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

Fifo discipline, You have been retained to examine how many check-in agents...

You have been retained to examine how many check-in agents should be used at a check-in counter for a big hotel. During normal business hours, customers arrive at a rate of about 2

Returns the information about tasks running, Returns the information about ...

Returns the information about tasks running int info = pvm_tasks( int where, int *ntask, struct pvmtaskinfo **taskp ) struct pvmtaskinfo {  int ti_tid; int ti_pt

Input-output-processor interconnection network (iopin), Input-Output-Proces...

Input-Output-Processor Interconnection Network (IOPIN) This interconnection network is used for communication between I/O channels and processors. All processors commune with a

Explain program source code, Q. Explain Program Source Code? Program S...

Q. Explain Program Source Code? Program Source Code  Every assembly language statement appears as: {identifier}  Keyword {{parameter},}  {;comment}.   Element of a

Porcess of identifying input and output values, Porcess of Identifying Inpu...

Porcess of Identifying Input and Output Values First, recognize what data is going to be used as input to system, and what will be output from system. Input and output values

What is the best way offload responsibility, What is the best way offload r...

What is the best way offload responsibility? The best way to offload responsibilities is to purchase services through a Service Provider. ISPs, customers and Service Provide

Cohesion, Identify the type of cohesion in the following statements: 1. ...

Identify the type of cohesion in the following statements: 1. Compute average daily temperatures at various sites 2. Initialize sums and open files 3. Create new temperature rec

What are the major systems of a telecommunication network, What are the maj...

What are the major systems of a telecommunication network? The main systems of any telecommunication network may contain the following main systems: a. Subscriber end instr

Explain readers-writers problem, Explain Readers-writers problem. Read...

Explain Readers-writers problem. Readers-writers problem: Assume that a data object (as a file or record) is to be shared between several concurrent processes. The readers ar

Define stack segment, Q. Define Stack segment ? 8086 Microprocessor su...

Q. Define Stack segment ? 8086 Microprocessor supports Word stack. Stack segment parameters tell the assembler to alert linker that this segment statement states the program s

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