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

Multiple layers of intranet security, Multiple Layers of Intranet Security ...

Multiple Layers of Intranet Security Security requirements vary from organisation to organisation. They also vary on the content that the organisations intend to place on their

Explain the virtual memory, In computing, virtual memory is a memory manage...

In computing, virtual memory is a memory management method developed for multitasking kernels. This technique virtualizes computer architecture's various forms of computer data sto

Perceptrons of artificial neural networks, Perceptrons: However the we...

Perceptrons: However the weights in any ANN are usually just real numbers and the learning problem boils down to choosing the best value for each weight in the network. Becaus

Representation in prolog - logic programs, Representation in Prolog - Logic...

Representation in Prolog - Logic Programs: If we justimpose some additional constraints on first-order logic, so than we get to a representation language knowing as logic prog

Characters in vi editor, What is the command used to replace many character...

What is the command used to replace many characters in Vi Editor? Ans) For replace most of the character in vi editor press esc key and then press R for change many character.

Super class and subclass in programming, What is the difference among super...

What is the difference among super class and subclass in programming? Ans) A super class is a class that is inherited in programming while the sub class is a class that does th

Logical database is a database structure., In sense of Database Management ...

In sense of Database Management System (DBMS) LOGICAL DATABASE is a database Structure. False LOGICAL DATABASE is not a database Structure.

Illustrate header section of a device driver, Q. Illustrate Header section ...

Q. Illustrate Header section of a device driver? Header comprises information which allows DOS to identify the driver. It also comprises pointers which allow it to chain to ot

What is a javabean, JavaBeans are reusable software components written in t...

JavaBeans are reusable software components written in the Java programming language, designed to be influenced visually by a software development environment, like JBuilder or Visu

Explain the system design of object oriented modelling, Explain the System ...

Explain the System Design of Object oriented modelling System Design : At this stage, the whole system model is designed. This is the phase where the complete system is divi

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