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

Explain ones complement operator, One's Complement Operator: ~ The one'...

One's Complement Operator: ~ The one's complement operator, sometimes called the "bitwise complement" or "bitwise NOT" operator, produces the bitwise one's complement of its op

Operating systems Hw, Need help in class assignment !! i have only 24 hours...

Need help in class assignment !! i have only 24 hours!!

What is the working set of a process, What is the working set of a process?...

What is the working set of a process? The set of pages that are referred by the method in the last "n", references, where "n" is called the window of the working set of the pro

Illustrate an object model for university system, An object model for unive...

An object model for university system Establishing relationship among various classes in the system is the primary activity. Here, we have a simple model of a University System

Determine the equivalent in octal of decimal number, Convert decimal 153 to...

Convert decimal 153 to octal. Equivalent in octal will be ? Ans. (153) 10 = (231) 8

Unity - variety - principles of composition, Unity / variety Unity is ...

Unity / variety Unity is created by the use of elements that look like they belong together, in other words the piece will have a feeling of internal  consistency. The most

What is an i/o interface, What is an I/O Interface? Input-output interf...

What is an I/O Interface? Input-output interface provides a method for transferring binary information among internal storage, like memory and CPU registers, and external I/O d

Explain a scheme of capability list to implement protection, Describe the s...

Describe the scheme of capability lists to implement protection? Capability lists (C- lists): These lists are utilized to make sure that uses only access files that are e

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