Define range which a normalised mantissa can signify, Computer Engineering

Assignment Help:

Now let's define range which a normalised mantissa can signify. Let's presume that our present representations has normalised mantissa so left most bit can't be zero so it has to be 1. So it's not required to store this first bit and it's being presumed implicitly for number. So a 23-bit mantissa can signify 23 + 1 = 24 bit mantissa in our representation.

So smallest mantissa value can be:

Implicit first bit as 1 followed by 23 zero's which is   

0.1000 0000 0000 0000 0000 0000

Decimal equivalent = 1 × 2-1 = 0.5

Maximum value of mantissa:

Implicit first bit 1 followed by 23 one's which is 

0.1111 1111 1111 1111 1111 1111

Decimal equivalent:

For finding binary correspondent let's add 2-24 to above mantissa as below   

Binary: 0.1111 1111 1111 1111 1111 1111

2297_Define range which a normalised mantissa can signify.png


Related Discussions:- Define range which a normalised mantissa can signify

Differences between internal and external fragmentation, Explain the differ...

Explain the differences between Internal and external fragmentation. Internal and external fragmentation (1) While memory allocated to a process is a little larger than th

Explain subscriber access to strowger systems, What are the basic approache...

What are the basic approaches to the design of subscriber access to Strowger systems? Describe them. A step by step switching system has three main parts as demonstrated in fig

Self-perception, Mr. X seems to view himself in positive terms (MMPI-2: Ho=...

Mr. X seems to view himself in positive terms (MMPI-2: Ho=38) as a well-functioning person who is capable of dealing with his life and personal challenges (MMPI-2: LSE=41, TRT=39),

Optical storage - computer architecture, Optical storage - computer archite...

Optical storage - computer architecture: Optical storage, the distinctive Optical disc, stores information in deformities on the surface of a circular disc and reads this info

What are the central interfaces of the r/3 system, What are the central int...

What are the central interfaces of the R/3 system? There are three central interfaces:- Presentation Interface. Database Interface. Operating system Interface.

OS, why we say OS is a resource allocator and control program

why we say OS is a resource allocator and control program

Describe the micro programmed control unit in detail, Describe the micro pr...

Describe the micro programmed control unit in detail. A micro programmed control unit is built around a storage unit is known as a control store where all the control signals a

Define about hyper-threading technology, Q. Define about Hyper-threading te...

Q. Define about Hyper-threading technology? Hyper-threading technology enables a single microprocessor to behave as two separate threaded processors to operating system and app

Explain the isa and hasa class relationships, How would you implement each ...

How would you implement each in a class design? Ans) A specialized class "is" a specialization of another class and, thus, has the ISA relationship with the other class. An Em

Prove, state and prove distributive law?

state and prove distributive law?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd