Decimal Fractions to Binary

Conversion from Decimal Fractions to Binary is been explained by considering an example.
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[@Creamy_moon.ipq3nj]

I can't understand that why did we stop after doing the multiplication for 5 times, if we got a number 34.98 so did we just multiply to 2 f0r 5 times......?

[@chayandas8204]

mee to

[@SoftwareWise]

Hey everyone. Its important to remember that different number systems like base 2, 8, 10 and 16 have different attributes and therefore converting numbers between these systems may lead to fractions that go on for a very long time.
If you're converting an irrational number, no number system can capture an entire irrational number. So therefore when you convert it the conversion will also be impossible to be entirely precise.
So if your number seems to go on forever it is your job to decide which fraction to stop at to get your desired level of precision.

[@chayandas8204]

got it

[@bts4ever990]

Thanks for the decimal part.....much needed. much thanks!

[@PeterChimpunza]

You explained very well sir but am stuck of when multiplying non integer with the binary number how can I know that I have to stop here ?

[@chitta8609]

Sir you are a real teacher 😢 for me

[@Aditya-xz5qv]

Hi bro, I have one question 'when do we stop multiplying by 2'? Also thank you for explaining this

[@EnggClasses]

Thanks for the comment Aditya. With respect to number of iterations there are 3 possibilities.
1) You may get zero at the fractional part and stop the process.
2) You never get zero at the fractional part but you will get a pattern that keeps repeating and you may stop at that point.
3) You neither get zero or nor get any pattern that keeps repeating, in such case you may stop the process after 5-6 iterations.
In such case, in the numerical itself they mention the number of iterations to be carried out. If nothing is mentioned then 5-6 iterations are ideal.
Hope this helps! Thank you again and have a great day

[@Aditya-xz5qv]

@@EnggClasses Yes, it definitely helps. Thank you so much!

[@cyrilaribon3125]

EnggClasses hello sir, i can’t read more your comment can u reply to this comment so i can be able to see ur explanation when we stop multiplying by 2

[@EnggClasses]

With respect to number of iterations there are 3 possibilities.
1) You may get zero at the fractional part and stop the process.
2) You never get zero at the fractional part but you will get a pattern that keeps repeating and you may stop at that point.
3) You neither get zero or nor get any pattern that keeps repeating, in such case you may stop the process after 5-6 iterations.
In such case, in the numerical itself they mention the number of iterations to be carried out. If nothing is mentioned then 5-6 iterations are ideal.

[@CodeWithUs_]

You can stop after four binary numbers

[@ehrix4468]

For people who see this in the future. For part 2 when he is solving the decimal. I'm assuming you stop when the number you multiply = 0.
For example 0.25:
0.25 * 2 = 0.50 -> 0
0.50 * 2 = 1.00 -> 0
but then 0.00 * 2 = 0.00 which just repeats 0 forever.
This means the answer would be: 0.01
This is just an assumption though. I'm not 100% sure but it seems to make sense.

[@WalkingRat50556]

hii, its probably obvious but why did we divide the number by 2 at the start?

[@namitapalaka5397]

How many time we multiple by sir??

[@etoeducation2023]

Up to which limit we have to multiply fractional part with 2??

[@sidraalam8895]

Do u know the answer now ?

[@b.dharitripatro9763]

Thank you so much sir.i understand it very easily.

[@Chris-rt1yp]

sir, you should have continued to divide 1/2 then there should be a remainder 0.5 which will be represented by 1 bit so that others won't get confused. to give light to others, after dividing 1/2 you will get 0.5 as an answer. since the integer quotient is 0 then there you should stop dividing.

[@norestchonzi2903]

May you explain it again in simple terms like where exactly to stop diving

[@glendocherty4741]

@@norestchonzi2903 you stop dividing when the number divided by 2 begins with a 0, in this case he could've done 1/2 = 0.5 which just equals 0 with remainder 1.

[@Gamesoul24]

Sir thank you for your better teaching 😊thank you

[@mungunzayaganbat6364]

What does it mean to continue until second repeat for fractional numbers to binary

[@mungunzayaganbat6364]

@learn geometry but for example, 0.018 and 0.088 i couldnt find any repetition for both of them. It is endless.

[@mariyamkhan5138]

All the best for tomorrows exm

[@gandharvajoshi7618]

😂

[@saimahithabhattiprolu969]

It was really useful . Thank you for making such a good video that helped me a lot sir and I hope to have more videos from you.

[@shizuka5561]

Thank uh so much sir.. It is very helpful to me.. But still I'm not understand when do i stop multiplying by 2 ??

[@radesh1971]

Same

[@shizuka5561]

@@radesh1971 hmm 🙄

[@snehadancecollection]

@@shizuka5561 jabtak 3 zero Nahi ata tabtak continue Karna ha .

[@shizuka5561]

@@snehadancecollection ohh.. Thnxx for this..

[@snehadancecollection]

@@shizuka5561 welcome

[@aatiq7]

Thanks For the Explanation Sir 😊

[@EnggClasses]

Thank you and keep watching.

[@hasanalsari2171]

How to find the remainder????

[@lilyzibia5916]

the decimal part you multiply by 2

[@adamkassem3665]

Thankyou!! This was very helpful

[@EnggClasses]

You are most welcome Adam.
Subscribe to the channel EnggClasses for more videos.

[@sanjay_7_7_7]

Thank you for the Great full information ❤

[@Rejoicemangkam]

Please sir why are you multiplying the decimal part ?

[@surfingcipher1059]

Because it's a fraction basically the before the decimal would be the numerator hence divide by two and the other one would be the denominator hence multiple by two

[@narymanahmed6104]

How many times should I multiply it by 2?

[@EnggClasses]

Thanks for the comment Narymam. With respect to number of iterations there are 3 possibilities.
1) You may get zero at the fractional part and stop the process.
2) You never get zero at the fractional part but you will get a pattern that keeps repeating and you may stop at that point.
3) You neither get zero or nor get any pattern that keeps repeating, in such case you may stop the process after 5-6 iterations.
In such case, in the numerical itself they mention the number of iterations to be carried out. If nothing is mentioned then 5-6 iterations are ideal.
Hope this helps! Thank you again and have a great day.

[@zkzubaidakhan]

Sir I have a ques. please solve it
Convert decimal 125.062 into binary.

[@جلال-ي8س]

(1111101.00001111111) in binary.

[@SuhanaShetia]

It was very helpful thankyou so much

[@JACINTADOITA]

Perfect explanation 😊

[@GSurendra9119]

until how many iteration we do sir please replay me sir

[@trinaguha8223]

Thank you very much. Very nice and helpful session sir

[@MasterbaitengKids]

Tommorows exam gonna be lit

[@rajputtechclasessrtc6876]

Sir point wali value ko dekhna 167 ko apka binary mai 00101 ko ap decimal maj convert krna isko convert krne pr 167 to a hi ni rha......
,????????

[@mouli1064]

Thank you sir it was very helpful🙏

[@raxtuss1212]

GREAT VIDEO! 👍
half isn't understandable yes
But important parts are clearly pronounced, so you can understand meaning.
Also writing. You could not understand a single word, and still learn subiect.
Definite like from me! We need more of that kind of people here

[@meowmeow5663]

What if example 0.5 x 2 ----> 1, do i need to keep multiply or stop at 1 ? hope anyone can answer this question

[@リリア-n3m]

You stop because the fractional part is equal to zero .

[@goodnessnoma7174]

Thanks you explained it in simple terms

[@saidaouyous861]

thank u very much ---from morocco

[@alifyakaylashafa6943]

thankss sir, finally i know why it never end. I have no idea there is "case 3"🤭

[@footballgenius576]

In first there will be 1 in the side of 43 are you doing mistake.?

[@pawanpt2682]

Can we also use bar symbol as fractional part repeats

[@atharvsurywanshi1644]

Thanks sir very helpful

[@EnggClasses]

You are most welcome Atharv

[@mhdarif8206]

Thanks for the info sir😍🤝

[@EnggClasses]

You are most welcome.
Meanwhile, subscribe to our channel EnggClasses for more videos.
th-cam.com/users/EnggClasses

[@nickykumari2557]

Thank you sir😊

[@nurwahidah2573]

can you convert decimal 891.251 to binary number please

[@EdnoxYT]

Thank you sir

[@EnggClasses]

You most welcome. Subscribe to EnggClasses channel for more videos.

[@Tentenszx]

Those next video are blocking the answers

[@livesabeloyt]

YOU A GOAT

[@siddhibhosale2393]

Thankyou so much sir😊

[@anime_naruto_3691]

Thank you, sir

[@celebritydotpk3094]

really helpful thanx man

[@Faujitravels]

Thank you so much ❤️❤️

[@rishima-du5nz]

Thankyou sir

[@会供価]

I have 5436.92. I dont know when I should stop. I have .92 = 1110

[@testingtechfn]

Dear this math last unit is wrong I think.001 is end point

[@aryabhandarkar3469]

after the last iteration the fraction would have repeated

[@truptidamodartrupti5483]

tq so much sir

[@sarahchasauce935]

thank u u r my hero

[@classicaf]

Thanks alot sir

[@arpitabiswas3924]

Thank you soooooooo much

[@ZahidHussain-bx5sh]

Fabulous...

[@EnggClasses]

Much pleasure and you are most welcome.

[@davinderkaur8940]

Thank you

[@biskotbinmikaelson4726]

keep goinggg

[@khalidmkhan]

It's just that beginning part. But, the rest is good.

[@Harindu101]

tnx bro

[@abhisekjha3275]

Ty!🙏...

[@josueaganze2653]

thanks is easy
😄

[@nikhilgosavi4199]

Thanks

[@adarsh4615]

Thanku sir

[@shisherj984]

I love you sir

[@xZero_.]

Thx

[@antoniogasperini6793]

thankkkksssssss

[@sunilsrivastava3078]

01011 answer is coming

[@foufouthksefouskwth2771]

i love u

[@ganiyt7961]

😊😊😊😊

[@manishkumaryadav4325]

Hii bro

[@kamleshwarsingh4996]

Bye

[@__uday_96k]

Hindi main bolo

[@akshatsharma_iiti]

tw

[@chetanmajumdar7982]

Thank you

[@ravindudewminda2482]

Thanks sir