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 ale and explain the functions of ale in 8085, ALE-> Address latch e...

ALE-> Address latch enable...In the case of microcontroller (8051)& microprocessor 8085 the data line and low order 8 bit address lines are multiplexed. In order to getting address

large block , Given a RAID 3 (bit-interleaved parity) with k disks, how we...

Given a RAID 3 (bit-interleaved parity) with k disks, how well will large block transmits work? How well will it handle a high I/O request rate? Compare the performance to a one di

The field sy-stepl, The field SY-STEPL refers to The index of the scre...

The field SY-STEPL refers to The index of the screen table row that is presently being processed.  The system variable SY-stepl only has a meaning within the confines of LOOP.

Kirchoff''s voltage law , Kirc hoff's Voltage Law   The sum ...

Kirc hoff's Voltage Law   The sum of all the voltage drops around a closed circuit loop will add to zero  V1+(-V2)+(-V3)+(-V4)= 0

What do you understand by scan codes, Q. What do you understand by Scan Cod...

Q. What do you understand by Scan Codes? A scan code is a code produced by a microprocessor in keyboard when a key is pressed and is unique to key struck. When this code is rec

Explain the term - rational rose and visio 2000 enterprise, Explain the ter...

Explain the term - Rational Rose and Visio 2000 Enterprise Rational Rose: IBM Rational RequisitePro is a powerful and easy-to-use tool for use case management and requirement

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

Explain the design procedure for flip flop, Explain the Design Procedure fo...

Explain the Design Procedure for Flip Flop? The design procedure as follows. 1) Acquire the clear description of the desired flip flop X. 2) Acquire the present state- next

Discrete mathmetics and structures, how to prove the partial order R is a t...

how to prove the partial order R is a total order in discrete mathmetics and structures by topological sorting method in c programming

Explain moores law and amdahls law, Question (a) Imagine you need to mo...

Question (a) Imagine you need to move people through a distance of 10 miles, with the following specifications. • Car: capacity = 5, speed = 60 miles/hour • Bus: capacity

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