Converting Binary to Floating Point Number - How To

After learning this in my Computer Science 3-4 class I thought a tutorial would help clear things up. I had trouble finding the right tutorial and I hope this one helps.

[TheMjoDoj]

Thanks for getting me in the right direction but you the bias is 127 and the notation you started with is the bit representation. The 1 is added in and remains a 1 into decimal notation. The decimals in the decimal notation is a result of the mantissa alone with out the extra 1.

[SlashU]

man im starting to learn this too. Its cool that you want to share what you know with us and all, but next time make sure that what you are teaching is correct.

[perodactyl]

According to my textbook, you have to add the bias of 127, not 128 as you indicated

[dorplein]

So why are you subtracting 128 from the exponent, instead of 127 in the video ?

[Haythim]

The answer is wrong, 11001001 01110000 converted to decimal is -983040

What you actually converted was 11001000 01110000 which becomes -245760 in decimal. The difference is in the 8th bit.

[s.u.]

at frame 3:18 you shouldnt be adding the .0625. You should only be using the other 3 which add up to .875 not .9375 Also for the exponent it should be 146 -127 = 19. Ultimatly you get -983040 for answer.

[dickie]

For new people coming to this video, the answer is wrong. That's why there are so many downvotes.

[kohlrak]

"You need a calculator for that? Seriously!?" for the exponent.

[jugalgore]

what if we have to convert 110101.101000 to decimal.. ??
plzz reply and help me fast.. exams from tomorrow..

[naraku]

according to an online calculator, equals -983040.0
you made a mistake with your exponent

[Sxhd]

wtf are you talking about? You did a terrible job at explaining where the numbers came from when calculating the mantessa. like what tf are the 0.5 + .25....

[jjmandasaur]

this was a pretty bad how - to... mannnn...