Converting Decimal to IEEE 754 Floating Point Single Precision

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This is the method for converting decimal fractional numbers to single precision floating point for the IEEE 754 standard. I walk through doing it forward and in reverse.
calculator: www.h-schmidt.net/FloatConvert...

[@OmegaSlaughter]

Thanks man, you rescued my homework exercises. Somehow it is rare to find really precise explanations on this topic. Or maybe I didn't search well? Whatever, it is all clear now!

[@jaker9007]

The only normal tutorial on IEEE754 on KZbin

[@ahmedelmenan895]

thx a lot the most clearest video which explain IEEE Standard 754 Floating Point Numbers with a simple way keep it up man

[@khalpin11]

Thanks man. Easily best explanation on youtube. Wish i found it earlier

[@sarangajayaruwan4611]

This is the best explanation. Thank you!

[@TheToeIsUp]

Great video, you explained it perfectly. Thanks.

[@hassanurrehman3605]

Best toturial for conversion ... awesome work

[@nopaallo1147]

Explained it very well, thanks!

[@fetterkeks2796]

Thanks, this was perfect!

[@zoedesvl4131]

Just thank you for the on-the-point explaination!

[@TheSimpleEngineer]

Cool man, glad it helped

[@sauer.voussoir]

Thank You for this!

[@David-cz8yf]

nice one. very clear. thanks a lot !

[@nuratierahnorazman4790]

Thanks bro. you helped me !!

[@charteuxheart]

seriously, you are so much better than my teacher, tks a lot.

[@carlsenawo3256]

thank u so much . i really like your video. u really made it look so easy

[@ybleon7131]

great explanation!!

[@mohubeduabram3896]

thanks..i found it easy within a minute

[@gersonarcanjo7403]

Thank you so much, i'm from Brazil and this video helped me way more than videos of my own language! 🤣🤣🇧🇷

[@sezerozer382]

you explained it very obvious thanks a lot .

[@superusr]

Thanks dude

[@mohammadladha786]

Could someone tell me how to go about this conversion if the result of the exponent minus 127 is zero?

[@khomidovsirojiddin1154]

Thank you.

[@danfoley2024]

Thanks mane

[@daveruban282]

How can you write a program in c using array and truncated function to get a decimal number and convert it to IEEE754

[@williamhjelm9826]

thank you i love you

[@redhedgehogx4076]

I dont quite follow for the matissa, you mention to add 13 extra zeros. However you added the zeros on the right side of the binary number which just increase the binary number by 2^13. Dont you have to add the zeros on the left side of the matissa so that the value stays the same?

[@bhargavrabha220]

What is the difference between float point single precision and single precision binary?

[@hardiktrivedi690]

Nice video, can you tell me the song name which played at begging

[@varuntaneja4654]

if exponent is negative than what the change?

[@patricksinha4343]

what's the name & artist of the song at the beginning?

[@a.n.7338]

sir what if the bits to be stored in mantissa are 4 bits does that mean that the rest of the bits will be all zeros???

[@shailusrivastava468]

thanks a lot sir

[@TheSimpleEngineer]

You're welcome!

[@ankansharma4897]

you r awesome bro. got a awesome style of teaching. loved it man i want help in some more parts of computer organisation like memory organisation(direct mapping,cache memory) and in addressing mode, instruction set also. my concept on micro program and c.u is also not clear

[@BilalMurtaza10]

What if the exponent I'm getting is 7 bits instead of 8? Error in calculation?

[@sporech9374]

4:05 I'm a bit confused, how can you drop the one? Is the number not the same afterwards?

[@hugomonterrubio197]

fire intro music

[@hugomonterrubio197]

Do a video on binary division/multiplication please! Good video btw

[@psawyer871]

love this guy!

[@kamaldhakal834]

what to do when we need to convert decimal integer without fractional part?

[@nealroddy9088]

At the expense of potentially sounding like an idiot, I believe I have an answer for you. If you just had an integer (say 147 as per the example above) it would just mean there was nothing left to convert. If 147 equals 10010011 in binary, then the decimal is at the same location (at the very far right) of the binary number. Everything in the above example would be the same except for the 101 that was the conversion of .625; it would just not be included within the mantissa. That is how I have come to understand it, but I may be mistaken.

[@MrRafay474]

if there was -147.625.then the only change we have to made is to replace sign bit with 1 am i right ????????

[@Ericake]

what about negative numbers???

[@abdulfaizalkhan930]

Dear Sir, can you please explain that where did you got the 101 in step 1 after the decimal point.

[@tonyb46qqq55]

Great great video. Q: the hex you used is exactly 32 bits, but what if the number we want to convert to is greater than 32 bits. Do we use the double precision? Please make another video to explain double precision, this video really helped.

[@aaronvr_]

why do you drop the one though? it just seems counter-intuitive to me... does that result in some distortion of binary representations?

[@lonewolfx9040]

you sound like the organicchemistrytutor :O

[@VishalGoyal-vp5yj]

#include int main(int argc, char const *argv[]) { float a = 1.1; if(a==1.1) printf("if"); else printf("else"); } The output of the above program will be : "else"CAN U EXPLAIN THIS WHY

[@AXonMan]

it's because the number 1.1 cannot be correctly written in computer memory, because the base being used is 2 and not 10, and when it's converted back to 1.1 errors in rounding happen. to avoid this you can use a really small constant (example 0.00001) or, i don't know if it's supported in C, but in C++ you can use the machine epsilon for the type you need, in your case float, which can be found in the library limits, so instead if(a==1.1) you use if(abs(a-1.1)

[@xainkhan1939]

please help me how to solve 0.0000062869??????????????????????

[@happyguy1786]

omg i am f tomorrow in test

[@marino4691]

why is 0.625 = 101 ???

[@marino4691]

***** got it! thanks man! and i passed my exam about this stuff :D

[@HoD999x]

@@marino4691 i know i am late but 101 = 1/2 + 0/4 + 1/8 = 0.625 (for those who were wondering)

[@hilbert14]

127 + 7 ??? wtf