View by Category

Loading...

PPT – Number Representation Fixed and Floating Point PowerPoint presentation | free to download

The Adobe Flash plugin is needed to view this content

About This Presentation

Write a Comment

User Comments (0)

Transcript and Presenter's Notes

Number RepresentationFixed and Floating Point

- No Method Capable of Representing ALL Real

Numbers Using Finite Register Lengths - Must Use Approximations to Represent Values
- Concentrate on Two Forms
- Fixed Point
- Floating Point
- Others are
- Rational Number Systems uses ratios of integers
- Logarithmic Number Systems uses signs and

logarithms of values

Fixed Versus Floating Point

- Fixed Point Values Represent Values where Any Two

Differ by 1 unit in the last place (ulp) - Equal Spacing Between Numbers
- Floating Point Values Use Two Multi-Bit Words
- Mantissa
- Exponent
- Both Forms Must be Capable of Representing Signed

Quantities - Fixed Point Values CAN be Used to Represent

Fractional Quantities

Floating Point Characteristics

- Total Number of Representations Total Bit

Strings - For n-bit Register we have 2n
- Range of Value is Larger than Fixed Point
- Precision of Value is Smaller
- Distance Between Two Consecutive Values Increases

Floating Point

s

e

m

s Sign Bit (signed magnitude) e Exponent (in

2s Complement Form) m Mantissa (significand)

mMAX1 - ulp 0,1)

hidden bit

float BIAS 127 (32 bits-23 for m and 8 for

e) double BIAS1023 (64 bits-52 for m and 11

for e) Sign of Exponent is Complement of its

MSb Thus, adding/subtracting bias is just

complementation of MSb

Floating Point Example

double 00000000 bfe80000 Big Endian MSW has

Higher Address

s

m

e

1 011 1111 1110 1000 0000 0000 0000 0000 0000

0000 0000 0000 0000 0000 0000 0000 0000

s 1 e 1022 m 0.5 Value (-1)1?1.5

?2(1022-1023) Value -(1.5)(0.5) -0.75

Floating Point Normalization

- Redundant /representations are Possible!

- Hidden Bit Helps
- Out of All Possible Representations, Choose One

With Fewest Leading Zeros in Significand - This is Normalization
- After Performing Arithmetic, Normalization Must

be Accomplished

Floating Point Special Numbers

Denormalized Numbers

- Allows for Gradual Degradation for Underflow

About PowerShow.com

PowerShow.com is a leading presentation/slideshow sharing website. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. And, best of all, most of its cool features are free and easy to use.

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

You can use PowerShow.com to find and download example online PowerPoint ppt presentations on just about any topic you can imagine so you can learn how to improve your own slides and presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

presentations for free. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. That's all free as well!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

Recommended

«

/ »

Page of

«

/ »

Promoted Presentations

Related Presentations

Page of

Page of

CrystalGraphics Sales Tel: (800) 394-0700 x 1 or Send an email

Home About Us Terms and Conditions Privacy Policy Contact Us Send Us Feedback

Copyright 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

Copyright 2014 CrystalGraphics, Inc. — All rights Reserved. PowerShow.com is a trademark of CrystalGraphics, Inc.

The PowerPoint PPT presentation: "Number Representation Fixed and Floating Point" is the property of its rightful owner.

Do you have PowerPoint slides to share? If so, share your PPT presentation slides online with PowerShow.com. It's FREE!

Committed to assisting Msstate University and other schools with their online training by sharing educational presentations for free