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

Computer systems architecture, Assume that you are working in a software co...

Assume that you are working in a software company as a programmer and a bank is your company's client. The Bank is a most popular and one of the leading banks in Malaysia. Your

Mention the two subsystem relationship, Mention the two subsystem relations...

Mention the two subsystem relationship. The relationship among two subsystems can be: Client-server Peer-peer

Difference between global and local variables, Global and Local Variables ...

Global and Local Variables Global variables: The features are as pursue Declared outside of all functions or before main. These can be used in all the functions in the progra

What is single program multiple data, Q. What is Single Program Multiple Da...

Q. What is Single Program Multiple Data (SPMD) SPMD is in fact a "high level" programming model which can be built on any arrangement of previously described parallel programmi

Nature of intelligence, From the early AI pioneering stage the research ...

From the early AI pioneering stage the research emphasis has been on developing machines with intelligent behaviour. Machine intelligence however is hard to achieve. Some

Future of hyper threading, Current Pentium 4 based MPUs use Hyper-threading...

Current Pentium 4 based MPUs use Hyper-threading, but the next-generation cores, Woodcrest and Merom, Conroe will not. While some have alleged that this is because Hyper-threading

Structural classification-flynns classification , Structural Classification...

Structural Classification Flynn's classification examine the behavioural concept and does not receive into consideration the computer's structure. Parallel computers can be cla

Differentiate between adaptive and non-adaptive routing, Differentiate betw...

Differentiate between adaptive and non-adaptive routing. Adaptive routing defines the ability of a system, by which routes are characterised through their destination, to cha

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