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 is digital versatile disk read only memory, DVD-ROM employs same princ...

DVD-ROM employs same principle as a CD-ROM for reading and writing. However a smaller wavelength laser beam is used. Total capacity of DVD-ROM is 8.5GB. In double-sided DVD-ROM two

Explain the fixed logic versus programmable logic, Explain the Fixed Logic ...

Explain the Fixed Logic Versus Programmable Logic? The Logic devices can be classified into two broad categories - fixed and programmable. The same as the name suggests, the ci

Data base, why to learn data base?

why to learn data base?

We declare a table control in the abap/4 program, How can we declare a tabl...

How can we declare a table control in the ABAP/4 program? Using the syntax controls type tableview using screen .

Illustrate the uses of assembly language, Q. Illustrate the Uses of Assembl...

Q. Illustrate the Uses of Assembly Language? Uses of Assembly Language Assembly language is used mainly for writing short, efficient, specific interfacing modules/ subrou

What is memory interleaving, Q. What is Memory Interleaving? In this sc...

Q. What is Memory Interleaving? In this scheme main memory is splitted in 'n' equal-size modules and CPU has separate Memory Base register and Memory Address Register for every

Explain in detail about the dynamic timing, Explain in detail about the Dyn...

Explain in detail about the Dynamic timing a. Design is simulated in full timing mode. b. Not all possibilities tested, as it is dependent on input test vectors. c. Simul

Which method uses the greatest number of layers in OSI model, Which method ...

Which method uses the greatest number of layers in the OSI model? Gateway utilizes the greatest number of layers into the OSI model.

Why do we need dma, Why do we need DMA? DMA is used to transfer the blo...

Why do we need DMA? DMA is used to transfer the block of data directly among an external device and the main memory without the continuous intervention by the processor.

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