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

How adaptive transmission helps tcp to maximize connection, How adaptive tr...

How adaptive transmission helps TCP to maximize throughput on each connection? To know how adaptive retransmission helps TCP maximize throughput upon all connection, see a case

Explain the working of linker, Explain the Working of Linker? Linker a...

Explain the Working of Linker? Linker as well called as link editor and binder. A linker is the program that combines object modules to form an executable program. Several pro

Eme, state function and path function

state function and path function

Explain the high level Language - computer programming, Explain the High Le...

Explain the High Level Language? The programming language such as FORTRAN, C, or Pascal that enables a programmer to write programs those are more or less independent of a parti

Describe about remote-load latency problem, Q. Describe about Remote-load L...

Q. Describe about Remote-load Latency Problem? When one processor requires some remote loading of data from other nodes then processor has to wait for these two remote load ope

Differentiate between $display and $strobe, Differentiate between $display ...

Differentiate between $display and $strobe These commands have similar syntax, and display text on screen during simulation. $display and $strobe display once every time they a

What is assembly, What is assembly Assemblies are the building blocks o...

What is assembly Assemblies are the building blocks of .NET Framework applications; they variety the fundamental unit of deployment, version control, reuse, activation scoping,

Differentiate b/w pre-emptive and non-pre-emptive scheduling, Differentiate...

Differentiate between pre-emptive and non-pre-emptive scheduling. Pre-emptive scheduling : in its approach, center processing unit can be taken away from a process if there is a

Starting parallel virtual machine, Q. Starting parallel virtual machine? ...

Q. Starting parallel virtual machine? To initialize PVM on any host on that PVM has been installed we can type  % pvm The PVM console known as pvm is a standalone PVM t

Explain what are user controls, Briefly explain what user controls are and ...

Briefly explain what user controls are and what server controls are and the differences between the two.   An ASP.NET control (sometimes known as a server control) is a server-

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