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

Solution of multi-layer ann with sigmoid units, Solution of multi-layer ann...

Solution of multi-layer ann with sigmoid units: Assume here that we input the values 10, 30, 20 with the three input units and from top to bottom. So after then the weighted s

Describe thead, Q. Describe THEAD, TBODY and TFOOT tag? THEAD, TBODY, ...

Q. Describe THEAD, TBODY and TFOOT tag? THEAD, TBODY, TFOOT , , and form groups of rows. specifies that a group of rows are heade

Classification of digital computer, CLASSIFICATION  OF DIGITAL COMPUTER ...

CLASSIFICATION  OF DIGITAL COMPUTER Computer are classified under a number of factors.Some people classify them according to their processing speed.main memory,technology used

Explain instruction level of parallel processing, Instruction Level It ...

Instruction Level It refers to condition where different instructions of a program are implemented by different processing elements. Most processors have various execution unit

How can i delete a file, The Standard C Library function is removing. (This...

The Standard C Library function is removing. (This is thus one of the few questions in this section for which the answer is not ''It's system-dependent.'') On older, pre-ANSI Unix

Shell script, shell script to find whether the given number is Armstrong or...

shell script to find whether the given number is Armstrong or not

What are the restrictions on subscreens, What are the restrictions on Subsc...

What are the restrictions on Subscreens? Subscreens have various restrictions.  They cannot: Set their own GUI status Have a named OK code Call another screen

What is mini frame size where propagation speed is 200 m µs, A CSMA/CD bus ...

A CSMA/CD bus spans a distance of 1.5 Km. If data is 5 Mbps, What is minimum frame size where propagation speed in LAN cable is 200 m µs. Usual propagation speed in LAN cables

How firewalls operate, Firewalls operate by Creening packets to/from th...

Firewalls operate by Creening packets to/from the Network and give controllable filtering of network traffic.

State the importance of CRT monitor, State the importance of CRT monitor ...

State the importance of CRT monitor CRT is considered to be one of the most important component because the quality of displayed image influences the perception of generated de

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