Constructing a simple example with three numbers

Assignment Help Basic Computer Science
Reference no: EM131093310

Let x1 and x2 be (b + 1)-bit binary numbers with magnitude less than 1. To compute the sum of x1 and x2 using two's-complement representation we treat them as (b + 1)- bit unsigned numbers, we perform addition modulo-2 and ignore any carry after the sign bit.

(a) Show that if the sum of two numbers with the same sign has the opposite sign, this corresponds to overflow.

(b) Show that when we compute the sum of several numbers using two's-complement representation, the result will be correct, even if there are overflows, if the correct sum is less than 1 in magnitude. Illustrate this argument by constructing a simple example with three numbers.

Reference no: EM131093310

Questions Cloud

Determining the shares of deltona : Theres a owns 500 shares of Deltona and wants to use homemade leverage to offset the leverage used by Deltona. Theresa should buy/ sell how many shares
Best estimate for morningside cost of equity : a. What is the best estimate for Morningside's cost of equity? b. What is the firm's corporate cost of capital?
What do we call fitting the gospel with language and idioms : What do we call the fitting the gospel with the language, idioms, customs, and traditions of the culture so that Christianity becomes organically woven in with the context?
A seasoned senior auditor at a large cpa firm : You are a seasoned senior auditor at a large CPA firm. Assurance and attestation services are an important part of your firm's business. You have been assigned a new, inexperienced staff member to mentor, train, and make a part of the audit team y..
Constructing a simple example with three numbers : Show that if the sum of two numbers with the same sign has the opposite sign, this corresponds to overflow.
What do we call the anthropological theory : What do we call the anthropological theory that highlights the positional of knowledge, that is, knowledge is generated by a knower who is positioned in a particular place and time and who reflects a specific and limited perspective.
Liability of the statement of financial condition : 1. Which of the following would be recognized as a liability of the statement of financial condition (balance sheet) of Community Sercvice, Inc?
Compute the present values of the periodic : Using the appropriate interest table, compute the present values of the following periodic amountsdue at the end of the designated periods.1. $30,000 receivable at the end of each period for 8 periods compounded at 12%.
What is the phenotype that goes with the blank square : In his breeding experiments on pea plants, Gregor Mendel discovered that purple is dominant and white is recessive. What is the *phenotype* that goes with the blank square below (your answer should be just one word/notation - no spaces or punctuat..

Reviews

Write a Review

Basic Computer Science Questions & Answers

  Identifies the cost of computer

identifies the cost of computer components to configure a computer system (including all peripheral devices where needed) for use in one of the following four situations:

  Input devices

Compare how the gestures data is generated and represented for interpretation in each of the following input devices. In your comparison, consider the data formats (radio waves, electrical signal, sound, etc.), device drivers, operating systems suppo..

  Cores on computer systems

Assignment : Cores on Computer Systems:  Differentiate between multiprocessor systems and many-core systems in terms of power efficiency, cost benefit analysis, instructions processing efficiency, and packaging form factors.

  Prepare an annual budget in an excel spreadsheet

Prepare working solutions in Excel that will manage the annual budget

  Write a research paper in relation to a software design

Research paper in relation to a Software Design related topic

  Describe the forest, domain, ou, and trust configuration

Describe the forest, domain, OU, and trust configuration for Bluesky. Include a chart or diagram of the current configuration. Currently Bluesky has a single domain and default OU structure.

  Construct a truth table for the boolean expression

Construct a truth table for the Boolean expressions ABC + A'B'C' ABC + AB'C' + A'B'C' A(BC' + B'C)

  Evaluate the cost of materials

Evaluate the cost of materials

  The marie simulator

Depending on how comfortable you are with using the MARIE simulator after reading

  What is the main advantage of using master pages

What is the main advantage of using master pages. Explain the purpose and advantage of using styles.

  Describe the three fundamental models of distributed systems

Explain the two approaches to packet delivery by the network layer in Distributed Systems. Describe the three fundamental models of Distributed Systems

  Distinguish between caching and buffering

Distinguish between caching and buffering The failure model defines the ways in which failure may occur in order to provide an understanding of the effects of failure. Give one type of failure with a brief description of the failure

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