Floating Point Numbers | Fixed Point Number vs Floating Point Numbers

In this video, the difference between the Fixed Point and Floating Point Representation is explained. And how very large or very small numbers are stored in a computer using the floating point representation is explained. Also at the end, how to represent any Binary number in Floating Point representation is explained through examples.
Fixed Point Representation:
In Fixed Point Representation, the position of the radix point remains fixed. Because of the fixed radix point/ decimal point, for a given number of bits, the range of Binary numbers gets restricted.
Using 16 bits or 32 bits, in a fixed point representation, it is not possible to represent very large or very small numbers.
Floating Point Representation:
In Floating Point Representation, the position of the radix point / Binary Point is dynamic. Therefore, it is possible to represent very large or very small numbers.
The floating Point Number representation is similar to the scientific notation used for the decimal numbers. It is a normalized representation.
In Floating Point Representation, there is only a significant digit before the Binary point.
The floating Point Representation consists of 3 parts.
1) Sign
2) Significand
3) Exponent
In this video, how to represent any Binary Number in a floating point representation is explained using the examples.
Check out the other useful videos related to Digital Electronics (Playlist):
• Digital Electronics
The following topics are covered in the video:
0:00 Introduction
0:44 Fixed Point Numbers and their limitation
6:41 Floating Point Number Representation
This video will be helpful to all the students of science and engineering in understanding how very large or very small numbers are stored in a computer using the floating point number representation.
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[@ALLABOUTELECTRONICS]

Check this playlist for other useful videos related to Digital Electronics: bit.ly/31gBwMa

[@poojashah6183]

Amazed every time with up to the mark explanation. The video quality is amazing. The knowledge you have is purely a bliss❤

[@mayurshah9131]

Very well explained 🎉🎉

[@2garin154]

very helpful and well-put video! thank you!

[@NOOR-dy6yn]

Thanks Sir

[@mrscience8076]

Means sir if we want to repesent +7 in sign 0111 in 1's 0111 and in 2's 0111 aise hi represent hoga sir

[@ALLABOUTELECTRONICS]

Yes. For more info, you can watch this video on 1s complement and 2s complement. kzbin.info/www/bejne/g6a4n5mcftWLbbssi=5EIWSDzwHMZNBvL4

[@amarsinghsidhu7028]

Awesome

[@cyrilemeka6987]

Thanks

[@RakeshNarthu]

Sir can u tell me how to convert fixed point data to float data.

[@rahulkumarsharma6084]

Excellent information 👍 @04:43, the minimum fractional part is 2^-4 but it should be zero if we have 0 at all the boxes ( 0 * 2^-1 + 0 * 2^-2 + 0 * 2^-3 + 0 * 2^-4 = 0 ) . how is minimum value 0.0625. Pls clarify

[@ALLABOUTELECTRONICS]

Here I am referring to the smallest number greater than zero. That is why, in this case, the minimum smallest value is 2^-4. I hope, it will clear your doubt.

[@mrscience8076]

In 1's complement you said positive number same in all three representation sign,1's,2's complement but representation of positive number will be differ. I am not understanding

[@ALLABOUTELECTRONICS]

In 1s, 2s or sign magnitude form, the representation of positive numbers will be same but the representation of negative numbers will different. Meaning that, in all the representation, positive number will be represented same way.

[@mrscience8076]

Means sir if we want to repesent +7 in sign 0111 in 1's 0111 and in 2's 0111 aise hi represent hoga sir ?