Converting Decimal fractions to Binary

The conversion from Decimal Fractions to Binary is been explained with an example.
WATCH NEXT: Decimal Fractions to Binary(Ex. 2) • Decimal fractions to B...
The method of successive division is used to solve the numerical.

[@mohandalansari534]

crazy how one video sums up 3 days of work. I should have found you the day before yesterday

[@heroicrhythms8302]

it turns out that some fractions don't have actual binary representations, they are just approximations like the one above

[@HL-iw1du]

You could represent it with a repeating sequence of 0's and 1's after the decimal point

[@DanielOliveira-dn2zp]

Thanks so much, friend! After several videos, you are the only one who explains how to deal with the endless question. Great job!

[@JossoJJossoJ]

Actually the decimal part is similar to the integral part but instead of dividing by 2, it's dividing by 1/2 and switching the roles of quotients and remainders.
The result is read top-down instead of bottom-up.

[@adnaneazami920]

thank you kind sir, i couldnt pass the exam without ur meaningful and enlightening teachings, i shall remember this day forever, glory to india

[@ohnsonposhka9891]

wow

[@Mai-rr4cr]

thank you for your amazing video and explanation, you made it very clear and understandable!!

[@EnggClasses]

Thanks for your appreciation. Subscribe to the channel for more videos.

[@alphymia5607]

I did not know it was this simple.. thank you so much sir

[@anthonyrosas2055]

This video is god-sent! Thank you!

[@NIKITA-dm2kf]

Wow... You made it so easy to understand😮

[@Niru_24105]

really easy, Thankyou sir my whole concept is clear

[@EnggClasses]

Thank you Aman. My pleasure.

[@carlojamessaladaga7912]

u should divide the 1 multiply which is equal to 0 but the reminder is 1 so the decimal is 10101

[@PoojaRani-db2hy]

Thank u for such a wonderful explanation I understood very easily 😊🙏

[@atinyff3827]

Sir .. I have a doubt !!! Can we stop at the part where we have to multiply 0.4 with 2 because we can already predict that it's gonna repeat !

[@EnggClasses]

Thanks for the comment Bindu. Yes one can stop at that point.
Sometimes in the numerical itself they mention carry out 5 iterations something like that.
If nothing is mentioned, you can stop at that point, where one feels it's going to be repeated.

[@atinyff3827]

@@EnggClasses Thank you so much ☺️

[@EnggClasses]

Stay subscribed for more videos.

[@folshed5713]

This makes sense now thank you. Textbook don’t explain it like this

[@EnggClasses]

Thank you so much. Where are you from and what do you study?

[@folshed5713]

@@EnggClasses I’m studying Computer Science rn

[@kwamemanuadu-wilson4060]

This is even helpful in 2021 Thanks a lot

[@EnggClasses]

My pleasure. You are most welcome.

[@blueoldvan7919]

Thanks sir for such a nice video🙆‍♀️
You have cleared my doubts, really thankful
Please make more videos on numerical questions.👍

[@EnggClasses]

You are most welcome.. What kind of numerical you want me to solve, let me know.
Subscribe to the channel EnggClasses for more such videos.

[@Chris-nq3ri]

Needed for Computer Architecture class thanks man

[@JAY-mg5vi]

This video was super helpful ❤️🙏

[@EnggClasses]

Glad it was helpful!
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[@nickykumari2557]

Nice explanation😊🎉❤

[@mungunzayaganbat6364]

I want to convert 0.088 or 0.018 to binary until the second repeat but i couldnt find repetition for both of them. It is endless. How do i know when to stop when i cant find the repetition?

[@viralviruz8694]

I needed this ❤️

[@muhammadtalha8805]

Hi Hope you're doing great. Thankyou for sharing this video. Lots of prayers from my side.

[@EnggClasses]

My pleasure. You are most welcome.

[@selvarajkarthi5311]

Superb explanation sir

[@ishika5795]

Sir is there any limited digits to be there after decimal?

[@Aditya-qb1to]

Thanks sir for such a nice video

[@hustlinglegend2399]

Superb bro ur Rocking I understood what you thought. It helped me a lot for my exams preparations.

[@EnggClasses]

You are most welcome.

[@reallysumeetz]

This cleared my confusions at a single shot❤️❤️

[@EnggClasses]

I'm glad that it really helped you Sumeet
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[@mekhaterrence6246]

You're a savior!!! Thank u

[@sabarehman37]

Sir... After lcm we had 0 at the end... So why we have taken 1 in the start?
Plz tell me

[@nkwainemera9542]

Wow I Love the explanation

[@mehmetdogu384]

great explanation.

[@EnggClasses]

Thank you.

[@zish3655]

Thank you my G.

[@kalwizhikapalu-tw5fn]

Useful video❤❤❤

[@sidhanthasok2923]

Thank you sir it helped me a lot

[@EnggClasses]

You are most welcome Sidhanth. Subscribe for more videos.

[@nkwainemera9542]

It has really helped me out 🥰🥰🥰🥰

[@suhailbhatia8038]

Thank you very much sir..this concept I will never forget now.

[@EnggClasses]

My pleasure Suhail.

[@suhailbhatia8038]

@@EnggClasses sir please solve the fraction part 111.121 (decimal into binary)

[@humairasiddiqui9248]

@@suhailbhatia8038 sir ko itna bhi pleasure nhi aa rha ki tumhare questions solve kar de 🙂

[@ANSHUL_G1]

@@humairasiddiqui9248 bhut bdia😂😂🤣😂🤣😂🤣😂

[@ANSHUL_G1]

@@suhailbhatia8038 bhai ek bar tune bola kbi ni bhulega ab bhul bi gya

[@sohaibrashed7991]

Sir what if its 21.101....will we take the whole value after dot or only 1?

[@EnggClasses]

Thanks for the comment Sohaib. Yes, you need to take the whole value after dot. In the example you mentioned the iterations go like this.
.101*2 = .202
.202*2 = .404
.404*2 = .808
.808*2 = 1.616
.616*2 = 1.232
.232*2 = .464 and so on...
Hope this helps Sohaib.

[@EnggClasses]

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[@darkbeast1183]

Thank you very much sir, this video helped me a lot 🙂💓

[@1yarob]

thank you my friend!

[@gelccc]

YOU JUST SAVED ME

[@EnggClasses]

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

[@softmusic6234]

Thank you so much sir

[@adithya4804]

What if you get 2 as the integer?

[@vikasmourya1852]

Thank you so much 🙏

[@emirhan2070]

Indian people really doing this job

[@user-fr9gi3ww8y]

Because they created zero

[@emirhan2070]

what is ur name
@@user-fr9gi3ww8y

[@amanullahchandio2320]

Thanks alot ♥️

[@vivishadhik9936]

Thank you 😊 !!!

[@EnggClasses]

You are welcome Vivish. Subscribe for more videos.

[@nitinrajput9194]

Jo aaj Tak samaj nhi aaya that 5 minutes me samaj aa gya

[@EnggClasses]

Thank you so much Nitin.

[@EnggClasses]

More videos on Number systems can be found here
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[@mandeepkaurrandhawa6099]

Thanks sir 🙏🙏

[@cypriankumiamponsah452]

thanks so much

[@pawanpt2682]

can we also use bar in (.0001100)?

[@ArfatKhan-sb3xh]

Thank you thank you thank you so much😊😊❤️❤️❤️

[@vishnug3897]

1.17, after how many iteration/any condition to leave the process of iteration.

[@EnggClasses]

Thanks for the comment Vishnu. 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.

[@EnggClasses]

More video on Number Systems can be found here,
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[@vijayeetaacharjee7736]

@@EnggClasses thank you sir. You saved me just before my exam day.. 😅

[@EnggClasses]

My pleasure Vijayeeta, I'm glad that it helped you.

[@preparedfor3957]

​@@EnggClasses If nothing is mentioned then 5-6 iterations are ideal.
sir i have a doubt in my book they have taken the part upto 10 times multiplying in which we were not getting neither zero or nor get any pattern that keeps repeating. This has confused me, actually the QUESTION WAS CONVERT 0.638 INTO BINARY BUT HERE NO REPETITION IS THERE
THEN WHAT TO DO IN THIS CASE EITHER FOLLOW YOURS THEN ANSWERS WILL NIT MATCH WITH OUR BOOKS IF WE ARE FOLLOWING BOOK THEN WE ARE CONFUSED!!!!!

[@kaneki1018]

Thank you sir

[@EnggClasses]

You are most welcome.

[@EnggClasses]

More videos on Number Systems can be found here:
Hexadecimal fractions to DECIMAL ua-cam.com/video/vEpTyBzckU4/v-deo.html
Conversions between DECIMAL and BINARY numbers ua-cam.com/video/ScG_I6GOLv8/v-deo.html

[@mevlutkelle4083]

why do you stop at 0.8?, my speaker dont work so i cant hear you , nor you did subtitles, so can someone explain?

[@bankeybihari6035]

Sir, binary number mein point missed hai usey rakh do ya niche pin kardigye... Thank You!!

[@03albinc.v42]

Good 📢

[@mrperfect1314]

Thank you

[@EnggClasses]

My pleasure. Subscribe to the channel EnggClasses for more videos.

[@agrimpuriya2585]

Cool vid, the method was easier than i thought.

[@EnggClasses]

Thanks for the comment. Watch out for more videos on Number Systems from EnggClasses, you may like them too.
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[@kavyadrawings5102]

Thanks sir💐💐👍😀🙂👌👏

[@EnggClasses]

@@kavyadrawings5102 Thanks for the cooment..:)

[@heistygamerz1858]

@@EnggClasses you really explain very nicely bro 😎
Keep it up!

[@EnggClasses]

@@heistygamerz1858 Thanks for the appreciation.
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[@engineerisalive]

par decimal wala upper se niche and integer ones down to up me kyu likhna hota hai sir??

[@EnggClasses]

For integer parts they are represented as 2^0, 2^1, 2^2, 2^3 and so on.
For fractional parts they are represented as 2(^-1), 2(^-2), 2^(-3).
Hence inhe upper se niche aur niche se upper likhana hota hain.
Hope this helps.

[@engineerisalive]

@@EnggClasses nahi samaj aaya!

[@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.

[@RehanAbbasi]

Good job thank you.

[@EnggClasses]

Thanks for the comment Rehan.

[@RehanAbbasi]

@@EnggClasses Your This video solve my problem.
I m thankful to you.

[@EnggClasses]

I'm glad that it really helped you. Stay subscribed for more videos.

[@RehanAbbasi]

@@EnggClasses why not

[@asim7934]

Why cant we solve it like how we solve whole part? And who came up with this method can u explain the logical behind it like what's going on.

[@jaymalankiya8792]

Sir why are you multiply 0.1 with more number i think we should multiply only with 2 bcz we convert in binary number so

[@muhammadsalim4779]

Thanks so easy

[@EnggClasses]

Thanks for the appreciation Muhammad.
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[@razasayyed1999]

Thanks sir

[@EnggClasses]

You are welcome Sayyed. Subscribe for more videos.

[@palakyadav6436]

Can't we directly write 1's binary number

[@rrraaannndddom]

Tq u sir

[@thamsanqankomo9387]

helpful indeed

[@enasgirave5773]

Thanks

[@leelapravallikanandam5856]

Hello sir could u give reply for 205.05 for this fraction part

[@EnggClasses]

Here it goes..
0.05 * 2 = 0.1 ---> 0
0.1 * 2 = 0.2 ---> 0
0.2 * 2 = 0.4 ---> 0
0.4 * 2 = 0.8 ---> 0
0.8 * 2 = 1.6---> 1
0.6 * 2 = 1.2 ---> 1
0.2 * 2 = 0.4 and it repeats, you may stop here.
therefore, (0.05) = (.0000110) in binary.
Hope this helps.

[@leelapravallikanandam5856]

@@EnggClasses tq sir

[@ganesawildan4660]

help me sir how actually to stop the counting?
how it ended in 0.8?

[@kdkamanagaa3204]

Thanks for the comment Vishnu. 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.

[@whoknowsbb5705]

When do you stop multiplying?

[@EnggClasses]

Thanks for the comment.
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.

[@EnggClasses]

Subscribe to the channel EnggClasses for more videos on Digital Signal Processing.
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[@nituthakur5195]

How to convert this decimal number to binary (.625)base 10 plz sir reply

[@EnggClasses]

0.625*2 = 1.25 ---> 1
0.25 * 2 = 0.5 ----> 0
0.5 * 2 = 1.0 ------> 1
0.00*2 = 0 process stops.
Therefore 0.625 = 0.101 in binary.
Hope this helps.

[@nituthakur5195]

@@EnggClasses thank you so much sir.

[@EnggClasses]

Stay subscribed for more videos

[@annanyagairola2964]

how do u know where to stop after decimal

[@EnggClasses]

Thanks for the comment Annanya gairola. 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

[@annanyagairola2964]

@@EnggClasses yes thank you sir

[@abipolarporo2947]

thanks :)

[@Arjun70275]

Nice video but please make it faster

[@chayan8238]

why did you take 0.6 after getting binary digit 1

[@amrhassan5460]

Coz if u multiply 1.6×2 you'll get 3.2 and binary only includes 1 and 0

[@ahmedjahenzaib148]

the besttt

[@Fsp01]

brilliant

[@EnggClasses]

Thanks for the comment Fleming.
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[@HiThere-oq6hc]

How would u choose where to stop when u have the same digits repeating?🤔🤔

[@EnggClasses]

Usually around 5 iterations are recommended. If the digits are repeating, you may stop after 3 repeated digits.

[@HiThere-oq6hc]

@@EnggClasses oh thanks a lot

[@Shamantak_Bhattacharyya]

Thanku so much sir.i am a parent of class 7 child.ur video helped me to explain my child the same.

[@EnggClasses]

Thanks for the comment Sir. First of all, let me tell you that your child is very lucky to have a parent like you. I never had anyone to teach me, the way you do to your child.
I am glad that it really helped you and your kid. Thank you so much sir.
More videos on Number systems can be found here
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[@jaymalankiya8792]

Sir plz make video on (0.6875) desimal to binary number

[@mehtajbegum1323]

The multiplying one till how much we have to stop

[@EnggClasses]

Thanks for the comment Mehtaj. 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.

[@mehtajbegum1323]

@@EnggClasses Tq

[@harireddy2484]

Till the fractional part comes zero or else integer part becomes one.we can stop the process.isnt it?sir

[@EnggClasses]

That's correct Hari. Whenever fractional part becomes zero, then only integer can become one. You may stop the process.
Hope this helps.
Thanks again.

[@soumendrakumarghadai5988]

24.35 convert decimal fraction to binary fraction

[@dishakatiyar790]

This cleared my last one year confusion

[@EnggClasses]

I'm glad that it really helped you.
Watch more videos on Number Systems:
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[@Hamid.Khan223]

0-2*2=0.4 which is repeated so it is end

[@rajendrakarwa9432]

Thank you sir 😊

[@EnggClasses]

Thanks for the appreciation Rajendra Karwa.
More videos on Number systems can be found here
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[@sadiamanzoor1210]

Hello! I have a question to convert decimal into binary. I have done this with the help above method, but I am not sure if the answer is correct or not. Question: 0.625 decimal into binary. The answer is 0.101000110. Kindly, tell me the correct answer. I will be really grateful for this.

[@EnggClasses]

Thanks for the comment Sadia.
Here is the answer for your question.
0.625 * 2 = 1.25
0.25 * 2 = 0.5
0.5 * 2 = 1.0
0 * 2 = 0 and the process stops here.. therefore the answer is 0.101

[@sadiamanzoor1210]

@@EnggClasses Thank You very much, It helps me a lot. I got my mistake as I exceeded the answer and didn't stop at 0.5.. Thank you once again.
Have a nice day! :)

[@nitinrajput9194]

You are great sir

[@EnggClasses]

Thank you Nitin Rajput.

[@tanmayphalke6251]

Is only 1010 for integer part

[@aliR_123]

ur my boy

[@EnggClasses]

Thank you Ali Rasooli.
More videos on Number systems can be found here
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[@purnimanipandrakumar4360]

3:44 3:44 3:44

[@roselineofundem3082]

I don't understand

[@maskedman8368]

nyc vid yoo

[@pramodkumarshukla8222]

Pls make an other video I didn't uderstood properly

[@sanjaychoudhury1414]

Bro u have done wrong in the middle part

[@EnggClasses]

There is nothing wrong I feel. By the way whats that wrong?

[@merazulhasan402]

Didn't understand

[@muktajindal337]

Not understood nicely

[@EnggClasses]

Not understood? Let me know where you have trouble, so that I could help you.