Binary got you baffled? Let’s break it down! In this fun crash course, I’ll show you how to convert binary to decimal step-by-step—super easy, no stress. We’ll go from 765,432 in decimal to 10101111 in binary (that’s 335, btw), with tricks to eyeball it fast. Perfect for beginners or anyone who loves a good tech challenge. Hit subscribe—I wake up in a cold sweat when you do, and it means the world! More vids coming your way!

Introduction to Binary and Decimal 00:00:00
Understanding Decimal System 00:00:44
Decimal Position Strengths 00:01:39
Decimal Formula Explanation 00:03:48
Transition to Binary System 00:06:31
Binary Position Strengths 00:07:19
Binary Formula Breakdown 00:10:46
Calculating Binary Example (335) 00:12:55
Quick Binary Conversion Trick 00:15:24
Memorizing Binary Positions 00:13:52
Small Binary Example (19) 00:15:43
Closing and Subscription Request 00:16:48

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Hello there. Let’s talk about converting binary to decimal.

Just a quick recap for those of you who don’t know. Watch my other videos if you’re not sure

about number bases, but basically, you know, decimal is a number system that has 10 characters

to represent a number. So 0, 1, 2, 4, 5, 6, 7, 8, 9. That’s 10 characters in decimal.

In binary, we just have two characters.

So it’s base two, whereas decimal is base 10.

How can we convert between the two?

Well, first, before we can try to convert between the two,

we should try to understand what’s really going on with normal decimal representations.

So if I have a decimal number here, and I say, I don’t know,

let’s just type a couple of random numbers.

How do we really know what this value is?

How do we kind of understand what is the meaning?

Okay, so you know that, you know,

if you just kind of look at this for a second,

you’ll realize this is 765,000, right?

765,432.

How do we know that this is 700,000?

Because it’s in a certain position.

It’s like, you know, several digits to the left.

How do we know that the next one represents 65,000?

Well, it’s one less to the left.

uh it’s a tenth of the like power of the seven digit same thing for the five how do we know

that’s a thousand same thing for the four and the three and the two what we really do is we end up

deciding okay you know what the uh the first digit here on the right side that two uh the strength of

of one. So like, you know, two times one is just two. So whatever, whatever that digit is, if it

was a five, it would just be a five, five times one is five, right? So the strength of the very

first digit on the right side is just one. Every time we move one digit to the left, we multiply

the strength by 10. The reason we multiply the strength by 10 is because there are 10 possible

digits, or 10 possible characters that we can use in decimal. Makes sense, right? So that means the

Makes sense, right?

So that means the three, we know that represents, you know, an addition of 30 because that’s

the 10th strength place.

Same thing for the four.

We multiply 10 by 10 again to get 100 in that position.

So this one has a strength of 100.

I’m writing this vertically.

Hopefully this is not too messy, but I’m hoping you’ll understand.

Well, I don’t know.

Maybe if I space this out, does that make it better or worse?

maybe it makes it slightly better i don’t know i’m going to roll with it

what can i say i’m a rebel okay so i live dangerously the five we know that’s worth

five thousand because again the four position over here you know that third digit it had a

strength of 100 so we multiply that strength by 10 going to the left to to end up with a thousand

to end up with a thousand.

So same thing with the six.

I’m not going to explain that any further.

You know, it’s got a strength of, you know, 10,000.

Okay.

And then the seven, it’s got a strength of 100,000.

And it just keeps going and going and going to millions and billions and trillions

and however far you actually want to go.

That’s how we understand the decimal numbers

that we’re looking at.

How could you imagine this in terms of a formula?

Well, we’re really raising something to the 10th power.

If you think about this, the one,

we could imagine that the value one

is actually 10 to the zero power

because anything raised to the zero power is just a one.

Let me pull up this calculator real fast.

I got to stick that on my desktop in the future.

If we say 10 to the zero power, it’s just one.

Any number to the zero power is just one.

Okay, so then we would multiply that strength

by the actual digit that we see,

the character that we see.

It’s a two.

Okay, so that’s going to be two times 10 to the zero power.

I’m going to put that in parentheses

to keep it a little bit clean or somewhat cleaner.

So now when we go one to the left

to look at that three digit,

to look at that three digit, we end up with three times something.

Let me get a space here for my brain.

Times 10 to the something power.

Well, every time we go to the left, we just really have to increase the power by one.

It’s 10 to the first power because we’re looking for actually just the number 10.

So if we say 10 to the first power on that calculator, it’s 10.

So then, you know, just keep repeating the process.

10 to the second power. And that should be 100. So if I say 10 to the second power, it’s 100.

All right. And, you know, we’re adding all the positions together, even though we’re multiplying

the digit by its strength. So I’m going to say five times 10 to the third power. And then again,

just to double check here, 10 to the third power is 1000. So you can see the five was supposed to

and then again we’ll say six times ten to the fourth power and then just double check here

the fourth power should be a thousand sorry ten thousand and then we’ll do it one last time we’ll

say seven times ten to the fifth power which should be a hundred thousand all right so now

that we’ve written this all out you know this is kind of madness right what you can do now

do now is you can put this into the calculator and it should give you the exact same number that

we started with. We should see 765432, unless there’s a typo. 765432. Nice. Okay, that might

have seemed like it was a little bit of a waste of time, but it’s not because now we kind of

understand the breakdown of the different positions of the digits in decimal, which means

now we can do the same thing in binary, basically the exact same thing, except just use a power of,

use a two to some power rather than a 10 to some power because the only reason we use 10 down here

it says we were in decimal that has a base of 10 now let’s go into binary

which is um a base of two so i’m going to just i guess maybe what did i do wrong

i hit something and it like did a space i don’t even want to know i don’t even want to know

okay so let’s do a binary number i’m just going to type a few random digits

a few random digits. I don’t know what number this is yet, but let’s work it out slowly

in the same way. You know what, maybe instead of doing the formula first and only, let’s do

both parts like we did with decimal. So what’s the position, what’s the strength of the position

for that first character? Well, I said before the first character is always just going to be,

sorry, the first digit is always just going to be a one, right? That’s going to be true

So I’m going to say this has a strength of 1.

How do we know it’s a strength of 1?

Because we’ll take 2 to the something power.

We start at 0 for that first position, and it’s going to give us a 1.

Okay.

So the strength of this one, I already know binary.

So I just know off the top of my head that to go to the left,

the strength just multiplies by 2.

And that’s pretty easy after you start memorizing it.

I haven’t quite memorized hexadecimal yet, but maybe you will in another video.

So I’m going to multiply one by two and I’m going to end up with two.

Double check over here in the calculator.

Two to the first power is two.

So then the strength of this next digit should be four.

Two times two is four, right?

So let’s do two to the second power.

That’s four.

Multiply by two again.

It’s going to be eight.

Double check over here.

Two to the third power is eight.

The next digit is going to be 16 of its strength.

So I’m going to write this vertically again.

So it’s going to be 16.

Double check over here with the calculator.

Double check over here with the calculator, 2 to the 4th power is 16.

Next digit is going to be 32.

Double check with the calculator, 2 to the 5th power.

And things are starting to get messy, so I think I’m going to like space everything out probably.

Just to make it easier to read.

Tell me if you think this makes it actually easier to read or if I’m making it way harder.

I think I’m making it easier.

Okay, so we got 32.

two. Next one up is going to be 64. Just multiply it by two. Double check two to the sixth power.

That’s going to be 64. And then the biggest one that we’ve written down is going to be 128.

Double check it. Six to the seventh power is 128. We could go on and on and on, but I’m just going

to leave it here because we, I hope we have a pretty good idea of, you know, what this means.

delineation or like a delimiter showing us that these are just representing the strengths and

this is the actual number. Okay, so how can we write this out in a formula?

Whoa, what did I do wrong? Did you see that? Oh no. Hang on a second.

I think I missed it. How many digits are there? If there are eight digits, then I definitely forgot

something. No, no. Okay. There are nine digits, so the last one should be 256. Okay.

256. Okay. So I got it all lined up. At some point I must have not lined it up. My apologies,

but hey, maybe I’m making these mistakes on purpose to make sure that you’re paying attention.

You never know. I want you to think. So 256 is going to be the next number. Double check it with

the calculator. Two to the eighth power, 256. Cool. By the way, a quick trick in binary that

the actual highest number that you can represent in an unsigned binary integer is basically the

strength of the highest digit, you know, this 256 here, multiplied by two and then subtract one

from it. So 256 multiplied by two is going to be 512. So it’s going to be 511. So I could

represent a number between zero and 511 or 512 possible combinations. Okay, so now let’s work

let’s work out the formula.

See 16, 30, 16, 40, okay, I did it okay.

I probably should have rehearsed this.

So let’s do each position.

So it’s either always gonna be one times something

or zero times something, right?

Because binary, these characters can only be one or a zero.

So let’s do on the, starting from the right,

we’ll say one times two to the something power.

It’s gonna be two to the zero power

You know, just going to be a one.

Working our way over to the left, it’s going to be one times two to the something power

to the first power because it just increases every time the power increases.

We have four ones in a row here.

I got to try to remember that.

This is where I’m going to start making lots and lots of typos.

Two to the second power.

And then we have another one.

One, two, three, four, one times two to the third power.

And then again, we are going to hit a zero.

So it’s going to be zero times two to the something power.

You might be tempted to omit the zeros.

You can if you want to.

But for me personally, it helps me quickly visually see that I’m getting the powers in

the right order.

I can see two to the zero power, first power, second power, third power, fourth power.

Sometimes when I omit the zeros, I end up kind of like messing up the order of the powers

and or the order of the exponents.

of the exponents and I have to redo everything all over again.

So I just keep it this way.

Okay, so it’s one, one, one, one, one, one, one, one, zero.

So there’s another zero that we need

times two to the fifth power.

So we got both of those zeros now.

And then we need another one times two to the sixth power.

And then we need

0 times 2 to the 7th power.

Okay.

And then we have another 1 times 2 to the 8th power.

And I know we’re supposed to be done on 8

because that’s what we were doing before.

The 256 strength.

So unless I made some mistakes here,

this is probably the number that we can punch up into the calculator

to see what this binary number is.

So I’m going to punch it up.

Huge.

It says that it’s the number 335.

Let’s see if that’s actually right.

I’m going to punch this up in my personal calculator real fast.

I’m going to say 10101111.

And the expression is decimal 335.

Yep.

So that’s it.

We know how to convert from binary to decimal.

And just again, like as a quick shorthand,

it’s probably a good idea if you’re involved in computer science,

to memorize these positions up to maybe

6, 5, 5, 3, 6.

That might sound a little extreme sometimes,

but I don’t know.

Personally, I’m not like the most advanced

binary reader at all times,

but I can remember up to that much.

And what do I mean when I’m saying that?

I’m saying, you know, start with a 1, 2, 4, 8,

8, 2, 56, 5, 12, 1, 2, 4, 2, 0, 4, 8, 4, 0, 9, 6, 8, 1, 9, 2, 1, 6, 3, 8, 4.

Took me a while to remember that one.

3, 2, 7, 6, 8, 6, 5, 5, 3, 6.

So if you think about it, how many bits is this?

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

Right here, 16.

That’ll give you two bytes worth of memorization or a word on many systems.

on many systems. For me personally, I just, I like to go up to 6, 5, 5, 3, 5 because

remember I was saying, you know, what is the highest number that you can go up to

with a certain number of bits? It’s always the power or the strength of the highest bit

multiplied by two and then subtract one. So when I remember 6, 5, 5, 3, 6, that tells me that if I

65535. This is very, very useful if you’re going to be working with binary numbers a lot,

or if you’re taking exams or whatever it is that you’re doing, I would recommend everyone do this.

Okay. What do you say? What do you say we do another binary number, but we’ll just do something

a little bit smaller to make it easy. Okay. So by the way, when you start to memorize these positions,

start to eyeball it, which is really, really fast and a good idea. Like I can see those two

numbers right there. I know the first one is a one and the second one is a two. So that means the

one and the one are just going to be a value of three. Then I just quickly go, all right, one,

two, four, eight, one, two, four, eight, 16. So it’s going to be 16 plus three. So it’s going to

be 19. I guarantee it. Let’s, let’s double check this real fast. We’ll say one times two to the

and then we’ll say 1 times 2 to the first power

and then we’ll say 0 times 2 to the second power

and then we’ll say 0 times 2 to the third power

and then we’ll say 1 times 2 to the fourth power

and if I didn’t go too fast and make a bunch of typos

it should be the number 19

So there is a lot of benefit in memorizing the strength of these different positions.

I personally never remember very much beyond 256 when I’m actually trying to work out a number

conversion, but when I’m just thinking of how to compute things, it’s faster if I can go up to

65536. Okay, I hope you enjoyed this video. I hope you learned a little bit of stuff. I hope

you had a little bit of fun. I’ll see you in the next one.

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The post Binary to Decimal Made Easy: Fun Crash Course for Beginners appeared first on NeuralLantern.com.

Hey there! Let’s dive into converting decimal to binary—super simple once you get it! I walk you through 55432 and 632, step-by-step, with a few calculator oopsies (I’m not a math whiz either). Learn the divide-by-2 trick, why remainders matter, and how to double-check your work. Plus, a pro tip: don’t just memorize—practice tons! Hit subscribe if you liked it, and let’s keep learning together!

Introduction to Decimal and Binary 00:00:00
Explaining Base 10 and Base 2 00:00:11
Conversion Method Overview 00:01:35
Starting Conversion Example (55432) 00:02:20
Step-by-Step Division Process 00:02:35
Using Modulo Operator 00:02:57
Continuing Division Steps 00:04:04
Reaching Remainder Patterns 00:05:53
Finishing Conversion and Reversing 00:09:17
Double-Checking Binary Result 00:11:51
Second Example Introduction (632) 00:12:52
Conversion Process for 632 00:13:04
Correcting Mistakes in Calculation 00:14:22
Completing 632 Conversion 00:15:56
Learning Tips and Verification 00:16:04
Outro and Subscription Request 00:16:40
Additional Engagement Options 00:17:41

Thanks for watching!

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Hello there.

Let’s talk about converting decimal to binary.

So decimal and binary, if you don’t already know, they’re number representations with

different bases.

So if we have like a decimal, it’s base 10, which means we have the character 0, 1, 2,

to represent a number. We could represent the same exact number in binary as long as you’re

not using like a fraction or anything in binary which is a base 2 because in binary you only have

a 0 and a 1. By the way we can use fractions in binary it’s just that when you start using

fractions then sometimes the numbers don’t translate precisely in every single case.

They often do but not always so. If you’re not using a fraction and you want to convert a number

to binary or binary to decimal it should work you should be able to represent the number exactly

okay so base 10 means we have 10 digits that we can use base 2 means uh two digits or two

sorry two characters or 10 characters and um how do we convert a number okay so the first thing

i’d like to do is let’s see five five four three two is what i wanted to do let’s take a number

And we’ll convert this number into binary.

So the first thing that we do is we try to understand that every single time we have

a temporary number as we’re converting from decimal to binary, we’ll just keep dividing

it by two forever and take the remainder at each step.

The remainder is going to be either zero or one because we divided by two.

When we eventually have nothing left, then we’re done.

and all of the remainders are going to be the binary number so let’s try it I’m

gonna pull up a calculator because I’m not like super sharp at math all the

time I just want to do this quickly remove from favorites was already in

there oh it’s right there the symbol doesn’t make sense the calculate people

have a different symbol and I I’m doing something wrong it’s not showing the

right symbol here I need to fix that okay so 554 32 so the first thing we do

So the first thing we do is we divide it by 2, so I’m going to say 55432, just write down all the steps, it’s a really, really good idea.

55432 divided by 2 is what? It’s something, remainder something.

So the remainder is either going to be 0 or 1, so I’m just going to punch that into the calculator real fast, divided by 2, that’s going to be 27716.

Well, we started with an even number so I can just infer that the remainder is going to be zero.

But if you’re not sure, you can use the modulo operator.

So here when we use the division operator, it’ll tell us what the quotient is.

What’s the actual, you know, what is that number divided by the other number?

But if we use the modulo operator, it’ll just give us the remainder.

Not all calculators do this. Keep that in mind.

7 7 1 6 which was the the result and just multiply it by 2 again if you have the same exact number as you started with

Then you know the remainder is 0 otherwise

You can subtract the original number 5 5 4 3 2 from

The number that you multiplied back up and then that should give you the real remainder. Hopefully your calculator does modulo though

For those of you who are ambitious you can probably just open up a Python terminal and

way because programming languages all have the modular operator and python is pretty easy to get

into all right so we’ve done that we now know that there is a zero somewhere in our binary result

but because we have this result that is pretty big we’re not done we have to continue dividing

so i’m just going to take that number copy paste it to the next line and divide it again

and just repeat the process i’m going to say something divided by two it’s one three eight

check myself here 13858 the original number was even the six was even so I know there’s not going

to be a remainder pretty much you know if it’s even zero remainder if it’s odd one remainder

that’s pretty easy I don’t need to worry about the modulo operator and then I’m going to do it

again copy paste 13858 down to the next line divided by two equals what

2929 so 6929 remainder what?

858 at the end there was even so I’m going to say it’s remainder zero that’s like a lot of zero remainders for me personally

I like to space

My notepad results here out so that everything is lined up notice how the R is kind of like askew

So I’m just going to hit a space there to make sure everything is lined up

And then I’m going to do it again

6929 divided by 2 maybe I’ll hit a space before that

that division symbol to make sure everything is okay.

6929 is going to be, oops, I’m on the wrong.

Did I accidentally close that?

Oh my gosh.

I cannot stop myself.

What?

It’s saying that it was already open somewhere.

Did I just miss that?

No, okay.

Whatever.

Okay.

So 6929 divided by two,

divided by two it’s going to be oh I forgot yeah this calculator is not going

to like around for me so that’s that makes it even easier if the result is

0.5 then the remainder is definitely one otherwise the remainder is zero so it’s

going to be three four six four remainder one three four six four

remainder one space it out real fast three four six four remainder one okay

and then copy three four six four forget about the one we’re not copying that

copying the actual quotient result. So 3464 divided by 2, 1732, 32, remainder 0 because

it was even in the first place, 1732. Oh, there it is. I keep forgetting. Maybe I should

pin this to the top so I don’t lose it. 1732 divided by 2, it’s going to be 866. Whoops,

3 2 divided by 2 equals 8 66 remainder 0 because it was even do my spacing i did my spacing

then we’ll divide again 866 divided by 2 i don’t know maybe my spacing is kind of dumb maybe i

should have spaced the numbers and not spaced the operator that’s probably better okay so 866 divided

433, 433, and it was even, so the remainder is zero.

And then, 433, okay, so 433 divided by two.

I’m getting tired of this.

I don’t know if you can tell.

216, so 433 divided by two is going to be equal to 216,

and then remainder one.

Space that out.

Oh, I messed that up again, okay.

And then space those out, and then everything is good.

those out and then everything is good okay so then 216 divided by two and of

course I’m just doing this again and again and again I hope this is not too

boring but I hope you’re following along another good tip that I like to give

people when they’re learning new things is do not make the mistake of

accidentally memorizing a handful of examples try to find as many examples as

you possibly can and every time you practice use a different example that

way you will actually learn how to do the thing instead of accidentally

accidentally memorizing an example. Okay, so 108 divided by two. Maybe I’ll do this again,

but with a smaller number just to make things faster. It’s going to be 54,

remainder zero, and then 54 divided by two. I guess I can just do this in my head. I don’t

really trust myself, so I’m going to do it over here. Okay, 24 remainder zero, because it was

even and then we’ll do 27 over here that’s definitely going to be a remainder one so that’s

going to be like probably 13 remainder one i don’t trust myself i’m gonna do it for real

27 divided by 2 13 remainder 1 and then put the 13 there 13 divided by 2 is

um 6 remainder 1 oh no i’m losing it okay 6 remainder 1

for double checking. I am honestly not like an internal mind math whiz. And then we do

six divided by two, that’s just going to be three remainder zero. And then we’ll do

three divided by two is going to be, you know, one because only one of the twos can fit there.

And then one remainder one. And then we have one left over. So we’ll say one divided by two,

we can’t actually fit, you know, any twos into the one. So it’s going to be zero.

so it’s going to be zero remainder one and now at this point remember we’re just carrying over

the quotient result we’re not carrying over the remainder so if I carry this over here

zero divided by two the number is always going to just be zero remainder zero no matter how many

times now no matter how many times we carry this down so we know we’re done when this number that

we’re dividing is a zero we’re just totally finished so now I’m just going to omit that

Well, maybe I’ll leave one up there just to kind of prove a point.

Think about this, if this is actually going to be zeros forever, which side of the number

string would the zeros go on so that no matter how many zeros you computed, the actual result

wouldn’t change?

For example, if I had this original decimal number and I decided to say, all right, I’m

going to add some zeros to it without changing the result.

then it definitely changes what number that is, right?

The value is now multiplied by a thousand.

But if I put the zeros on the left,

then the number doesn’t actually change.

These are junk zeros.

They don’t mean anything or they mean nothing.

So that means wherever the endless zeros are

is actually the left side of the binary string

that you’re trying to make.

Think about it.

You know, we’re not going to put a bunch of zeros

on the right side of a binary string

we’d be increasing the size dramatically just based on our whims of how many times we tried

to divide a zero.

Instead if we stick the numbers on the left side, then the result doesn’t change so it’s

totally fine.

Which means if you kind of tilt your head to the left, that’s the number, not to the

right.

So that means you know probably intuitively you might have been thinking oh the first

number, the first remainder we got that was going to be the first digit and then we work

our way to the right.

we work our way to the right no no no actually it’s backwards we have to reverse it so i’m going

to go ahead and um you know you can you can if you want to you know you can start at the bottom

and work your way up and then just write the binary string correctly sometimes i’d like to

start from the top and then reverse the string later just as a little brain exercise so i’ll go

one two three starting from the top one one two three one one two three one one zero one one

And then I’ll reverse it.

I’ll say 1101100010001000.

And because I just did it this way, this provides a nice opportunity to double check your work

because it’s really easy to get things like this wrong.

I get things wrong all the time.

And so if you can figure out a way to double check your work in two or three different ways,

you reduce the chances of being wrong.

It takes a little more time, but it’s a really good idea when you’re actually doing work

or like you’re taking an exam or whatever.

an exam or whatever check your work in multiple different ways so now that I’ve done it in

the first way I’m going to do it from the bottom up just to see if I was right so I’m

going to go one one zero one one zero zero zero one zero zero zero one zero zero zero

does it match it seems to match so I’m pretty confident that this is the correct number let’s

just punch it in real fast I’m going to punch it in on my personal calculator here real

I’m just going to copy this to my outside calculator just to prove to myself that it works.

55432.

Okay, so this is indeed the correct answer.

We now understand how to convert from decimal to binary.

It’s not too bad, right?

Let’s do another number just for fun, just something really small.

Let’s go 632.

Okay, whoops, nope, nope, nope.

Let’s do another tab.

We’ll say decimal 632 so that this is faster.

We start with 632.

We divide it by 2.

632 we divide it by 2 the result is going to be oh can I guess this 350 and then like a 15 and then

a one one I don’t know if that’s going to be right remainder zero let me see if I can punch this up

632 divided by zero I oh I blew it oh I was thinking of okay this is why I use a calculator

316 divided by 2 is going to be, I thought I was so cool too, like, oh, everyone watching

is going to be so impressed that I did this in my mind.

Nope.

So we do 316 divided by 2, it’s going to be 158 remainder 0.

So 158 divided by 2, that’s going to be, okay, that’s 75 plus 4, I guarantee it.

So I’m going to do 79, 79 remainder 0.

Let me see if I’m right.

Oh gosh, this is going to be embarrassing if I get it wrong.

79, okay.

So then, now we’re gonna do 79 divided by two.

Whoops, I spaced poorly.

79 divided by two is basically gonna be 39 remainder one.

We know it’s remainder one,

cause you know, 79 is odd.

If it was 80 divided by two, it would’ve been 40.

So let’s just double check real fast

to make sure that we’re getting it right.

It’s easy to get things wrong

if you’re not double checking yourself.

39, okay, so then we’ll do 39 divided by two.

divided by 2

well that’s just going to be 20 remainder 1

am I right about that? I don’t know

let’s see

39 divided by 2

oh I blew it

what was I thinking?

of course it’s going to be at least 40 if it’s 20

totally blew it

so 19 divided by 2

ok so I’m looking for a lower number not a higher number

so 18 so that’s 9

let me see 9 remainder 1

am I right?

Am I right? By the way all these shenanigans that I’m doing right now are exactly how I’m gonna end up with the wrong result

And have to do this whole thing all over again from scratch, but hey at least it will be more brain exercise

Okay, so 9 divided by 2

I’m gonna say 4 remainder 1 because it’s odd

We’ll do 9 divided by 2 just to double check and then we’ll say 4 divided by 2 is

think I need to double check it although I probably should anyway 2 divided by 2 is going to be 1

remainder 0 okay we have a 1 so we actually have to do this one more step 1 divided by 2 equals

1 remainder 0 oh sorry sorry sorry sorry 0 remainder 0 otherwise that would have been

infinity 1s for no reason at all so 0 remainder 0 sorry remainder 1

Then finally, we’re down to 0 divided by 2 equals just 0, remainder 0.

And then we’re finished.

Okay.

Let me do it the first way where I go from top to bottom, then reverse it.

1, 2, 3, 1, 2, 3, 4, 1, 2, 1, 1, 2, 3, 4.

Then I’ll try to reverse that.

1, 2, 3, 4, 1, 1, 2, 1, 2, 3, 4, 1, 2, 3.

Okay.

Then I’ll do it from the bottom up.

1, 2, 3, 4, 1, 0, 0, 1, 2, 3, 4, 1, 2, 3.

two, three, do these two match?

Yes, they do.

Okay, I think we’ve successfully done this.

We’re now semi-experts at converting decimal to binary.

Thank you for watching.

I hope you enjoyed this video.

I hope you learned a little bit of stuff and had a little bit of fun.

I’ll see you in the next video.

Hey, everybody.

Thanks for watching this video again from the bottom of my heart.

I really appreciate it.

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