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

Give difference between assembler and compiler, Give difference between ass...

Give difference between assembler and compiler. Assembler: It is the translator for an assembly language of computer. An assembly language is a low-level programming language

Logical functions, Logical functions   We have discussed the If, 'While...

Logical functions   We have discussed the If, 'While and For' Statements, and have used expressions within our syntax i.e.           If ( expression)           Statement 1;

What are escape sequences characters, What are escape sequences characters?...

What are escape sequences characters? List any six of them.  The characters which when used with output functions like printf( ),putc(),put() etc. helps in formatting the outpu

How is transaction processing system affected, How is Transaction Processin...

How is Transaction Processing System affect performance of e-commerce sites? Transaction Processing System influences performance of e-commerce sites: Transaction-Processing

What methods can be overridden in java, In C++ terminology, all public meth...

In C++ terminology, all public methods in Java are virtual. Thus, all Java methods can be overwritten in subclasses except those that are declared final, private and static.

Explain dataadapter control, Which method do you invoke on the DataAdapter ...

Which method do you invoke on the DataAdapter control to load  your generated dataset with data? dataAdapter.Fill(ds). The beauty of this method is  it automatically implicitly

Explain semaphore, What is a semaphore? Semaphore: It is a synchroniz...

What is a semaphore? Semaphore: It is a synchronization tool which gives a general-purpose solution to controlling access to critical sections.

Identify specific weaknesses in the design, Identify three specific weaknes...

Identify three specific weaknesses in the design of the websites, derived from your analyses within Questions Part (c) and/or Question Part (a). There should be at least one weakne

Grounding a variable - first-order logic, Grounding a variable - first-orde...

Grounding a variable - first-order logic: The perform of making ourselves clear about a variable by introducing an exists or a forall sign is called quantifying the variable.

Show SNMPs representation in ASN.1 syntax, An SNMP integer whose value is 2...

An SNMP integer whose value is 200 has to be transmitted. Show its representation in ASN.1 syntax. An ASN.1 transfer syntax describes how values of ASN.1 types are unambiguousl

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