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 process of file transfer protocol, Q. Explain process of File Trans...

Q. Explain process of File Transfer Protocol? FTP (File Transfer Protocol), a standard Internet protocol, is the simplest way to exchange files between computers on Internet. L

How reassembling of ip fragments is advantageous, Reassembling of IP fragme...

Reassembling of IP fragments at the ultimate destination is advantageous. Give reasons. Needing the ultimate destination to reassemble the fragments has two major advantages. F

Gantt chart, The Gantt chart shows the several activities of each processor...

The Gantt chart shows the several activities of each processor with respect to progress in time in idle-overhead -busy modes with respect to each processor. Kiviat diagram:  Th

What is public key cryptography, What is Public Key Cryptography Publi...

What is Public Key Cryptography Public-key cryptography is a form of modern cryptography which permits users to communicate safely without lastly agreeing on a shared secret

Describe method overloading, Method overloading is to overload methods usin...

Method overloading is to overload methods using similar class name by writing different parameters. This is known as Method Overloading.

C program , minimum number of shelves

minimum number of shelves

Explain protection mechanism, Explain Protection mechanism. Protection...

Explain Protection mechanism. Protection mechanism: The subsequent mechanisms are commonly utilized for protecting files having programs and data. (a) Access controls list

The javascript validation not run on the asp.net, Why The JavaScript Valida...

Why The JavaScript Validation Not Run on the Asp.Net? The Asp.Net Button Is post backed on the server & not yet Submit & when it goes to the server its states is lost so if we

Name two special purpose registers, Name two special purpose registers. ...

Name two special purpose registers. Index register Stack pointer

Explain the working of interpreter, Explain the working of Interpreter? ...

Explain the working of Interpreter? The Interpreter is a program that executes instructions written in a high-level language. There are two manners to run programs written in a

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