Explicit vs. Implicit Normalization of Floating Point Numbers

COA: Explicit vs. Implicit Normalization of Floating Point Numbers
Topics discussed:
1. Problem with Explicit Normalization.
2. Solution provided by Implicit Normalization.
3. The difference between Explicit and Implicit Normalization.

Music:
Axol x Alex Skrindo - You [NCS Release]

#COAByNeso #ComputerOrganizationAndArchitecture #FloatingPointNumbers

[rishirajkumar]

You make studying a lot easier by putting so much efforts in your videos

[saketkumar]

Thanks for putting this much effort in making these videos

[xavierdsouza]

You are the reason why I started thinking on every concept 😊..thanks you are my guru

[jonbyte]

You said the bias value is 8 for the example you have shown, but shouldn't it actually be 7? If there are four bits for the exponent that means the maximum value is 15 and floor(15 / 2) = 7. Is my math correct here or am I missing something? For example, if the stored exponent value is exactly 15 then the result would be E - B = 15 - 7 = 8 and if the stored exponent value is 0 then the result would be E - B = 0 - 7 = -7; so the actual range would be -7 to 8?

EDIT: I suppose the way you are doing it the actual range would be -8 to 7, but which form would an IEEE754-like number follow?

[priyankasomvanshi]

Awesome explaination man...thanks a lot

[stutinarayan]

Wow cleared every doubt.. thankyou sir❤️

[biswaranjanmaharana]

Sir why these values are only stord in 10

[pranavyedla]

for every question should we use excess 8 biasing ?

[mauriciobainycuri]

I have a question: what determines whether bias is positive or negative, that is, E = 3 + 8 or E = 3 - 8?