Confused by hexadecimal numbers? Don’t worry! This fun, step-by-step guide makes converting hex to decimal super easy, even for beginners. With clear examples and a chill vibe, you’ll master this computer science skill in no time. Perfect for students, coders, or anyone curious about number systems. Hit subscribe for more coding tutorials, and check out our site for extra resources! #HexToDecimal #CodingForBeginners #ComputerScience #LearnToCode
Introduction to Hexadecimal Conversion 00:00:00
Purpose of Conversion 00:00:11
Number System Basics 00:00:39
Hexadecimal Explanation 00:01:12
Converting Hex to Decimal 00:01:59
First Example Setup 00:02:35
Decimal Place Value Recap 00:03:02
Hexadecimal Place Value 00:05:14
Formula for Conversion 00:05:43
Translating Hex Letters 00:08:17
First Example Calculation 00:09:51
Second Example Introduction 00:11:14
Second Example Conversion 00:11:58
Second Example Result 00:13:11
Conclusion and Call to Action 00:14:00
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Hello there. Let’s talk about converting hexadecimal to decimal.
So why would you do this? Of course, sometimes in computer science and other realms, you may be
faced with a number that looks like this, and it’s got some letters in there, and it’s weird,
and you’re thinking, oops, not a V. That wouldn’t work. Not a G. And you’re thinking like, what does
what does this number mean in decimal well this is a number that is real and we can just change
the way it’s represented uh to decimal so that we can understand what it is so just like a quick
recap if you haven’t watched my other videos yet uh in decimal we have a base 10 system which just
basically means we have these characters zero one two three four five six seven eight nine there
base is 10. In binary, of course, we have base two, which is just, you know, we have a zero and a one
because in the computer, which is why we learn binary, we just have on and off basically for
every single, you know, part of the computer. There’s just like a certain voltage or there’s
not a certain voltage and that’s it. And then for hexadecimal, which is a way to represent the same
numbers, but just in a more compact way. It’s a little bit more compact than decimal. It’s a lot
than binary we can say that this is base 16 which means we have 16 total characters that we can work
with zero one two three four five six seven eight nine and once we run out of numbers we just start
using letters so a b c d e f so there are 16 total characters if we include the zero which means we
So that’s the basics of you know the number basis let’s uh let’s work out how to convert a hex
number to decimal. So I’m going to say ox because in hex when you write down a hex number you should
usually put ox in front of it unless the program you’re working with doesn’t understand that but
usually especially for a human reader you should do it this way. So I’m going to just type like a
few random maybe I have to I have to keep the number small because hex will explode it’ll be
not careful. So I’m going to put like a I don’t know, maybe a few decimal numbers there or a few
like digits that are zero to nine, then I’ll just to make it more interesting, I’ll put some letters
in there. How about like an E there? And then I don’t know, like, we’ll do a B there. Okay, so
how many do I have? 12341234? How about we get rid of? Now, let’s go for it. This is going to be an
So this is our starting number hexadecimal. What we need to do is understand that, well,
a recap if you haven’t watched my other videos yet. In decimal we have, let’s say, 0, 1, 2, 3,
4, 5, 6. You know that the first digit has a strength of 1. You multiply 6 by 1 to understand
the real power of that 6. For the 5, you know that it has a power of 10 or a strength of 10
10 because it’s the next digit over you know to the left same thing for the four it’s like got a
strength of 100 and so every time you move to the left the strength of the digit increases by a
factor of 10. why does it increase by a factor of 10 because decimal is base 10 because we have 10
possible digits we can represent for each character okay so by the time we get to that
left, we have a strength of 100,000. So, you know, if you wanted to really understand 100,000,
if you really wanted to understand, you know, how powerful, let me, let me give some spacing here.
So this feels better. Okay. If you really wanted to understand like, you know, what is the strength?
What is like the actual value of this digit right here? You’re imagining this is like 100,000.
this digit here you’re imagining that this is two of ten thousand you know two times ten thousand
and so forth so uh uh just like another recap the first digit is really 10 to the zero power
like in terms of the strength because if you multiply um let me pin this to the top
if you multiply you know 10 to the something power and you start at zero with the most
the weakest digit 10 to the zero power gives a strength of one and then every time you move over
to the left you just increase the exponent there by one so 10 to the first power is going to be 10
that’s what that five has got so it’ll be five times 10 to give us an understanding of how you
know powerful that digit is move one over to the left it’s 10 to the second power so that’s 100
move one over to the left it’s 10 to the third power and so forth until we get to 10 to the fifth
1 times 10 to the fifth power to understand how powerful that is so we can do the same exact thing
with hexadecimal except instead of raising 10 to a power we raise 16 to a power because hexadecimal
is base 16 whereas decimal is base 10. so that means this e is is uh you know 10 to the or sorry
16 to the zero power and then that 3 is 16 to the 1 power and that f is 16 to the 2 power and so
16 to the 2 power and so forth so first what we should do is let’s write out a
formula which won’t work in a calculator because we’re going to put some letters
in there and then later we’ll translate the letters to actual values so we’ll
start off with the e we’ll say e times 16 to the something power it’s going to be
16 to the zero power okay so then the next digit is 3 so 3 times 16 to the
And then the next thing is going to be F times 16 to the second power.
And just as a reminder here, I’m starting with zero with the smallest digit.
And I’m just working my way up in steps of one.
So it’s zero power or raised to zero and raised to one and raised to two and just so forth all the way to the left.
That number will just keep increasing by one.
The exponent will increase by one.
times 16 to the third power do it again um one times 16 to the fourth power do it again
um d times 16 to the fourth power oh what did i do did i erase something
0, 1, 2, 3, 4, 5.
Oh, that was supposed to be a 5.
Okay, maybe it’s good that I thought I made a mistake
because that drew my attention to the bad exponent.
Okay, so after the D is a B.
B times 16 to the 6th power.
And then one more.
We’ll say 6 times 16 to the 7th power.
And then another one.
A times 16 to the, whoops, to the eighth power.
And another one.
One times 16 to the ninth power.
Ninth power.
Okay.
So just double check your work real fast.
You know, because I make typos all the time and I get things wrong all the time.
So just double check.
Zero, one, two, three, four, five, six, seven, eight, nine.
It’s sequential.
Double check the digits.
6 b d 1 3 f 3 e okay so i got that right i’m not going to erase my work because if i end up screwing
up the next part oh man is it going to be a hassle to correct so i’m just going to copy paste it here
and then i’m going to start translating the letters to numbers anytime you see a number here like one
time something it’s just one but every time you see a letter you have to translate that into
in decimal. Remember in hex, we’ll say, what can I do?
I can say A, B, C, D, E, F.
And I can say that the A is worth 10.
The B is worth 11.
The C is worth 12.
And the D is worth 13.
The E is worth 14 and the F is worth 15.
Well, maybe I should do the other numbers too.
five, six, seven, eight, nine,
just so we have a visual reminder
of like what we’re even looking at.
And I won’t write down what the digits are worth
because they’re worth themselves, right?
So like zero through nine, it’s just worth zero through nine.
So now that we have this little translation table up here,
anytime we see a letter,
we can just translate it very quickly to the decimal value.
So A is worth 10, we’ll put a 10 there.
Maybe I’ll add some spacing so that this continues to line up.
I see a B here, so the B is gonna be worth 11,
11 add another space so it lines up i’m running out of room but i’ll try the d is worth 13 add
another space so it lines up and then the f is worth 15 add another space so it lines up the e
is worth 14 so i’ll add another space so it lines up okay let me just double check my work here a b d
So now I’ve got like a big formula that I wrote out.
I can literally now, I mean, you can do this in your head if you’re like a crazy genius,
but I’m just going to paste this into a calculator and hit enter.
And this is the number that we had originally in hex.
Maybe I’ll put commas here to make things more fun.
I don’t know.
You don’t really need to do that, but I’m going to.
So for me, it’s easier to read.
this is uh like 113 trillion 478 no wait that’s a million and that’s a bill okay so 113 mil a
billion 478 million 25 022. let me punch up my personal calculator here to make sure that i’m
getting this right i’m not going to show this on the screen because i’ve just got this up
on my host machine bet you didn’t know i’m inside of vm right now surprised you didn’t know that
decimal and the number is supposed to be 113478025022 okay so we did this right we now know how
to convert from hexadecimal to decimal and it’s pretty awesome right okay let’s do another number
one that is not quite as hard let’s see how many digits do we have here one two three i think we
5, 6, 7, 8, 9, 10.
Yeah, okay, we had 10.
Let’s do a five-digit hex number.
Okay, maybe I’ll copy…
I’ll copy just this table at the top
since you don’t need it anymore,
but I’m going to need it to do my calculations.
So we’ll do 1, 2, 3, 4, 5,
and I’ll just start randomly changing
some of these numbers.
Like an 8 over here, and how about like a 2?
So I’ve got five numbers.
This is OX.
I’m going to say this is a hexadecimal number.
Kind of ambiguous if we tell the reader this is a hex number,
but then we put OX.
Kind of don’t really need to tell them that it’s hex
because OX tells you it’s hex.
It’s not even part of the value.
So let’s get on with it.
I’ll start by just doing 8 times 16 to the something power,
which is going to be 0 for that first position.
the power as we go to the left so it’s going to be 1 times 16 to the first power and then it’s
going to be f times 16 to the second power and then it’s going to be 2 times 16 to the third
power oh no my thoughts are wandering i think i’m getting bored of recording this video i’m starting
to the fourth power but honestly why couldn’t they end up together so and
then I think one two three four five okay so that’s five digits a to f one
eight a to f one eight all right zero one two three four just to make sure
that I got my exponents right copy paste it so I don’t have to repeat my work if
I get something wrong I’m gonna translate the letters into numbers so a
becomes 10 f becomes 15 and the other numbers are fine as is I can just copy
fine as is I can just copy paste this whole thing stick it into a calculator and now I know that
this number is actually 667 416 with a little comma in there don’t put commas if you are taking an
exam somewhere if you’re watching my video to help with your exam because most most likely the exam
that you’re taking will not accept a comma it’s not been pre-programmed for a comma I don’t know
If you start typing numbers and a comma just shows up, then it probably was programmed for a comma.
But don’t assume it might be a string match and not a numeric match.
So be careful out there.
Be careful.
So 667-416.
Let me punch this into my personal calculator just to make sure I got this right and I don’t have to issue an errata.
667-416.
All right.
We’ve done it.
We know how to convert hexadecimal numbers into decimal numbers.
Thank you so much for watching this video. I hope you enjoyed it and had a little bit of fun and
learned a little bit of stuff. I’ll see you in the next video. Hey everybody, thanks for watching
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