All About Circuits Forum  

Go Back   All About Circuits Forum > Electronics Forums > Homework Help

Notices

Homework Help Stuck on a textbook question or coursework? Cramming for a test and need help understanding something? Post your questions and attempts here and let others help.

Reply   Post New Thread
 
Thread Tools Display Modes
  #1  
Old 08-10-2009, 11:30 AM
kit.kit44 kit.kit44 is offline
New Member
 
Join Date: Aug 2009
Posts: 3
Default Normalization and IEEE Standard notation

Normalization- A floating-point number is normalized if the exponent is adjusted so that the mantissa has a nonzero value in its most significant digit position
What is the meaning of 'its most significant digit position'

And then, How to think of the answers of the following questions?
In IEEE Standard notation,how would each of the decimal numbers be stored?
a 51.375
b -0.1

thx
Reply With Quote
  #2  
Old 08-11-2009, 01:40 AM
Ratch Ratch is offline
Banned
 
Join Date: Mar 2007
Posts: 1,068
Default

kit.kit44,

Quote:
..,What is the meaning of 'its most significant digit position'
In a number like 423, the most significant digit position is "4". It is the digit that defines the number the most. You would do well to read these links: http://steve.hollasch.net/cgindex/coding/ieeefloat.html and http://www.psc.edu/general/software/.../ieee/ieee.php . Note how the mantissa has a implied "1" in the left-most or most significant position, and the exponent has a bias of 127 decimal.

The floating point numbers in hex represented by the IEEE Standard 754 Floating for 32 bits are: 51.375 ---> 424D8000 and -0.1 ---> BDCCCCCD .

Ratch
Reply With Quote
Reply   Post New Thread

Tags
, , ,


Related Site Pages
Section Title
Worksheet Flip-flop circuits
Worksheet Binary math
Video Lecture Technical Notation - Basic Components and Technical Notation
Textbook Polar and rectangular notation : Complex Numbers
Textbook Quantum physics : Solid-state Device Theory
Textbook Decimal versus binary numeration : Numeration Systems
Textbook Hand calculator use : Scientific Notation And Metric Prefixes
Textbook Arithmetic with scientific notation : Scientific Notation And Metric Prefixes
Textbook Scientific notation : Scientific Notation And Metric Prefixes
Textbook Conventional versus electron flow : Basic Concepts Of Electricity


Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off

Forum Jump


All times are GMT. The time now is 12:31 AM.


User-posted content, unless source quoted, is licensed under a Creative Commons Public Domain License.
Powered by vBulletin® Version 3.8.7
Copyright ©2000 - 2014, vBulletin Solutions, Inc.