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

Standards used for development of a system, Q. Standards used for developme...

Q. Standards used for development of a system? Documentation standards: It must be an ongoing activity at the time of system development life cycle.  Quality Standards:

The major underlying concepts of object orientation, Objects, messages, cla...

Objects, messages, class, inheritance and polymorphism are the major concepts of object orientation.

What are the types of parallel programming, Q. What are the types of parall...

Q. What are the types of parallel programming? There are various parallel programming models in general use. A few of them are:  Data Parallel programming Message P

Explain auto increment and auto decrement mode, Explain Auto increment and ...

Explain Auto increment and Auto decrement mode  The register is incremented or decremented after (or before) its value is used to access memory.  The address stored in the regi

Give regular expression for real number, Develop a regular expression for R...

Develop a regular expression for Real number and Real number with optional fraction (i) A regular expression for real number is [+ | -] (d)+. (d)+ (ii) A regular expression

Jsbjj, what are the output deice

what are the output deice

Definition of a micro controllers, Before we take a detailed look about the...

Before we take a detailed look about the Motorola 68HC11 series of micro controllers it is useful to define what is meant by a micro controller. As the name suggests a micro contro

C++, pebble merchant

pebble merchant

Application layer in tcp/ip model corresponds to for what, Application laye...

Application layer (layer 4) in TCP/IP model corresponds to? In OSI model, application layer (layer 4) in TCP/IP model corresponds to layer 6 and layer 7.

Which objects are independent transport objects, Which objects are independ...

Which objects are independent transport objects? Domains, Data elements, Tables, Technical settings for tables, Secondary indexes for transparent tables, Structures, Views, Ma

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