Digital Number Systems: Binary, Hexadecimal, and BCD

Understanding Number Systems

Number systems are fundamental to computing and digital electronics. They are essentially methods for representing numbers using a specific set of symbols (digits). The key concept differentiating them is the base or radix, which is the total number of unique digits available in that system.

Common Number Systems Breakdown

1. Decimal (Base-10)

This is the number system we use every day.

  • Base (Radix): 10
  • Digits Used: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
  • Concept: Each digit’s position
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Cinematic Contrast: Loneliness and the Male Gaze in Her and Lambs

Representing Isolation: Her vs. The Silence of the Lambs

Spike Jonze’s Her (2013) and Jonathan Demme’s The Silence of the Lambs (1991) both examine characters who experience deep loneliness, but they show this isolation using very different visual strategies. Her uses warm colors, soft lighting, and close-up shots to reveal Theodore’s emotional isolation and his sometimes idealized or unrealistic view of the women around him. In contrast, The Silence of the Lambs relies on point-of-view shots,

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Mastering the Iterative Design Process in Engineering

The Iterative Design Process

The iterative design process is one of the most traditional processes for the design of any engineering component or system. It is used widely throughout many industries. The process is not very efficient! With the advent of more streamlined digital workflows, we aim to cut out excess iterations from our process. The majority of your projects will likely follow this process.

Stages of the Iterative Design Process

Initial Ideation → Planning → Implementation → 
Requirements
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Modern Architectural Theory and Its Evolution

Adolf Loos: Ornament and Modernity

Adolf Loos’s argument that “ornament is a crime” is one of the most radical rejections of traditional aesthetics in architectural history. In his 1908 essay Ornament and Crime, Loos positions ornament not only as culturally outdated but morally and economically harmful. He associates decorative design with primitivism, degeneracy, and even criminality—claiming that modern man has evolved beyond the need for surface embellishment. This stance is both bold

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Buffer Overflow and Arbitrary Code Execution: Causes & Defenses

Arbitrary Code Execution (ACE)

Arbitrary Code Execution (ACE): A vulnerability where an attacker supplies input to a program such that the CPU interprets that input as executable instructions and runs it. The CPU cannot distinguish between legitimate program code and malicious injected code. Once ACE happens, the attacker controls instruction flow; security boundaries are effectively gone and the system executes whatever the attacker wants.

Buffer Overflow (BO)

BO (Buffer Overflow): All buffer overflows

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Negotiable Instruments Act and Information Technology Act, 2000 Explained

Negotiable Instruments Act, 1881

The Negotiable Instruments Act, 1881 is the foundational law in India that defines and amends the law relating to promissory notes, bills of exchange, and cheques.

Scope and Features of Negotiable Instruments

Scope

The Act deals primarily with three specific types of instruments (Section 13):

  • Promissory Note (Sec. 4)
  • Bill of Exchange (Sec. 5)
  • Cheque (Sec. 6)

The Act also covers concepts such as maturity, negotiation, endorsement, crossing, presentment, notice of dishonour,

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Mechanisms of Synaptic Transmission and Plasticity

The Process of Synaptic Transmission

The action potential signal arrives at the axon terminal (the bouton). The local depolarization causes Ca channels to open. (Is this channel voltage, chemically, or mechanically gated? Voltage). Ca enters the presynaptic cell because its concentration is greater outside the cell than inside. The Ca, by binding with calmodulin, causes vesicles filled with neurotransmitter to migrate towards the presynaptic membrane.

Neurotransmitter Release and Exocytosis

The vesicle

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Social Media Impact on Adolescent Mental Health

Social Media and Mental Health Outcomes

The relationship between social media and mental health is complex, characterized by mixed outcomes. Use is linked to both positive factors, such as connection and identity, and negative factors, including depression and anxiety.

  • Small effect sizes: The overall impact depends on specific behaviors, content, and individual traits.
  • U-shaped curve: A relationship where both extremely high and extremely low use correlate with worse mental health, while moderate use
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Monopoly, Monopolistic Competition and Market Price Dynamics

Monopoly — Market Structure & Price Determination

Definition

Monopoly: A market structure where a single firm controls the entire market for a product or service.

Features

  • Single seller: One firm supplies the entire market.
  • Unique product: No close substitutes for the product.
  • Barriers to entry: High barriers prevent other firms from entering the market.
  • Price maker: The firm has significant control over the price.

Equilibrium of the Firm

Definition: A monopoly firm maximizes profit by producing at

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General Chemistry 1 Principles and Formulas

Fundamentals and Measurements

  • SI Units: Mass (kg), Length (m), Time (s), Temperature (K), Amount (mol), Volume (m³ or L = 10-3m³).
  • Prefixes: Pico (10-12), nano (10-9), micro (10-6), milli (10-3), centi (10-2), kilo (103), mega (106).
  • Density: d = mass / volume. To convert g/cm³ to kg/m³, multiply by 1,000 (e.g., 6.353 g/cm³ = 6,353 kg/m³).
  • Temperature Conversions: °F = (9/5)°C + 32; K = °C + 273.15 (e.g., 56.1°C = 133°F).
  • Significant Figures:
    • Non-zero digits are always significant. Zeros between
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