Floating Point Representation: Biased Exponent : Example

Learn via an example how to represent a base-10 number as a floating point number in base-2 with a biased exponent.

Category:

Education

Tags:

• floating
• point
• biased
• exponent
• example
• numerical
• methods

[axydlbaaxr]

How does 2 to the power of 3 (6:22) become 3 (6:53)?

[numericalmethodsguy]

@axydlbaaxr The 3 at 6:53 is still the value of the unbiased exponent.

[leviterande]

our teacher is a reaaaaaal asshole, he wanted us to convert from decimals to flaoting points.. in the first lecture of thecourse and we still learning in the begineing. wtf is flaoting point anyway.. I cannt get it

[numericalmethodsguy]

Please do not use bad language. Floating point is called floating because the radix point (decimal point for base-10) is floating. For example 234.56 is written as 2.3456E2, see the decimal point floated to a different place.

You need to start learning this from the beginning. See the playlist "Floating Point Representation" on my channel.

[numericalmethodsguy]

Your instructor may be showing the representation where there is a bit for the sign of the exponent.

Go to the playlist on Floating Point Representation on the numericalmethods guy channel and you will see a video on that under "Floating Point Representation: Example"

[numericalmethodsguy]

No I do not teach probability.

[RGDCaliber]

Fantastic



[nightowl2244]

Wow, this tutorial was awesome!

Now I only need to figure out what are normalized and denormalized values.

[taostoner1]

numerical methods guy is a boss

[missdaizee7]

thankx as i got my confusion cleared :)

[hacksign000]

thank you soo much :) I could neer understood my lecturer

[simthadim]

Thanks a million for posting this on the web!

Real clear explanation, just what i needed.

[Mubasher77]

what about the +ve smallest and largest numbers and for the largest +ve and -ve numbers? its very threatening..f