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 monkey testing, What is Monkey testing? The monkey testing is ...

What is Monkey testing? The monkey testing is the process of testing here and there for judging the application trying to observe the accessing dissimilar functionalities is i

Discussion., Functionality first and then Security?

Functionality first and then Security?

Compact disk read only memory, Q. What is Compact Disk Read Only Memory? ...

Q. What is Compact Disk Read Only Memory? This technology has evolved out of entertainment electronics market where cassette tapes and long playing records are being replaced b

Data communication, how CSMA protocol is improved through persistence metho...

how CSMA protocol is improved through persistence methods & collition detection

Non repudiation, What is non-repudiation? how can it be achieved in designi...

What is non-repudiation? how can it be achieved in designing e-cash based system?

Explain relative addressing scheme, Q. Explain Relative Addressing Scheme? ...

Q. Explain Relative Addressing Scheme? In this addressing technique the register R is the program counter (PC) which contains the address of current instruction being executed.

Define a variant of top-down parsing without backtracking, A parser which i...

A parser which is a variant of top-down parsing without backtracking is? Ans. Recursive Descend is a variant of top-down parsing without backtracking.

Proof by contradiction - artificial intelligence, Proof by Contradiction - ...

Proof by Contradiction - Artificial intelligence So, both backward chaining andforward chaining have drawbacks. Another approach is to think regarding proving theorems by contr

What is data structure, What is data structure? A data structure is a w...

What is data structure? A data structure is a way of organizing data that considers not only the items kept, but also their relationship to each other. Advance knowledge abo

How does cpu know that an interrupt has taken place, How does CPU know that...

How does CPU know that an interrupt has taken place? There needs to be a line or a register or status word in CPU which can be increased on occurrence of interrupt situation.

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