 Hello friends, I'm Sanjay Gupta. I welcome you on my YouTube channel. This channel contains various videos regarding programming languages. It contains more than 800 videos. You can search these videos through the keyword programming by Sanjay Gupta. If you have any query, then you can connect with me by following my email ID and my WhatsApp number. In this video, I'm going to discuss about number systems. So number system is a very fundamental topic related to computer that every computer engineer must know. So first I'm discussing about the introduction of number system. So a number system defines a set of values used to represent quantity. So in each number system, there will be some set of values that will be used to represent a particular quantity. Second point says a number system is a numerical notation of representing numbers of a given set of symbols in a consistent manner. So in each number system, there will be a numerical notation of representing numbers. And those numbers will be represented with the help of some symbols and those symbols will be available in a consistent manner. So third point says a number system gives every number a unique representation. So in each number system, a particular number provides a unique representation. So by combining those numbers or symbols, we can create a particular number for a particular number system. So this is a brief introduction about number system. Now I'm going to discuss about the commonly used number system in computers. So you can see four types of number systems are listed here. First is binary number system. So binary number system is related to computer directly because computer uses binary language that is represented with the help of zero and one. So binary number system is directly related to computers. So computer or you can say computer uses this number system. Second one is octal number system. Third one is decimal number system. And fourth one is hexadecimal number system. So these four number systems are used commonly. Now I'm going to discuss two things about each type of number system. So first thing will be base and second thing will be digits. So each number system contains a particular base so that we can process values of that number through that base. And each number system contains various digits through, sorry, through those digits. Or you can say by combining those digits, we can create a particular number with the help of that number system. So as you can see, binary number system is having two digits, zero and one. And the number of digits which are available in a number system, if we add or if we sum those number of digits, or you can say if we count those digits, then the counting of those digits will be equals to the base of that number system. So binary number system is using zero and one as the digits and count of these digits is equals to two. So that's why binary number system is having base as two. So whenever you want to process binary number system, you have to use this base. Suppose you want to convert binary number into octal or decimal, then this base will be important there. So you must know about how many digits are available in a particular number system or what is the base of that particular number system. So this is about binary number system. Similar to binary, we have octal number system. So here you can see the digits are zero, one, two, three, four, five, six and seven. So if we count these digits, the count is equals to eight. So counting is eight. That's why base of this number system is equals to eight. So octal number system is having digits from zero to seven. Counting is equals to eight. That's why base of this number system is eight. Next number system is decimal, which is the commonly used number system for mathematical calculation. So the mathematical notations which we study in schools and colleges, in those calculations or in those studies, we use this decimal number system. And we all know that digits are from zero to nine. So if we count these number of digits, count will be equals to 10. And similarly, the base of decimal number system will be 10 because here we are using 10 number of digits. Fourth number system is hexadecimal. So here you can see digits are available from zero to nine. And here we have to use 10, 11 and so on. So to represent 10, we are using A to represent 11. We are using B and so on. So A is 10, B is 11, C is 12, B is 13, E is 14 and F is 15. So if we count all these digits, count will be equals to 16. That's why hexadecimal number system is having this as 16. So you can use all these 16 digits to frame a number in case of hexadecimal number system. So friends, if you want to create a particular number by following a particular number system, then you have to club all the digits which are available in a particular number system so that you can easily frame a number. You don't have to use all the digits because you will be framing a particular number. So suppose if you want to write 123, so you can use 123. If you want to write 456, you can use 456. If you want to write nine ABC, you can use all, you can use these three digits only. So as per the requirement, you can pick up the digits for a particular number system and don't forget to write down the base of that number system by converting a particular number system into another. So this is all about the basics of number system. We have four basic or commonly used number systems, binary, octal, decimal and hexadecimal. Each number system having two properties. First one is base and second one is digits. If we count number of digits, then we can easily identify the base of that particular number system. So this is all about introduction of number system. I hope you have learned about types of number system and then their properties. If you have any queries, you can connect with me by following these details. Thank you.