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

Construct a shift register from S-R flip-flops, Construct a shift register ...

Construct a shift register from S-R flip-flops. Explain its working. Ans: S-R Flip-Flop Shift Register: Shift registers can be built through using SR flip-flops. Fig.(a)

Displaying the list of files with dir, Q. Displaying the List of Files with...

Q. Displaying the List of Files with DIR? You can display the list of files kept in a diskette or hard disk with the DIR commend. This Commends list files and sub directories i

What is sorted linked list, Linked list means node which is linked each oth...

Linked list means node which is linked each other with  a line. It means that every node is connected with another one. Every node of the list hold the reference of the next node.

What are the two levels in defining a match code, What are the two levels i...

What are the two levels in defining a Match Code? Match Code Object. Match Code Id.

Explain use of mpi functions with an example, Q. Explain use of MPI functio...

Q. Explain use of MPI functions with an example? include int main(int argc, char **argv) { int i, tmp, sum, s, r, N, x[100]; MPI_Init(&argc, &argv); MPI_Comm_size

Determining the error models that affect program execution, In critical com...

In critical computer applications the correctness of a delivered output and the continuity of the required service beside the speed of the used CPU are the most important measures

Call the masm procedure, Assignment:  write a C program and a MASM procedur...

Assignment:  write a C program and a MASM procedure.  The C program calls the MASM procedure to perform letter case conversion. Text sections covered:  12.1 to 12.3.1 Write a

Logic-based expert systems, Logic-based Expert Systems : Expert system...

Logic-based Expert Systems : Expert systems are agents that are programmed to make decisions just about real world situations are place together by utilising knowledge illicit

Recordable cds and dvds, Optical disk becomes an attractive alternative for...

Optical disk becomes an attractive alternative for backing up information from hard disk drives and employs large text, audio and video data. Advent of CD-ROM-R and DVD-ROM-R has b

Bubbling the pipeline - computer architecture, Bubbling the Pipeline: B...

Bubbling the Pipeline: Bubbling the pipeline (also known as a pipeline break or pipeline stall) is a technique for preventing, structural, data and branch hazards from taking p

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