Floating Point Numbers | Fixed Point Number vs Floating Point Numbers
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8 ماه پیش
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In this video, the difference
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.
#allaboutelectronics
#digitalelectronics
#floatingpointnumbers
#numbersystem
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@allaboutelectronics
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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.
#allaboutelectronics
#digitalelectronics
#floatingpointnumbers
#numbersystem
Support the channel through membership program:
@allaboutelectronics
--------------------------------------------------------------------------------------------------
Follow my second channel:
@allaboutelectronics-quiz
Follow me on Facebook:
Facebook: ALLABOUTELECRONICS
Follow me on Instagram:
Instagram: all_about.electronics
--------------------------------------------------------------------------------------------------
Music Credit: http://www.bensound.com
8 ماه پیش
در تاریخ 1402/09/04 منتشر شده
است.
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