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

What do you mean by underflow and overflow of data, What do you mean by und...

What do you mean by underflow and overflow of data? Underflow and overflow of data: When the value of the variable is either too long or too small for the data type to hold,

What is drawbacks of cd- rom, Q. What is Drawbacks of CD- ROM? Drawbac...

Q. What is Drawbacks of CD- ROM? Drawbacks of CD- ROM are as below: 1. It is read-only and can't be updated. 2. It has an access time much longer than magnetic disk dri

Define parameters used in program annotation, Q. Define Parameters used in ...

Q. Define Parameters used in Program Annotation? Parameters: A parameter refines and extends the meaning that assembler attributes to keyword in a statement.  Number of param

Determine grade of service is given worse service or not, The larger the Gr...

The larger the Grade of Service, the worse is the service given, it is true or false. Ans: It is true that larger the Grade of Service, the worse service is provided.

Give brief description about arithmetic processing unit, Give brief descrip...

Give brief description about arithmetic processing unit To execute the arithmetic operations there is a separate section known as arithmetic processing unit in CPU. The arithme

What is framework, What is framework? Framework is a skeletal structure...

What is framework? Framework is a skeletal structure of a program that must be elaborated to build a complete application. It has abstract classes.

C, usability of union

usability of union

Define peripheral, Define peripheral. Devices that are under the direct...

Define peripheral. Devices that are under the direct control of computer are said to be linked online. These devices are intended to read information into or out of the memory

What is dhcp and how it works, Full form of is DHCP: Dynamic Host Control P...

Full form of is DHCP: Dynamic Host Control Protocol. It is mainly used to bound MAC Addresses of system. Especially for Wireless System.

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