An Introduction to Binary Numbers

This video briefly explains what binary numbers are. In particular, it explains what each digit in a binary number represents (a multiple of a power of two - i.e. 1, 2, 4, 8, 16, etc.) and compares that with what each digit in a decimal number represents (a multiple of a power of ten - i.e. 1, 10 , 100, 1000, etc.).

[@sil3nt_shdw___253]

bro u have no clue how many vids i went through speaking about binary and i was sooo condused and ur vid made it soo much more easier to understand

[@PeenTip]

I’ve watched countless.l videos on binary and this by far was the one that made it click in my head. Thank you sir

[@louisaugust1815]

I bought a book - Simply Math. I decided to look on You Tube for an explanation for everything that is in the book. Your explanation is clear and precise. Some day I hope to be more knowledgeable of the world we live in.

[@isabellapalacio957]

YOU MADE THIS SO EASY AND CLEAR TO UNDERSTAND THANK YOU

[@pillainag5378]

Excellent teaching. You rekindled my interest in Maths at 70.

[@tleonard8615]

Phenomenal explanation!!! You are anointed to have the knowledge to understand & to be able to teach this...I'm going to school for Health Information Management and I'm required to take 'Computers in Healthcare.' This is my first encounter with 'bindary numbers,' and I'm grateful to find your lesson on it. Thank You!!!!

[@SebPlet]

this vid is amazing ty soo much for taking the time! much appreciated

[@abidullahr.ahmadzai4559]

Thank you so much, a very helpful video, now I know decimal and binary number systems and how to convert a binary number to decimal.

[@leaking_nipples720]

YOU MADE IT SO CLEAR THANK YOU

[@billharperofficial3547]

This is the best explanation so far

[@mariannalove4880]

Plz, do more on this topic. I subscribed and liked your vid

[@bahjasheikh9953]

Omg thank you for making me understand very well.

[@chrismaki5456]

Commenting to help you with exposure, this was very helpful thanks

[@shadaedragriffiths9975]

OMG I UNDERSTAND!!!!!! THIS WAS AWESOME

[@jckooko4357]

Thanks for your explanation..

[@user-bq2mo4dv3k]

your videos are absoletely amazing for a beginners!🐒

[@fluffykitth9958]

Awesome video, thank you

[@gugulethumushongachiware468]

Thank you. Is there a follow up video to this introduction

[@ShaliShaun]

Thank YOU so much your explanation was amazing

[@mugishamonsengo8512]

Thanks for the video! Very understandable!

[@gisselareyes8987]

Best video ever. Thanks.

[@rjhowtos4130]

Thank you so much🙏🏾🙏🏾🔥🔥, I now understand!

[@akosuakoranteng3327]

best explanation on youtube.

[@gabzy42]

who th disliked this video? smh lol Your explanation was easy to follow and to understand. Well done and thank you!

[@rume5963]

Thank you for the lecture sir

[@sureshkhedkar8194]

Your handwriting is too good sir

[@jimjimson5741]

Me and the rest of my classmates having a fucking stroke

[@mhpk999]

Thank you so much that’s the easiest way to explain

[@shimanediseko2790]

Your name reminded me of a character from "Breaking bad" Ted Beneke😂....You taught me well. The arrows pointing out were helpful and labeling the numbers helped too

[@DrTedBurke]

😁 Thanks Shimane

[@theerihalimo]

BEST VIDEO! WOW THANK YOU

[@shadaedragriffiths9975]

y do we have to minus 1 in the last one /????

[@bozkurtkaankaraoglan1420]

Thank you !

[@halnader9427]

Flawless!

[@liliesandtulips2000]

thank you so much, sir.

[@joannamorrison2161]

THANK YOU!!!

[@fitsumteklezghi3098]

thank you very much you are great

[@deamandasari3789]

thankyouu!! i'm totally understand binary number

[@icald]

Wow. This actually makes sense. I wish you explained how to convert to binary.

[@rostingboy4335]

While converting binary do digit muntliplied by 2 and power 0 123

[@gabriellundes7062]

awesome thanks!

[@lw.1320]

omg so clear!!!!

[@abubakarsurayya8364]

Thank you so much

[@kingajb7675]

Is ah nice vid for understanding binary numbers

[@MisterSkraetsch]

Thanks :)

[@jask320]

thanks

[@vedbodkhe3808]

Nice

[@BakariAbubakar]

Almost there after several videos. Just the addition of the binary at the end 1111

[@nooons1367]

❤❤❤❤❤thank you

[@Razzybeets]

Im a bit confused how you got the 15 for the max. How were you climbing from 1*1 + 1*2 + 1*4 + 1*8 = 15 . Like where did the 1,2,4 and 8 come from

[@shahidak6134]

thanks. this really helped

[@kaeinr]

yes same

[@walking-in-truth]

I was wondering the same thing…I know it’s years later, but did you figure it out?

[@inotamaja]

I was wondering the same too Because i got 16

[@inotamaja]

I figured it out!! (1•1)+(1•2)+(1•4)+(1•8) If you add the value numbers 1+2+4+8=15

[@ThePlug4real]

700th like let’s go 👍🏾🇸🇦

[@crazywatt3888]

THANKSSS OMGGG

[@sureshkhedkar8194]

Btw nice video

[@mo7.998]

if we want to go from binary to base nine we will not use the same method right, so why it is just working when we want to convert it to decimal and not any other system?

[@DrTedBurke]

Hi M07.99, I've never come across base 9 numbers in practice, but the same principle applies to any number base. Each digit is a multiple of a different power of the base. So in a base-9 number, the right most digit would be a multiple of 9^0, which is just a multiple of 1. The next digit would be a multiple of 9^1, which is just a multiple of 9. The third digit would be a multiple of 9^2, which is just a multiple of 81. And so on... The possible digit values in a base-9 number would be 0, 1, 2, 3, 4, 5, 6, 7, 8. I'm not sure why someone would be using base-9, but the basic principles are the same for any base. The bases I've come across in practical applications are base-2 (binary), base-3, base-8 (octal), base-10 (decimal), base-16 (hexadecimal). Ted

[@mo7.998]

@@DrTedBurke Thank you for your reply dr , im not going to use base nine but I wanted to know why exactly we always get the number of these operations in base 10 always for all bases I know how to do all the converting thing but I'm confused why once we convert to base 10 we have to multiply like this ( 345) base 6 to base 10 We do 345=5*6^0+4*6^1+3*6^2 to get the base 10 Why we always get the base 10 and not any other base epresentation by this method is there a proof for that or just like that ?

[@DrTedBurke]

@@mo7.998 Ah yes, I see what you mean! That's a good question. The reason that the answer comes out in base 10 is basically just that you compute the sum of those three terms ("5*6^0+4*6^1+3*6^2") in base 10. i.e. If you use a calculator (or even if you do it by hand) you normally write out the value of those terms in decimal, so you end up with the final value in decimal. In decimal, 6^2 = 36 and 3*6^2 = 108, and so on. So if you write the value of each term as decimal and then add them as decimal numbers, you end up with a final answer in decimal. Perhaps a counter-example is the best way to explain.... Let's sat you wanted to convert 345 in base-6 to octal (base-8)... You would calculate it as follows (all numbers written in octal): 5 * 6^0 = 5 * 1 = 5 octal (that would also be written 5 in decimal) 4 * 6^1 = 4 * 6 = 30 octal (that would be written 24 in decimal) 3 * 6^2 = 3 * 44 = 154 octal (that would be written 108 in decimal) Finally, 154 + 30 + 5 = 211 octal (that would be written 137 in decimal) A quick double check that that octal number (211) is correct... 2*8^2 + 1*8^1 + 1*8^0 = 2*64 + 1*8 + 1*1 = 128 + 8 + 1 = 137 decimal So, it's really just about what number system you write the calculated value in when you're converting to a different base. Most frequently, we are writing the value out in the familiar decimal representation, but if you write the terms as octal (or whatever) and add them as octal numbers, you get out the final answer in octal. Hope that helps! Ted

[@mo7.998]

@@DrTedBurke I appreciate this sooo much thank youuuu

[@shadaedragriffiths9975]

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[@Jess-jt9qt]

since were talking about math, what does you + me equal? ahua ha *bites lip* *looks up and down*

[@tardy4638]

😀

[@tardy4638]

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[@adrrr321]

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[@jimjimson5741]

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[@damhasiraf4786]

good question

[@eloha9921]

I went through a lot of binary videos they all were just explaining as if am a genius but you were slow and explaining each and rvrything

[@batangounacethy5495]

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Fast x1.25

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im not your classmate therefore i wont send help

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[@MuhammadAzlaan-uc2te]

Why do we have to multiply it by 10?

[@DrTedBurke]

I presume you're referring to the decimal number example at the beginning of the video (7386). I begin with that example, because everyone is already familiar with decimal numbers (base 10), so it uses something familiar to show how each digit in a number represents a multiple of a different power of the base of the number system (10 for decimal numbers). Then I move on to a binary number example (base 2). In that case, each digit is a multiple of a different power of 2, because that's the base in the binary number system. So basically, 10 is to decimal numbers what 2 is to binary numbers. Hence, I use powers of 10 in the first example (decimal) and powers of 2 in the second example (binary).

[@jimjimson5741]

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[@willnotbetracked8222]

If that was the introduction you can forget the follow up for me! I thought binary was supposed to be simple? 😳

[@sanjaypatel6877]

Nice

[@jimjimson5741]

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[@misconfess]

9:28 wait! how's the 15 is equal to 16?

[@shadaedragriffiths9975]

EXACTLY

[@lababo]

Edward Burke Thank you😎

[@joeyng1282]

Why you start off with 4 digits in the first place?

[@DrTedBurke]

There's nothing special about 4 digits. I just wanted enough digits to show the pattern, but not so many that it took a long time to work through.

[@Jess-jt9qt]

what else can you teach 😘

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jesslyn

[@Jess-jt9qt]

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[@truelenjoshua7866]

why the equal of max: 9x999 is 10000???? its 8,991??

[@DrTedBurke]

Sorry Joshua, I'm not quite sure what you mean. "9999" in decimal is 9x1000 + 9x100 + 9x10 + 9x1 = 10000 - 1

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[@RawAmericanFacts]

"Thats It"

[@DrTedBurke]

😂

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😮

[@DrTedBurke]

I know, it's shocking how amazing binary numbers are!

[@Lolnigaaaaaaaaa]

WTF wow

[@LHJARS]

you need negative numbers too......

[@DrTedBurke]

Yeah, I didn't want to get into that in this introductory video, but if I was going to look at binary representation of negative numbers I would begin with two's complement. en.wikipedia.org/wiki/Two%27s_complement

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[@shadaedragriffiths9975]

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[@bobbymcloughlin3452]

Binary = Multiple of a Power of Two - i.e. 1, 2, 4, 8, 14, 28, Etc. Deltimal = Multiple of a Power of Twelve - i.e. 1, 10, 100, 1000, Etc.

[@DrTedBurke]

🤔

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Lost me at 15

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yep, me as well

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Did anybody seriously understand this?

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No I lost with that example

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