Welcome back to the course on C++.
So today we will learn about no system.
No system.
So if you remember, we have already discussed in brief about numbers this system in our first lesson,
but don't worry, we will start from scratch.
OK, so I told you, no system can be categorized into two types weighted.
And unweighted.
Okay, so let us first talk about Richard and my system.
So in Virginia, my system each digit.
Has been assigned.
Some veidt.
On bases.
Off deposition.
Since we're tied, assigned on bases of position, so we can also say that it is a body tional.
We waited.
No system.
Because Viertel assigned on bases of position decimal system is an example of victim number system.
OK, so 235, let us take an example to 35.
So here digital has a vote of 10 to the power to digitally has a vote of ten to the Pavon and digit
five has a very tough 10 to the power.
Zero.
So each digit has been assigned some weights on basis of their position.
And since the votes are assigned on basis of position.
So it is also calls for additional weighted numbers system.
OK, so let's talk about and Virginia, my system.
Swain and rigid animal system, all digits.
Have seen vid.
In my system is an example of unretired, no system.
For example, one, one, one, and telling them the system did business team.
All digits have same weight.
That is when.
So and we're in a mess system means all the dudes will have theme it.
There is no system is an example of one.
We didn't have a system because all the dudes are having same that this one.
Our Topham visited and unweighted in my system, vigilant.
My system is more important.
And in my system is not important.
And we will never use and we did them my system, because on Viginia, my system is very inefficient
and time consuming.
OK.
For example, if you want to write 235 in unweighted, no more system, that is an Bailamos system.
So how will you write 235 entire Lembo system?
You will write when.
When.
How many times?
You will write 235 times.
When.
And that will correspond to 235 in decimal.
So unwaged know my system is very inefficient and time consuming.
That's why we will never use it.
So we will study only we did it on my system.
So I engaged in my system.
We will study four types of within in my system.
First is decimal.
Second is binary.
Third is octal.
And is hexadecimal.
OK, so I invaded my system.
These food are the most famous, rigid, no system, and hence we will study only these food.
So let's start.
So first time having decimal in my system.
So decimal system is most commonly used name system, and we use it in our day to day life base or against
it, our mix of our decimal number system is 10 and that digits are.
Zero.
One, two, three.
Six, seven, eight and nine.
So I'm having total 10 digits, or you can see Buzard radix of our decimal number system is 10.
OK, so let's take an example.
Let's say my number is three, two, five, eight and nine.
So this is a decimal number.
OK.
So what is the rate of digit nine?
So the rate of digit nine is ten to the power.
Zero.
We're double digit.
Distant to the part when we double digit.
Five is ten to the power to weight off.
What did you do is to the power.
Three.
We are double digit for eastern with about four and so on.
Ten to the power.
Five 10 to the power.
Sixteen to the power of seven.
And it will keep going on.
Okay.
So invest malama system.
My base or against it exist in and I am having to beloff 10 digits starting from zero till nine.
And this is an example of four decimal number system.
So this ten represent that.
This is a decimal number.
Okay, so 10 represent that.
This is a decimal number.
OK, so let's talk about bindery number system.
By naming them my system.
So, Bundeena, my system is important.
Why?
Because computer understand only binary, and that is zero.
And when and data in computer memory is stored in binary.
OK, so base order can say it.
Relics of our by need.
My system is doomed because I'm having only two digits to zero and one.
Zero and one.
Let's take an example, let's say when one zero zero one zero one supports.
This is a binary number based two.
So B is two means.
This is a binary number.
OK, so one has a very tough door to the bar as zero.
This has a weight off to the Bodmin.
This digit has a very tough to square.
This dude has a very tough crowd of about three.
This has a very tough to depart for.
This has a weight of two to the power five.
And this has a weight of two to the parsecs.
And it will keep going on.
Okay.
So one, two, four, eight, sixteen, 32, 64 and so on.
So these are words.
OK.
Him as this loser are.
Now, let's talk about, OK, Bellambi system.
Base or you can see the right mix of the lumber system, is it?
And the digits are.
Zero.
One, two, three, five, six and seven.
So I'm having total eight digits.
That's very bizarre relics of our Columbus system, is it?
Let us take an example.
Suppose three.
Five.
One.
Two.
So this is an optimal number.
Why?
Because I have written it here.
So this is represent that.
This is that of the lumber.
Very tough as you do is.
It was about zero.
We're double digit.
One is eight to the bar, one very tough digit.
Five is it to the power to their double digit.
Three, is it to about three and so on.
OK.
It is about forwarded to the power of five.
It is about a six and so on.
Now, let's talk about hexadecimal and my system.
Hexadecimal, no system.
So in our computer's memory, addresses are stored in hexadecimal numbers.
OK?
In our computer's memory and this is stored in hexadecimal numbers.
OK.
So base or against the right mix of our hexadecimal number is.
Sixteen.
And their budget said.
Zero.
One, two, three, seven, eight, nine.
And then I'm having A, B, C, D, E and F.
So it means Den and be present.
Fifteen.
And here I am having 11 to 14.
And 13.
Okay, so these are total 16 digits.
And I can see base or Reddick's of I hexadecimal.
My system is 16.
Let us take an example.
When the three F to.
Base 16.
So this 16 represent that this is a hexadecimal number.
We are double digit two is sixteen to the power about zero Veda offered digit F is 16 to the bar, one
very tough digit.
Three is sixteen to the power to their double digit.
There is sixteen to the power 23.
And similarly, we're double digit.
One is 16, but about four.
Now you may be thinking what is D and F?
So there is basically 13.
And efforts fifteen.
So if we want to perform any calculation on hexadecimal numbers, I will consider these as Tartine.
And I will consider efforts.
Fifteen.
OK.
But if we want to represent 13 in hexadecimal number, I will write these.
I will not write 13.
I will read these.
OK.
So these are four most popular waited in my system.
It takes off for days and the limbic system is Ben.
Takes off by noon, and my system is too laidig, so -- love, my system is eight and radix off
hexadecimal and my system is 16.
I can also have many more rigid in my system, for example, base.
Three rigid no system BS.
We did the most system base, seven rigid, no system base, eleven rigid number system and minimal.
And these four items most popular and we will only started this.
OK.
And in these four, we're doing them a system bindery and asimilar most important.
OK.
So in the next class, we will learn about convergence.
So next class will be on convergence.
So what is the meaning of confusion?
Confusion means how will you convert a binary number to a decimal number?
Or vice versa.
Similarly, how we look on word are decimal number two in octa lumber or vice versa.
Okay, so in next class we will learn about convergence.
So I hope you enjoyed today's return.
I will soon.
The next one.