3. Introduction to Number Systems

Technical Education

7/22/2024

Transcript

00:00So in the previous video we have learned how computer works there I have told you that

00:06computer works on binary number system that is zeros and ones or on and off but we understand

00:12decimal number system and also I told you that the codes that is numbers can be used

00:17as codes for giving an instruction or data or message.

00:23See I am just going to give the introduction to the number system but there is a topic

00:27the details are there conversion from boctel to binary and so many conversions are there

00:32if you want to learn that that is mostly required in academics if you want to learn that there

00:37is a section called miscellaneous you have to go to that section and study in detail

00:42about the conversion so the videos are available there.

00:45Here in this video just I don't want to waste your time I don't want to go in detail right

00:49now so just I will give you introduction to number system so let us look at.

00:53See basically we use decimal number system in decimal number system the pictures or figures

00:59or symbols are from 0 to 9 total 10 symbols we have 10 symbols then computer works on

01:07zeros and ones so how many symbols only two symbols so binary number system have only

01:12two symbols 0 and 1 that's all.

01:16See one thing I will tell you once we have finished with the last symbol after 9 we use

01:22the combination of symbols we write 10 after that we write 10, 10 means 0 and 1 we are

01:28combining 1 0 so this place is 1 the next place again will start from 0 1 2 3 so we

01:36have finished with the symbol so that's why we are taking combination of symbol so same

01:40way we have only 0 and 1 then what is the next number it is 1 0 we have to take the

01:47combination so don't read it as 10 or read it as 1 0 in binary form that's it so I have

01:55some numbers here just look at them 0 in binary form is 0 1 is 1 2 is 1 0 3 is 1 1 4 is 1

02:020 0 5 is 1 0 1 so on up to 16 I have written now if you want to be strong in the concepts

02:10of programming you want to study it in detail very minor things you should know these numbers

02:16so some of them you should remember some of them you should be quickly able to convert

02:20them so that I have explained in miscellaneous videos there you can learn it next what is

02:26this octal and hexa see remembering a number in 0 0 1 1 1 it's too tough it's too tough

02:33we need a simple method so what people have done to make this simple octal is introduced

02:40so you can take three digits of a binary number and convert into octal then even this is also

02:47less so they have introduced hexadecimal hexa means 6 plus 10 hexadecimal total 16 so 0

02:56to 9 then after that for 10 English alphabet A is used then B C D E F last so there are

03:04total 16 digits in this one figures in this one symbols on this one then after that we

03:10take combination 1 0 so how to convert this into this one or this to octal binary to hexa

03:18everything is there you can study it but in this video I'll just show you conversion from

03:24decimal to binary then binary back to decimal just to give you the idea so let us take an

03:29example I have a number decimal number base 10 means it is decimal number so this is base

03:3410 this is base 8 this is base 2 and this is base 16 so we write 10 here because 25 can be

03:41there in octal also hexa also which one it is now to show that we will say decimal as 10 that how

03:49to convert into binary so the method is we'd find out successively we divide it by 2 to get the

03:56binary form 2 1's 2 2 2's so 2 12's 24 remainder is 1 2 6 12 remainder is 0 and 2 3's 6 remainder

04:07is 0 2 1's 2 remainder is 1 so we take remainder here we don't write decimal 2 0 times is 0

04:17remainder is 1 so take the digits from bottom towards up so the digits are 1 1 0 0 1 1 1 0 0

04:261 this is the binary form so this is how decimal number is converted into binary then binary back

04:34to decimal let us see the procedure if I take the same number and convert into binary decimal form

04:41so take the number in the boxes 1 2 3 4 5 so I need 5 boxes then write this number 1 1 0 0 1

04:52then at this bottom right powers of 2 from right side 2 power 0 2 power 1 2 power 2 2 power 3 2

05:01power 4 now 1 into 2 power 4 plus 1 into 2 power 3 plus 0 into 2 power 2 plus 0 into 2 power 1 plus

05:131 into 2 power 0 this is how much 16 plus this is how much 8 plus this is how much 0 multiplied by

05:22anything is 0 only 0 multiplied by anything is 0 this is 1 so how much this is 24 plus 1 so this

05:29is 25 so we got this in 25 that is number system decimal number system so this is how the conversion

05:36is done so that's it this is sufficient I have shown you decimal number in binary and binary

05:42back to decimal so like this procedures are used for converting them using pen and paper now

05:49electronic circuitry internally handle these things right for humans we follow this conversion

05:55methods to understand how it is represented in binary form so number knowing about the number

06:00system will definitely help you right give you detailed understanding but associated with some

06:07other subjects are also there so in other subjects it will be very helpful right that's all about

06:12number system see the coming videos are based on the concept only right so you have to be calm

06:18and follow each and every video if you are a beginner all right so don't skip any video

06:24right I am not going to directly start showing you how to write on the program and all

06:28first you should have some basics if you are learning programming for the first time

06:32study all these watch all this video and you will be prepared for understanding programming

06:38all right so watch the next video

3. Introduction to Number Systems

Category

Transcript

Recommended