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

Risk detection, what is meant by risk detection in software project managem...

what is meant by risk detection in software project management

State the use of erasable programmable read only memory, Erasable programma...

Erasable programmable read only memory (EPROM) This is a special type of PROM which can be erased by exposing it to ultraviolet (UV) light. Once it has been erased, it can be r

What is efi framework, The Extensible Firmware Interface (EFI) is a specifi...

The Extensible Firmware Interface (EFI) is a specification that defines a software interface among an operating system and platform firmware. EFI is intended as a significantly imp

Define memory cycle time, Define memory cycle time? It is the time dela...

Define memory cycle time? It is the time delay needed between the initiations of two successive memory operations. Eg. The time among two successive read operations.

Rsa encryption function- cryptography, The general method for constructing ...

The general method for constructing the parameters of the RSA cryptosystem can be described as follows: Select two primes p and q Let N = pq and determine ∅ (N) = (p - 1

Temporary registers w and z, Why the temporary registers W and Z are named ...

Why the temporary registers W and Z are named so I mean we start from A,B,C,D,E then H and L coz H stands for higher bit nd L for lower bit of the address pointed by memory pointer

Earned value analysis, Senior management has requested a status update on t...

Senior management has requested a status update on the workstation installation project.  As a part of this update, managers have requested that you present an Earned Value analysi

What is default look-and-feel of a swing component, The default Look and Fe...

The default Look and Feel of swing components are Java Look-and-Feel.

How can a shift register be used as a counter, What is a shift register? Ca...

What is a shift register? Can a shift register be used as a counter? If yes, explain how?     Ans: Shift Register: A register wherein data gets shifted towards left or right

Why does ftp use two standard ports, Why does FTP use two standard ports wh...

Why does FTP use two standard ports whereas other protocols, in general use only one port? Justify. File transfer protocol uses a control connection just to send commands and r

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