Binary number system using 8 bit registers, Computer Engineering

Assignment Help:

Q. Binary number system using 8 bit registers?

Add 25 and -30 in binary number system using 8 bit registers using:

  • Signed magnitude representation
  • Signed 1's complement
  • Signed 2's complement

Solution:

873_Binary number system using 8 bit registers.png

To do arithmetic addition with one negative number only we should check magnitude of numbers. The number having smaller magnitude is then subtracted from larger number and sign of bigger number is selected. Implementation of such a technique in digital hardware will need a long sequence of control decisions and circuits which will add and compare and subtract numbers. Is there a better substitute than this technique? Let's first try signed 2's complement.

815_Binary number system using 8 bit registers1.png

Now let's do addition using signed 2's complement notation:

349_Binary number system using 8 bit registers2.png

Please note how easy it is to add 2 numbers employing signed 2's Complement. This method requires just one control decision and just one circuit for adding two numbers however it puts on extra condition that negative numbers must be stored in signed 2's complement notation in registers. This can be obtained by complementing positive number bit by bit and then incrementing resultant by 1 to get signed 2's complement.


Related Discussions:- Binary number system using 8 bit registers

Explain LRU page replacement algorithm, Explain LRU Page replacement algori...

Explain LRU Page replacement algorithm. LRU policy: It expands to least recently use. This policy proposes that we remove a page that last usage is farthest from present time

Resetting the computer, Sometime you may have to reset your computer (i.e.,...

Sometime you may have to reset your computer (i.e., Reboot DOS) when it is still running because DOS does not work accurately. To reset your computer you have two choices: 1. P

Er diagrams, how can I draw er diagram for sell & storage section of a drug...

how can I draw er diagram for sell & storage section of a drugstore?

What is refactoring, What is refactoring? Refactoring is explained as t...

What is refactoring? Refactoring is explained as the changes to the internal structure of software to improve its design without changing its external functionality. It is an e

Define top-down parsing techniques, Define Top-down parsing Techniques ...

Define Top-down parsing Techniques Top-down parsing can be observed as an attempt to find left-most derivations of an input-stream through searching for parse trees using a top

Advantages and disadvantages of shared memory programming, Q. Show Advantag...

Q. Show Advantages and Disadvantages of Shared Memory Programming? Advantages of Shared Memory Programming Data sharing between processes is both rapid and uniform bec

Differences between a uri, Question: (a) Describe the differences betwe...

Question: (a) Describe the differences between a URI, a URN and a URL. (b) What are the five basic syntax rules for a well-formed XML document? (c) Provide four uses of

#title.physics, Describe the construction and working of michelson ...

Describe the construction and working of michelson iinterferometer.describe the formation of different types of fringes in Michaelson''s interferometer

What are controls and how to use them, What are controls? How to use them? ...

What are controls? How to use them? Give examples for control. Controls are objects that can be placed in a form. The dissimilar controls are available in the Tool Box. After

Design-centered virtual manufacturing, Design-Centered Virtual Manufacturin...

Design-Centered Virtual Manufacturing This gives manufacturing information to the designer throughout the design phase. In this observing the short term and long time definitio

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