Combinational Logic Circuits: Adders, Subtractors & MUX

Half Adder

Half Adder: A half adder is a basic combinational logic circuit used to add two single-bit binary numbers. It produces two outputs called Sum and Carry. It is called a half adder because it does not consider any carry input from a previous stage.

Inputs and Outputs

  • Inputs: A, B
  • Outputs: Sum (S), Carry (C)
  • Operation performed: A + B

Working Principle

  • When both input bits are 0, the Sum and Carry are 0.
  • When one input is 1 and the other is 0, the Sum is 1 and Carry is 0.
  • When both inputs are 1,
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Calculating Gravitational Force and Work on a Spacecraft

Problem Q2: Spacecraft Dynamics in the Earth-Moon System

At a certain instant, the Earth, the Moon, and a stationary 1250-kg spacecraft lie on the vertices of an equilateral triangle whose sides are 3.84 x 105 km in length.

Given Parameters

  • Mass of the Earth ($M_E$): 5.97 x 1024 kg
  • Mass of the Moon ($M_M$): 7.35 x 1022 kg
  • Total Mass ($M_{Total}$): 6.04 x 1024 kg (Verification required)

The simplest way to approach this problem is to find the gravitational force between the spacecraft and the center of

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Literary Critiques of Oppression: Rights, Justice, and Resistance

Literature, Human Rights, and Social Resistance

The relationship between literature and human rights is deeply interconnected, as literature has historically functioned as a powerful medium to represent, question, and challenge violations of human dignity, freedom, and justice. While human rights provide a legal and moral framework for protecting individuals, literature humanizes these abstract principles by narrating lived experiences of suffering, resistance, and hope. Through storytelling, poetry,

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Historical Roots of India’s Legal System and Governance

The Development of the Colonial Judicial System in India

The British judicial system in India developed gradually through experiments, trials, and administrative reforms. Every major judicial event or reform reflected the British objective of establishing political control, standardizing laws, and projecting the superiority of English legal principles. However, the system also exposed several critical contradictions:

  • Racial discrimination
  • Conflict between Company officials and Indian traditions
  • The
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Municipal Water and Waste Management Systems

Water Treatment and Waste Management Systems

Impurities in Water and Relevant Treatment Processes

Impurities are classified as:

  • Physical: Suspended solids, turbidity.
  • Chemical: Dissolved salts, hardness, metals, and pH imbalances.
  • Biological: Pathogens including bacteria, viruses, and protozoa.
  • Organics: Oil and pesticides.

Treatment Processes (Typical Sequence):

  1. Intake & Screening: Removal of large debris.
  2. Coagulation & Flocculation: Adding coagulants (e.g., alum or iron salts) to destabilize colloids;
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Software Engineering Process Models and Concepts Summary

Q1: Generic Process Model Phases

  • Communication – Elicit & analyze requirements, make SRS.
  • Planning – Feasibility, estimates, schedule, risk plan.
  • Modeling/Design – Architecture + detailed design (UML, DB).
  • Construction – Coding + unit testing.
  • Integration & Testing – Integration, system, acceptance tests.
  • Deployment – Install, configure, data migration, training.
  • Maintenance – Corrective, adaptive, perfective, preventive.

Agile & Cost of Change

Short iterations, customer in loop,

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Clinical Case Studies: Diagnosis and Laboratory Interpretation in Internal Medicine

Case 1: Drug-Induced Hemolytic Anemia

A 43-year-old patient complains of back pain, darkened urine, general weakness, and dizziness that occurred after treating a cold with aspirin and ampicillin. Objectively, the patient is pale with subicteric sclera. Heart Rate (HR) is 98 bpm. The liver is palpable +2 cm, and the spleen is palpable +3 cm (hepatosplenomegaly).

Complete Blood Count (CBC) and Biochemical Analysis

  • RBCs: 2.6 × 1012/l
  • Hb: 60 g/l
  • Color Index: 0.9 (N: 0.85–1)
  • WBCs: 9.4 × 109/l
  • Basophils:
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Foundations of Physical Education and Human Anatomy

What is Physical Education

Physical Education is the development of physical fitness and the ability to perform and enjoy day-to-day physical activities. It also promotes teamwork, discipline, and healthy living.

Importance of Physical Education

  • Improves health and fitness
  • Promotes teamwork and leadership
  • Builds confidence and discipline
  • Helps manage stress and mental health

History of Physical Education

Renaissance Era of PE

A time when interest in the human body and physical activity increased:

  • Education
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Insurance and Risk Management: Master Exam Summary

Insurance & Risk Management: Master Exam Summary

(Detailed Reference Material)


Core Risk Management Foundations

Risk Definitions

  • Risk: Uncertainty concerning the occurrence of a loss.

  • Pure Risk: Chance of loss or no loss (insurable).

  • Speculative Risk: Chance of loss, no loss, or gain (not insurable).

Categories of Risk

  • Personal Risk: Affects individual income (death, disability).

  • Property Risk: Loss or damage to owned property.

  • Liability Risk: Legal responsibility for injury to others.

  • Financial Risk:

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Optimizing Freight Procurement: Strategy for Cost Control at HRE

Executive Summary: Freight Cost Control Strategy

Humber River Electronics (HRE) spends approximately $170,000 annually on outbound freight services, utilizing four trucking suppliers: FedEx, JW Express, Martins Forwarding, and Orford Freight. With anticipated price increases of 3% to 5% due to rising fuel and wage costs, HRE must assess its freight strategy to control expenses while maintaining service quality.

The analysis reveals that Martins Forwarding accounts for the largest share of freight

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