 16 that is Radix/Base:16 like Symbols {1,2,3,4,5,6,7,8,9,A,B,C,D,F}
- Now this number system is widely used in a computing systems & memory representations
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