Hey there! Struggling with binary to hex conversions? This video makes it SUPER easy—no math required! Learn to convert between binary and hexadecimal with simple patterns you’ll memorize in no time. Perfect for computer science students, coders, or anyone curious about how computers work. Subscribe for more tutorials, and scan the QR code to visit my site for extra resources. Drop a comment with your questions or video ideas! #Binary #Hex #ComputerScience #Coding

Introduction to Binary and Hex Conversion 00:00:00
Why Convert Between Binary and Hex 00:00:13
Recap of Number Systems 00:00:41
Binary Base Two System 00:01:01
Hexadecimal Base Sixteen System 00:01:24
Benefits of Hexadecimal 00:02:06
Simplifying Binary-Hex Conversion 00:03:04
Four Bits Equal One Hex Digit 00:04:32
Memorizing Binary-Hex Patterns 00:05:13
Creating a Binary-Hex Conversion Table 00:06:26
Converting Hex to Binary Example 00:08:52
Understanding Nibbles and Bytes 00:10:44
Converting Binary to Hex Example 00:13:19
Conclusion and Verification 00:15:38
Call to Subscribe and Engage 00:16:20

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Hi there! Let’s talk about converting back and forth between binary and hexadecimal.

Why would you want to do that? Well, maybe you’re in computer science. Maybe you’ve been presented

with some numbers that you need to convert. Maybe you have like a bunch of ones and zeros.

Maybe you have like an ox and then something that looks really weird. It’s got some letters in it,

but it’s also got some numbers. And you’re trying to figure out what are these? What are we trying

we try to convert back and forth between.

You should have watched my other videos by now,

which will teach you how to convert back and forth

between both of these number bases and decimal.

So you can understand what they are

in just normal human terms.

But as a quick recap, decimal is a base 10 number system

because we have 10 possible characters that we can use.

We can say zero, one, two, three, four,

five, six, seven, eight, nine.

So that’s 10 total characters, zero through nine.

We also have binary, which is what computers use, which is a base two system.

It’s base two because the only characters you have available are just zero and one.

So base two, two characters.

You can represent a number between zero and one in a single digit.

Then we have hexadecimal, which is a way to represent a number in a more compact way.

system there because we have 16 possible characters we have 0 1 2 3 4 5 6 7 8 9

just like decimal but then we add more numbers we had like six numbers we say

a b c d e f and what happens is the a has a strength of 10 whereas the you know

the 9 just to its left had a strength of 9 the a has a strength of 10 the b has a

of 11 the c has a strength of 12 and the d has a strength of 13 and the e has a strength of 14

and the f has a strength of 15 and so you know we just have more characters that we can use in one

single digit which means we can rent we can represent the same number in decimal but just

we can represent it smaller if we use hexadecimal so it’s kind of useful when you’re working with

looking at bits in binary or hex and not necessarily decimal because binary as

you’re going to learn in this video gives you kind of a good idea just by

looking at it after you’ve practiced a little while gives you a good idea of

what hex numbers you would be seeing if you were looking at the same number and

vice versa if you’re looking at hex numbers if you look at them a lot in

your daily life you’ll start to kind of like see through the matrix and you’ll

And if you’re interested in finding what bits are on and off,

it’s convenient to be able to look at a hexadecimal number

and kind of intuitively know,

okay, those bits are probably like on and off.

Those bits are all on, you know, whatever.

So this is the basics of number basis.

Here’s a trick.

In all my other videos,

when we converted back and forth

between decimal and binary and hex and all that stuff,

we used multiplication, we used division,

you know, we messed with the numbers quite a bit.

the great thing about binary and hex conversions is you don’t even really need to do math.

Maybe a little math at first while you’re learning, but eventually when you get used to it,

you start to realize you can memorize short patterns. Let me bring your attention to the

fact that in hexadecimal, you have 16 possible combinations, or you can represent a number

you can do the same thing in four characters if I had four characters right

here in binary very quickly you could do the calculation in your head if you’ve

watched my other videos you can see well that one counts for a one and this one

counts for a two and this one counts for a four and this one counts for an eight

if I want to know what the maximum value is that I could represent with four

digits I just take the the top numbers strength multiply it by two and then

strength multiply it by 2 and then subtract 1. So if we have 1, 2, 4, 8, I’ll just multiply 8 by 2,

that’s 16, and then subtract 1, that’s 15. So I can represent a number between 0 and 15 with 4

binary digits. But I just said you could do that with one hexadecimal digit, right?

So that means one hexadecimal digit is actually four binary digits. And if you just memorize

16 combinations of numbers, which is not like that hard.

And even if you don’t memorize them all,

I don’t have them all memorized.

It’s really easy to convert in your head

a four digit binary number to decimal

and then convert that back to hexadecimal pretty fast,

hexadecimal.

So what’s the equivalent of 1111?

Well, we know it’s the highest possible value

with just one hexadecimal digit.

So that would have to be an F.

So you can memorize already

You can memorize already a couple of really, really easy combinations.

We could say, let me say zero binary, OB to say that we’re looking at binary is equal

to zero X F. So just the letter F in hex.

Remember that we like to prefix different base number systems to give the reader a reminder

of what base they’re looking at.

one i’m going to say that 000 in binary is just zero in hex if i didn’t put that prefix how would

you know if you’re looking at hex or binary or decimal it would be even more confusing if you

had like you know one two zero is that hex one two zero or is that uh decimal one two zero i guess it

can’t be binary one two zero but if we did one one zero now it could be binary or hex or decimal so

i’m just going to put uh zero b for binary and i’m going to say it’s zero so that’s two of the

of the 16 total possible combinations that we would memorize.

So let’s iterate through all the combinations.

Just for the sake of making this table more compact,

actually, let me start a new little notepad page here.

I’m going to omit those prefixes because those are a good idea,

but while we’re doing our lookups, they’re a little irritating.

So I’m going to take them out.

So I’m going to say 0001.

Let me say this.

So I’m just going to count from 0 to 15 in binary.

to 15 in binary.

So this is going to be one, one,

and then zero and then zero, one, zero, one, zero, one,

I don’t know, that’s a lot of copy pasting.

Let me just double check here that I’m doing this right.

I should have 16 lines.

I don’t, so I’ve done something wrong.

Let’s see.

So this is like 0, 1, 2, 3, and this is 4.

This is 5, and then 6, and then 7, and this is 8.

Oh, I have that twice.

Okay, 8.

And then since I copy pasted the bottom part,

I think I can probably assume that’s okay.

One, two, three, four, five, six, seven.

That was kind of spooky.

I guess a lesson learned is that relying on a battery pack

or a light that’s gonna stay on for many hours

is probably a dumb idea.

Anyway, continuing, we have this table here.

We have like 16 possible combinations.

So now I’m gonna map these to hexadecimal digits.

uh you know like 10 are going to be really easy right it’s just going to be zero and then one

and then two you can make a vertical table if you want for yourself I’m just doing it this way

because it’s easier the way that I’m typing in this notepad the way that I’m typing in this

notepad so I’m going to do seven eight nine and then when we get to 10 let me just double check

10. So this is eight plus two. So that means this is indeed a 10 and oh, 10 in hex, not a decimal.

So that’s a and then B and then C and then D and then E and then F. Okay. So now that we have this

little table set up, you know, if you want to write it horizontally, that’s fine. It’s actually

binary and hex now imagine we have a gigantic hex number zero x and then i’m just going to do like a

bunch of numbers and then i’m going to do change some of these to like letters just to make things

more interesting a b c d e did i use any d e f e b i didn’t use a b oh there we go and i’ll put like

another aid in there okay so this is huge and this would take like a while to calculate right

to calculate right if you were going to convert it to decimal for hex to binary conversion it’s

actually pretty easy you literally just go b what is b b is that so b is just that you don’t even

have to do any math let me copy paste this down here so i can show you a really easy way to do

D is this right here.

So I’m going to say the D is that.

And then the 6 is that pattern right there.

So move you over.

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

Maybe that’ll line up later, hopefully.

So the 1 is pretty easy.

Probably didn’t even need to copy-paste that.

I could have just looked at it and typed.

looked at it and typed the E is going to be that and the seven is going to be that

and the two is going to be this eight see what I’m doing I’m literally just

copy pasting the bit patterns if you don’t have copy paste when you’re doing your conversion

that’s okay you can at least write down zeros and ones really fast if it’s just

you know four at a time I should also point out that um you know this is pretty important to

good term that people like to use. Four bytes or one hexadecimal digit, it’s called a nibble.

So usually you’re used to seeing eight bytes in a row and you call that, sorry,

usually you’re used to seeing eight bits in a row and you call that a byte or two hex digits in a

row and you call that a byte. If you just see four bits or one hex digit, that’s a nibble.

Two nibbles make a byte. Try to remember that. So we have this giant thing here.

we have literally now successfully converted binary.

I’m going to put, I’m just going to put OB here

and then remove all the spaces.

This is the binary number that we originally had

in hexadecimal.

So again, just to emphasize, these are the two same numbers.

They’re just represented differently.

Differently.

Let me punch this into my personal calculator

to make sure that I gave you the right walkthrough

so I don’t have to correct in a video later.

so expression X result binary oh god I can’t even I can’t even read that okay

so let me let me do it backwards I’m gonna copy paste this one in there okay

so let’s see X okay so it’s telling me that supposed to get to B and then a D6

728fac. Okay, so I did it. And this is also a good reminder that you kind of want to pair off

into groups of one byte at least. So, you know, each two characters, that’s one byte. One character

by itself is a nibble. So you want to pair off into bytes. And notice how this b is all by itself.

So you want to pad to the left with a zero so that you’re just kind of working with bytes.

It’s easier on the eyes and the brain. And you’ll usually see something like this

output from a program or something. In fact, you might see something like this representing,

here’s a word, or you might see something like this showing that this is like a D word or,

you know, like a 32 bit number. And if we wanted to say, oh, this is a 64 bit system. So let’s

look at 64 bits. Let’s look at eight bytes. Then we’ll just like pad it with, let’s see, one, two,

that’s one, two, three, we’ll pad it with a bunch more zeros. One, two, three, four, five, six,

So this is a proper 64-bit number or an 8-byte number that works with modern systems,

whether you have the space in there or not.

And so I’m not going to do another example from hex to binary.

Let’s do a quick example from binary to hex.

It should be just as easy.

So I’m going to start a new tab here and just copy-paste the table that I made.

Let’s make a bunch of random numbers for binary.

And so now we’ve got like a bunch of numbers.

All we have to do is I’m going to copy paste this so I don’t ruin the original thing that

I wrote down.

And I’m just going to break it up into groups of four, starting from the least powerful

digits, you know, like all the way on the right.

So I’m going to go doop, doop.

Okay.

So after breaking it into groups of four, you can see that the, you know, the most powerful

digit there is a one all by its lonesome.

I could put 000 to make sure that they’re all groups of four bits. I don’t really have to because

I could still kind of understand just by looking at the one that it’s going to end up being a one

and then literally just translate it the same way I did before. Okay that’s a 1.

1 0 1 0 that’s an A. What’s a thousand and one? It is a nine. What’s a 0 100?

what’s one oh one oh a what’s a thousand and one didn’t i just do that that’s a nine

what’s a zero zero oh ten that’s going to be a two for sure yeah two i finally got one off the

top of my head one zero one one that’s a b and then uh basically 15 minus eight i don’t really

want to work that out of my head right now so i’m gonna look at the table seven okay i guess i

should have done that easy right like how fast was that so i’m just going to copy paste these

put an ox in front of it and maybe bunch them into groups of two first to see what’s up

okay so they’re not in groups of two that means this one is kind of i should have started grouping

them on the right side kind of messed it up someone just you know rearrange the grouping

Let me punch this into my personal calculator to make sure that I got this right. Actually, let me do this original number here

I must say

This binary number is supposed to be

1 a 9 4 a 9 2 b 7. Okay, we did it

Really easy, right? So every time you have to convert back and forth between binary and hex

It’s your lucky day because that’s like one of the easiest conversions you could do

Thanks for watching this video. I hope you learned a little bit of stuff and had some fun

I’ll see you in the next video.

So we’ll be able to do more videos longer videos better videos or just I’ll be able to keep making videos in general

So please do do me a kindness and and subscribe

You know sometimes I’m sleeping in the middle of the night

And I just wake up because I know somebody subscribed or followed it just wakes me up and I get filled with joy

That’s exactly what happens every single time

So you could do it as a nice favor to me or you could you control me if you want to just wake me up in the middle

And I just subscribe and then I’ll just wake up. I promise that’s what will happen

that’s what will happen also uh if you look at the middle of the screen right now you should see a

qr code which you can scan in order to go to the website which i think is also named somewhere at

the bottom of this video and it’ll take you to my main website where you can just kind of like see

all the videos i published and the services and tutorials and things that i offer and all that

good stuff and uh if you have a suggestion for uh uh clarifications or errata or just future videos

future videos that you want to see please leave a comment or if you just want to say hey what’s up

what’s going on you know just send me a comment whatever i also wake up for those in the middle

of the night i get i wake up in a cold sweat and i’m like it would really it really mean the world

to me i would really appreciate it so again thank you so much for watching this video and um enjoy

the cool music as as i fade into the darkness which is coming for us all

Thank you.

The post Binary to Hex Conversion Made EASY! No Math Needed! appeared first on NeuralLantern.com.

Hello there! Ever wondered what number bases are all about? In this video, we?re diving into decimal (base 10 – the one you already know), binary (base 2 – just 1s and 0s, how your computer thinks), and hexadecimal (base 16 – the compact cool kid). I?ll show you how the same number looks totally different across these systems – binary gets LONG, hex keeps it short and sweet. Plus, why do we even use hex? Spoiler: it?s a game-changer for reading computer memory. Stick around to learn handy prefixes like 0x and 0b to avoid mix-ups. Want to be as cool as those binary-converting pros? Hit subscribe, scan the QR code for more, and let?s geek out together in the next video – conversions are coming up! Drop a comment with your thoughts or just say hi – it might wake me up in the middle of the night with joy!

Please help support us!

• Subscribing + Sharing on Social Media
• Leaving a comment or suggestion
• Subscribing to our Blog
• Watching the main “pinned” video of this channel for offers and extras

Hello there. Let’s talk about number bases. So what are number bases? You’ve probably at some

point heard someone say, hey, I can convert between decimal and binary or between decimal

and hexadecimal or hexadecimal and binary. And you thought that that person was way cooler than you

were. Well, they are way cooler than you. But if you watch my videos, maybe you can be just as cool

Anyway, so what do we mean by number basis exactly?

We’ll start with decimal,

which is the number system that everybody already understands, I hope.

So in decimal, you have 10 characters, right?

So we’ll say like 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

It’s like 9, or sorry, 10 possible characters.

So decimal is actually base 10.

I’m going to write base 10 here.

Decimal is base 10.

base 10 because it has 10 available characters. The next thing is binary. You’ve probably heard

of that before. Even a lot of non-computer scientists understand binary at least a little

bit because it’s just ones and zeros, right? This is how your computer represents information.

All characters, all numbers, all floats, all everything. They really just come down to zeros

and ones inside of the computer. And it’s not like there’s an actual zero or an actual one anywhere.

It’s more like there’s a certain voltage that represents a one or there’s a different voltage

represents a 1 or there’s a different voltage that represents a 0.

You can think of it as just like voltage or no voltage, but that’s not always the case.

But you know, long story short, it’s just 1s and 0s.

So in binary, we can just represent a 0 or we can represent a 1 and that’s it.

Because there’s only two characters that we can use to represent numbers, we call this

base 2.

So that’s binary.

Now not a lot of people have heard of hexadecimal outside of computer science, but hexadecimal

outside of computer science but hexadecimal is a number is another

number system that we can use which uses base 16 the reason we use hexadecimal is

it because it kind of it kind of compacts a number I’ll show you in a

second how it can represent the same number but with less characters you can

imagine in binary if we have base 2 there’s only two characters that means

the same number in decimal versus binary it’s probably going to be a lot longer

imagine that, right?

Because it’s not like the actual numbers change

that we’re trying to represent.

It’s just that the representation changes.

So hex or hexadecimal,

we have 16 different characters.

Did I say 15 a moment ago?

Sorry if I did.

So we start with the normal ones that base 10 has,

decimal has.

So we go three, four, five, six, seven, eight, nine.

So that’s 10.

the extra five, we do A, B, C, D, E, F. Sorry, extra six. I knew I was going to say five at some

point. So in hexadecimal, we have the characters zero, one, two, three, four, five, six, seven,

eight, nine, and then A, B, C, D, E, F. For a total of 16 characters, or one digit can represent

here. So this is the basics of the differences between the number systems. Let me show you a

quick example. Let me see if I got my calculator here. Hopefully it’ll work. Okay. I’m going to do,

let’s see, variables. So how do you get into this one? Mode. Oh, number base. So I’m going to do,

let’s just pick a random number in decimal. So I’m going to say like, you know, just hit the

So you can see that if I type a number in decimal and show it in decimal, then well,

it’s the exact same size as you probably have suspected.

But if I represent this exact same number in binary, you should probably expect that

the representation is going to be way longer because again, binary only has two characters

to work with.

So it’s harder for it to represent the same information.

So I’m going to change the expression base here to binary.

Oh no, what’s happening?

What’s going on here?

Expression base.

Oh, I did the wrong thing.

Decimal is the expression base.

Binary is the result base.

Okay.

So that same number that we had before, 871, 876, 42,

look at how huge it is in binary.

Takes up a lot of your screen, right?

So we use binary because it’s the closest representation

to what the actual machine has.

So that’s good.

Especially if you want to start manipulating individual bits

manipulating individual bits for one reason or another. It’s good to know how to, it’s good to

understand binary. But hexadecimal is useful, like I said before, to compact the same number. So

again, because the base of the original number is 10, you know, we had the original number in decimal.

If we show a hexadecimal version of it, it should be shorter because there’s 16 characters to work

with. It’s easier for it to represent the same information. So the result base, I’m just going

hexadecimal here and look at how short that number is the original number is one two three four five

six seven eight it’s eight characters long but the hexadecimal number is two four six seven

characters long and that savings in characters will go up and up and up the more you know the

longer the original or the bigger the original number is let me see if I can just add some more

numbers here okay let’s see if we get more savings here one two three four five six seven eight nine

Okay, so the original number is 15 long and here we have 2, 4, 6, 8, 10, 12, 13.

So that’s a savings.

Now think about it this way.

This is a huge savings compared to binary.

Let’s go back to binary real fast.

Same number, which is currently in hex.

As soon as I start showing it in binary, the number explodes.

So there are a lot of numbers, especially if you have a 64-bit number, which you work

if you were to just take you know one of those 64-bit numbers and try to express it in binary

it’s just kind of like it’s really really long and if you want to represent anything even a little

bit bigger like 128-bit numbers or even the contents of memory from you know one memory

location to another binaries just can explode and fly off the screen so this is why I mean this is

one of the biggest reasons why we use hexadecimal because it’s just it’s easier to see what’s inside

of the computer it’s easier than decimal and it’s easier than binary at least once you understand

hexadecimal one other thing that i want to uh show you real fast let me see like let me change

that back to decimal so i don’t screw myself later okay um suppose that you wanted to represent a

number in binary sorry let’s say decimal well you know we’ll say like one two three four right and

well actually let’s not do one two three four let’s say like a thousand and one and then you

want to represent a number in binary and you write one zero zero one and then you want to

represent a number in hexadecimal you could also have one zero zero one right the problem is that

each of these numbers are actually different numbers they only look the same because the

character representation is the same but not the actual number so how do you uh how do you sort of

How do you sort of like differentiate and make sure that the person reading the numbers that you’ve written down knows what base they’re in?

Because if you know if you’re a computer scientist or you’re doing some kind of crazy math, then

well, it might not be obvious and

you want to be careful that the person doesn’t misinterpret your results.

Okay, so let me do that thing again real fast

just to prove to you. What am I doing here? Units? No.

Mode.

Okay, so I’m going to say if I write 1001, I’m going to display it as decimal,

but the input is first going to be decimal.

So in decimal, 1001 is 1001.

Okay, that’s fine.

But if this 1001 was actually a binary number,

I’m going to say that the expression base is binary here.

Notice how the real number is actually 9 if you represented it in decimal.

expression like the original number was you know the characters were hexadecimal then the real

decimal version of 1001 would be 4097 that’s three totally different numbers so you got to be careful

that you know what you’re reading and you got to be careful that you help the person reading what

you’re writing down if you’re trying to transmit this information so with hexadecimal a really

really common prefix that everyone should use is ox ox and then any number after that usually just

reading this is a hexadecimal number so there’s no ambiguity same thing for binary you’ll just say

like ob and then for decimal you just just leave it alone i think there’s a another prefix you can

use but i usually don’t use anything but at least uh ob says this is binary and ox means this is

hexadecimal and then nothing just means okay just default to human reading just decimal

okay this was the basics of number bases in other videos i’m going to talk about how to actually

between these three bases maybe in the future at some other point in some other

video far off in YouTube land I might talk about octal or some other base but

in the immediate future it’s going to be decimal binary and hexadecimal so I

hope you’ve enjoyed this video I’ll see you in the next

hey everybody thanks for watching this video again from the bottom of my heart

I really appreciate it I do hope you did learn something and have some fun if you

a small little favor could you please subscribe and follow this channel or

these videos or whatever it is you do on the current social media website that

you’re looking at right now it would really mean the world to me and it’ll

help make more videos and grow this community so we’ll be able to do more

videos longer videos better videos or just I’ll be able to keep making videos

in general so please do do me a kindness and and subscribe you know sometimes

I’m sleeping in the middle of the night and I just wake up because I know

wake up because I know somebody subscribed or followed. It just wakes me up and I get filled

with joy. That’s exactly what happens every single time. So you could do it as a nice favor to me or

you could you could troll me if you want to just wake me up in the middle of the night just

subscribe and then I’ll just wake up. I promise that’s what will happen. Also if you look at the

middle of the screen right now you should see a QR code which you can scan in order to go to the

website which I think is also named somewhere at the bottom of this video and it’ll take you to my

You can just kind of like see all the videos I published and the services and tutorials and things that I offer and all that good stuff.

And if you have a suggestion for clarifications or errata or just future videos that you want to see, please leave a comment.

Or if you just want to say, hey, what’s up? What’s going on? You know, just send me a comment, whatever.

I also wake up for those in the middle of the night. I wake up in a cold sweat and I’m like,

It would really mean the world to me.

I would really appreciate it.

So again, thank you so much for watching this video.

And enjoy the cool music as I fade into the darkness, which is coming for us all.

Thank you.

The post Master Number Bases: Decimal, Binary, and Hexadecimal Explained! appeared first on NeuralLantern.com.