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

Concurrently read exclusively write, Q. Concurrently read exclusively write...

Q. Concurrently read exclusively write? It's one of the models based on PRAM. In this model, processors access the memory location simultaneously for reading whereas exclusivel

Benefit of digital versatile disk read only memory, Q. Benefit of digital v...

Q. Benefit of digital versatile disk read only memory? The main benefit of having CAV is that individual blocks of data can be accessed at semi-random mode. So head can be move

Prove using boolean algebra, Q. Prove using Boolean Algebra 1. AB + AC ...

Q. Prove using Boolean Algebra 1. AB + AC + BC' = AC + BC' 2. (A+B+C) (A+B'+C') (A+B+C') (A+B'+C)=A 3. (A+B) (A'+B'+C) + AB = A+B 4. A'C + A'B + AB'C + BC = C + A'B

What do you mean by perfect shuffle permutation, Q. What do you mean by Per...

Q. What do you mean by Perfect Shuffle Permutation? Perfect Shuffle Permutation: It was proposed by Harold Stone (1971). Consider N objects each is represented by n bit number

What are the advantages of CMOS logic, What are the advantages of CMOS logi...

What are the advantages of CMOS logic Ans: Advantages of CMOS Logic: (i) The power dissipation is mini-mum of all the logic families (ii) LSI and VLSI are possible

How to load dos from hard disk, Q. How to Load DOS from Hard Disk? To L...

Q. How to Load DOS from Hard Disk? To Load DOS from the Hard Disk of your computer, follow these steps: 1. Turn on the power ON/OFF switch of the CPU unit of your PC the pow

Sets and bags, Task: Sets and bags In mathematics, the notion of multis...

Task: Sets and bags In mathematics, the notion of multiset (or bag) is a generalisation of the notion of set. A bag is a special kind of container in which the items may be

How can you show only selected records with a form, How can you show only s...

How can you show only selected records with a form? There are dissimilar ways in which you can limit the records that you will see with a form, you can: Open a form and app

Length property of array , DEscribe a console application to show all the a...

DEscribe a console application to show all the arguments passed tocommand line whereas running the application. The user can pass anynumber of arguments that should be shown. Use l

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