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

Neural network programming using matlab, I need the matlab basics for crea...

I need the matlab basics for creating and configuring a neural network with 2 hidden layers

two arguments are passed, The velocity of sound in air is 49.02 feet p...

The velocity of sound in air is 49.02 feet per second where is the air temperature in degrees Rankine.  Write a function to execute this.  If just 1 argument is passed to the f

Illustrate high performance fortran, In 1993 High Performance FORTRAN Forum...

In 1993 High Performance FORTRAN Forum which is a group of academicians and many leading software and hardware vendors in field of parallel processing established an informal langu

Cross bar-various interconnection networks-fully connected, Cross Bar ...

Cross Bar The crossbar network is the easiest interconnection network. It has a two dimensional grid of switches.  It is a non-blocking network and give connectivity among inp

Explain about hamming error correcting code, Q. Explain about Hamming error...

Q. Explain about Hamming error correcting code? Richard Hamming at Bell Laboratories worked out this code. We will only introduce this code with help of an illustration for 4 b

Explain about disk caching scheme, Q. Explain about disk caching scheme? ...

Q. Explain about disk caching scheme? The disk caching scheme can be used to speed up performance of disk drive system. A set (cache) of buffers is assigned to hold some disk b

Secret-key encryption, Secret-key encryption is also called as Private ...

Secret-key encryption is also called as Private encryption.

How u can create xml file, How u can create XML file? To write Dataset ...

How u can create XML file? To write Dataset Contents out to disk as an XML file use: MyDataset.WriteXML(server.MapPath("MyXMLFile.xml"))

Show system call for cloning, Show System call for cloning.  Standard f...

Show System call for cloning.  Standard form of Clone function is as follows: Int clone (Int (*FN) (), void *child stack, Int flag, intargs,); Parameter FN is Pointer fro

Design of structure chart, Design of structure chart - Standard qualit...

Design of structure chart - Standard quality structure charts result in programs that are modular, reusable and simple to execute. - Measures include: Cohesion

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