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

C, usability of union

usability of union

System for an online furniture shop, As an XML expert you are needed to mod...

As an XML expert you are needed to model a system for an online furniture shop. After an interview with the shop manager you have the certain information: The detail of th

Personal computing environment, Reply and discuss the role of the SAS 70 re...

Reply and discuss the role of the SAS 70 report in reviewing internal controls. Provide publicly available examples of SAS 70 reports and explain. Problem Discuss the

What are two verification points for use with web sites, 1. Use the Web Sit...

1. Use the Web Site Scan verification point to check the content of your Web site with each revision and make sure that changes have not resulted in defects. 2. Use the Web Sit

Power supply in computer system, Q. Power supply in computer system? Co...

Q. Power supply in computer system? Computer operate electronically- either by power supply attained from your electric plug or batteries in case of portable computers. Though

Explain about hyper-threading, Q. Explain about Hyper-threading? Non th...

Q. Explain about Hyper-threading? Non threaded program instructions are executed in a single order at a time until the program completion. Presume a program have four tasks nam

What is magento, Magento is a feature-rich eCommerce platform built on open...

Magento is a feature-rich eCommerce platform built on open-source technology that gives online merchants with unprecedented flexibility and control over the look, content and funct

Describe the roles of association, Describe the roles of association No...

Describe the roles of association Note that each association has roles. For instance, in Figure we can see that two classes, Student and University, have their predefined roles

Build and explain a prototype model-uml, International Coal Coal-fire...

International Coal Coal-fired Power Generation Compared with other fossil fuels, burning coal produces relatively large amounts of atmospheric pollutants: carbon dioxide

Explain about dual in line memory modules, Q. Explain about Dual In line Me...

Q. Explain about Dual In line Memory Modules? A DIMM is capable of delivering 64 data bits right away. Usual DIMM capacities are 64MB and up. Every DIMM has 84 gold patted conn

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