HOW TO: Convert Decimal to IEEE-754 Single-Precision Binary

Quick links:

0:35 — Convert 45 to binary
1:59 — Convert 0.45 to binary
4:46 — Normalization
6:24 — IEEE-754 format
7:28 — Exponent bias
10:25 — Writing out the result

[thornclawofwarriors]

"If you were going to get a hundred on the exam, you wouldn't be watching this video"
OUCH, LOL.
I know its the truth, but still... ouch.

[DragonDePlatino]

Thank you so much! This was an immense help and I wasn't able to find such a straightforward explanation anywhere else.

[EMMIR_KC]

The best video i've seen discussing this topic so far!

[JayoomJay]

In case someone is wondering why there is a need to use bias. It is to make fast magnitude comparison of floating point numbers possible in hardware.
By using a bias we are effectively avoiding the need to store the exponent as negative numbers. If we had allowed the exponent to be stored as negative number (probably as a 2's complement), then during the occasion when there is a need to compare two exponents of two FP numbers, we need to obtain the magnitude of the 2's complement representation of the exponent by performing the 2's complement (need CPU cycles) operation (this is how you obtain the magnitude of a negative number represented in 2's complement form. If the number was represented in sign magnitude form, bits other than the sign bit would have directly given the magnitude) So if there is a bias, we can just forget about the negatives and just compare the bits of two exponents and say which one is larger.

[andrewthompson]

dawg this was the best explanation I've ever heard

[mrarcticaaa]

Thank you so much. I definitely wouldn't be able to graduate without youtube. I'm glad I'm studying university at this decade :D

[Yunho_Park]

woah woah I didn't ask to be personally attacked watching a youtube tutorial video lmao

[alexbourlis]

love your way of explaning mate, i think you meant the only way to score 100 is to watch your video ;)

[johnrex]

That video will help me to get 100/100 on exam. Thanks from Poland

[heron_]

This was the best explanation ever. Why couldn't my professor break it down this simply. Thanks for this video.

[vinayak]

Watching this from India- there's like hundreds of tutorial vids on this topic from Indian channels and none is half as good as this one.
Thanks a lot sir :D

[saturdaysportscentral]

Watched this for my exam today, no way you had the right to drag me like that😭 1:17

[standinonstilts]

Ma boi steven roasting these kids expecting him to be perfect, love it

[gballistic]

You're a legend. Best video about IEEE-754 on youtube.

[mitchallcowell]

this saved my ass before an exam, great video

[TheFlyguy]

Definitely the best 'pencil-pen' i've seen.

[LaplacianFourier]

WHOA... when some guy out of a billion in the internet you've searched is using the same pencil as you.... pffssshhh MIND BLOWN!

[edwinsanchez]

"If you were going to get 100 on this exam, you wouldn't have to watch this video. Anyway-" 1:23. Did not need to do us like that my man

[ns_down]

Saving me for my final exams mate, thank you.

[volodymyrz]

Thank you, Steven, it help me to understand IEEE 754 much more better than others!