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

Draw and illustrate the block diagram of DMA controller, Draw and illustrat...

Draw and illustrate the block diagram of DMA controller. Also discuss the various modes in which DMAC works. Direct memory access (DMA) is a process in that an external device

Where protocol operates to monitor and control n/w devices, Protocol used t...

Protocol used to monitor and control network devices operates at? Protocol operates at application layer to monitor and control network devices operates.

Explain about floating point representation, Q. Explain about Floating Poin...

Q. Explain about Floating Point Representation? Floating-point number representation includes two parts. The first part of number is a signed fixed-point number which is called

Illustrate about compact disk rewritable, Q. Illustrate about Compact Disk ...

Q. Illustrate about Compact Disk Rewritable? CD-RW optical disk can be repeatedly written and overwritten same as with a magnetic disk. Even though a number of techniques have

What is event-based simulator, Event-based Simulator Digital  Logic  S...

Event-based Simulator Digital  Logic  Simulation  method  sacrifices  performance  for  rich  functionality:  each active signal  is  calculated  for  every  device  it  propa

Define about hyper-threading technology, Q. Define about Hyper-threading te...

Q. Define about Hyper-threading technology? Hyper-threading technology enables a single microprocessor to behave as two separate threaded processors to operating system and app

What is secondary list, What is secondary list? It permits you to enha...

What is secondary list? It permits you to enhance the information presented in the basic list.  The user can, for example, select a line of the basic list for which he require

Meaning of convergence regarding e-commerce, What does the term convergence...

What does the term convergence mean regarding E-commerce? Convergence regarding e-commerce: The capability to leverage and integrate the different data sources and proces

Write shorts notes on digital signature, Write shorts notes on Digital Si...

Write shorts notes on Digital Signature. This method is used to authenticate the sender of a message. For sign a message, the sender encrypts the message by using a key ident

How many times browser on each computer has contacted server, Write a CGI p...

Write a CGI program that displays a count of how many times a browser on each computer has contacted the server. echo Content -type: text /html echo N=$QUERY_STRING Ec

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