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

Describe types of complements, Q. Describe types of complements? There ...

Q. Describe types of complements? There are two kinds of complements for a number of base (also known as radix) r. These are known as r's complement and (r- 1)'s complement. Fo

Workflow automation in e-business environment, How do you achieve workflow ...

How do you achieve workflow automation in e-business environment?   In order to run easily, organizations often standardize processes across the organization and encourage user

What is store program control, What is store program control (SPC)? Wi...

What is store program control (SPC)? Within stored program control systems, a program or set of instructions for the computer that is stored in its memory and the instructions

What do you mean by internet, Q. What do you mean by Internet? Ans: In...

Q. What do you mean by Internet? Ans: Internet is a network of networks or collection of networks. Several networks such as WAN and LAN connected through suitable hardware an

Design and development of an information system, This assignment consists o...

This assignment consists of design and development of an information system. The first part of the assignment consists of the design, which includes construction of ER and DFD diag

C++, At a shop of marbles, packs of marbles are prepared. Packets are named...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

Describe about relationships and look up fields, Relationships are imported...

Relationships are imported from the source to finish without any hindrance but once they land in the destination they can never be changed or changed and change of extensions canno

Stack, The Stack A procedure call is supported by a stack. So let's dis...

The Stack A procedure call is supported by a stack. So let's discuss stack in assembly. Stacks are 'Last In First Out' data structures and are used for storing return addresses

What is neg instruction, What is NEG instruction Arithmetic sign inver...

What is NEG instruction Arithmetic sign inversion or two's complement (NEG). NEG instruction two's complements a number which means that arithmetic sign of a signed number cha

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