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

Write shorts notes on digital signature, Write shorts notes on Digital Si...

Write shorts notes on Digital Signature. This method is used to authenticate the sender of a message. For sign a message, the sender encrypts the message by using a key ident

DFD, Define software architecture and describe which types of architectures...

Define software architecture and describe which types of architectures can be used in Email or Facebook applications

Delete a user from a category, Execute the following functionality using Ja...

Execute the following functionality using Java & SQL with simple GUI interface: 1.  Insert/delete/update an XML document.  2.  Insert/delete/update a category.  3.  Alloca

Inventor, I am the inventor of the railway signaling device now operated by...

I am the inventor of the railway signaling device now operated by timer. I wish to move on to the next phase where the equipment will be operated by DTMF codes. The device is a si

What is load-through or early restart, What is load-through or early restar...

What is load-through or early restart? When a read miss happens for a system with cache the needed word may be sent to the processor as soon as it is read from the main memory

What is open database connectivity, What is Open Database Connectivity (ODB...

What is Open Database Connectivity (ODBC) It happens that in addition to conventional or most popular database management systems, many companies go for proprietary software c

Why gateways are used during mail transfer, Why Gateways are used during ma...

Why Gateways are used during mail transfer? Email using SMTP effort best while both the sender and the receiver are on the internet and can hold TCP connections in between send

Disadvantages of address translation, Disadvantages of Address translation:...

Disadvantages of Address translation: Disadvantages are following: A program that is too large to be held in a part needs some special design, that called overlay

Why are arrays usually processed with for loop, The real power of arrays co...

The real power of arrays comes from their facility of using an index variable to traverse the array, accessing every element with the similar expression a[i]. All the is required t

What is FIFO, What is FIFO? FIFO is used as buffering element or queui...

What is FIFO? FIFO is used as buffering element or queuing element into the system that is by common sense, is needed only while you slow at reading than the write operation.

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