Notes, summaries, assignments, exams, and problems for Baccalaureate

Boolean Algebra Fundamentals

Formulating Expressions: SOP and POS

Sum of Products (SOP) Formulation Steps

1. Circle rows in the truth table where the output $Y = 1$.
2. Identify the minterms corresponding to the circled rows.
3. Sum (OR) the selected minterms to form the final expression.

Product of Sums (POS) Formulation Steps

1. Circle rows in the truth table where the output $Y = 0$.
2. Identify the maxterms corresponding to the circled rows.
3. Multiply (AND) the selected maxterms to form the final expression.

Order of Evaluation in Boolean Algebra

Operations are evaluated in the following sequence:

1. Parentheses
2. NOT (Complementation)
3. AND (Multiplication)
4. OR (Addition)

Fundamental Boolean Laws and Theorems

• Identity Laws

  • $A + 0 = A$
  • $A \cdot 1 = A$

• Null Laws

  • $A + 1 = 1$
  • $A \cdot

Lecture 1: Moore's Law

Moore's Law: The number of transistors on microchips doubles every two years.

Lecture 2: Logic Gates

AND, OR, and NOT gates are universal.

Logic word problem steps:

Example: In a bank, there were four employees: the bank manager, assistant manager, teller, and the security guard. The bank has a single vault for the storage of their money. This vault was designed so that it needs four signals to open it. These four signals are from the bank manager, assistant manager, teller, and the security guard. For the vault to open, it needs the following conditions:

1. No single employee can open the vault.
2. It can be opened with three employees as long as one of them is the manager.
3. It can be opened by the manager together with the assistant

1. PIC18 Architecture Details

• Harvard Architecture

  Features distinct program memory and data memory. Includes the MPU, Program Memory, Data Memory, I/O Ports, and support devices like timers.

• Microprocessor Unit (MPU)

  • ALU (Arithmetic Logic Unit)

    Performs operations such as addition, subtraction, and logical operations.

  • Registers

    Includes WREG (8-bit accumulator), Program Counter (PC), Stack Pointer (SP), and File Select Registers (FSRs).

  • Memory

    Offers 2 MB of program memory and 4 KB of data memory.

  • Bank Switching

    Data memory is divided into 16 banks, with one 256-byte access bank.

2. Data Formats and Representations

• Unsigned Integers

  These are 8-bit values, ranging from 0 to 255.

• Signed Integers

  Represented using 2's complement, with a range from -128 to

Computer Systems Fundamentals Cheat Sheet

Number Systems

• Binary (Base 2): Digits 0 and 1.
• Hexadecimal (Base 16): Digits 0–9 and A–F.
• Decimal (Base 10): Digits 0–9.

Conversions

• Binary to Decimal: Multiply each bit by 2^n from the right.
• Decimal to Binary: Divide by 2 and record the remainders.
• Hex to Binary: Replace each hex digit with its 4-bit binary equivalent.

Two's Complement (Signed Numbers)

• Positive numbers: Same as unsigned.
• Negative numbers: Invert all bits and add 1.
• Range (n bits): -2^(n-1) to 2^(n-1) - 1.
• Overflow: Occurs if carry into the sign bit ≠ carry out.

Boolean Algebra Rules

• Identity: A + 0 = A, A * 1 = A
• Null: A + 1 = 1, A * 0 = 0
• Idempotent: A + A = A, A * A = A
• Inverse: A + NOT A = 1, A * NOT A = 0
• Distributive: A(B + C) = AB +

Chapter 1: Understanding Variables

Types of Variables

• Categorical: Smoker (current, former, no)
• Ordinal: Non, light, moderate, heavy smoker (ordered categories)
• Quantitative: BMI, Age, Weight (numerical measurements)

Key Definitions

• Observation: Measurements are made (individual or aggregate).
• Variable: The generic characteristic we measure (e.g., age).
• Value: A realized measurement (e.g., 27).

Chapter 2: Statistical Studies

Surveys: Census and Sampling

• Goal: Describe population characteristics.
• Census: Attempts to reach the entire population (costly, time-consuming).
• Sampling: Uses a sample of the population (allows for inferences, saves time and money).
• Simple Random Sampling: Based on probability.
• Issues with Sampling: Under-coverage, volunteer bias,

Passive Voice

• Active: The secretary types the letter.
• Passive: The letters are typed by the secretary.

• Future Simple: Will type / Will be typed
• Past Simple: Typed / Were typed
• Modal: Can type / Can be typed
• Present Continuous: Am/is/are being + past participle
• Present Perfect Simple: Have / has been + past participle

Impersonal Voice

1. It is thought/said/believed + that...
2. Subject + is considered/thought/said + to be...

The Causative (get/have + object + verb 3rd form)

Often associated with professions. Changes depending on the verbal tenses.

Ex: The painters painted my house / I had my house painted by the painters.

Wish Clauses

1. Wish + subject + past simple (about the future): Not reality, but you want it to happen. Ej: I wish I were a rich man.
2. Wish + could

Historical Context of the 1937 Decree

This decree-law, issued in 1937, concerns the Basque Economic Agreement abolition, drafted by Francisco Franco. Franco joined the 1936 military uprising that sparked the Civil War and became the sole Nationalist leader following the deaths of Sanjurjo and Mola. He ruled Spain as a dictator from 1939 until 1975. The document was a public decree addressed to all Spaniards, specifically the Basque people.

The law was published on June 24, 1937, in the Spanish Official Bulletin (formerly the Gazette of Madrid) after the Civil War concluded in the Basque Country, following the fall of Biscay to the Nationalists. It was issued in Burgos, the seat of the Nationalist command control during the war.

Key Terminology

The Arrival at Wuthering Heights

Lockwood, a tenant at Thrushcross Grange, visits Wuthering Heights. He spends the night in the room of the late Catherine (Edgar Linton's wife), where her ghost appears to him while he reads her diary; for 20 years, she has wandered, wanting to come inside.

The Origins of Heathcliff

Nelly Dean, the housekeeper, explains that Mr. Earnshaw returned from a trip with an orphaned gypsy boy he found in Liverpool, naming him Heathcliff after his deceased son.

Childhood and Social Conflict

Hindley Earnshaw (Catherine's brother) abuses Heathcliff. Catherine becomes friends with Heathcliff, and they spy on the Linton family. She eventually stays with the Lintons, falling in love with Edgar Linton.

Tragedy and Transformation

Frances... Continue reading "Wuthering Heights: A Summary of Emily Brontë's Masterpiece" »

LEASE DEED

I. Parties to the Agreement

THIS LEASE DEED is made and executed at Delhi on [Date of Execution].

The Lessor (First Part)

Smt. Sudarshan Kaur W/o Sh. Paramjit Singh R/o H. No. M-170, Greater Kailash-II, New Delhi, hereinafter referred to as the LESSOR, which expression shall, unless excluded or repugnant to the context, be deemed to include legal heirs (i.e., Mr. Paramjit Singh, Husband of the Lessor herein), successors, executors, administrators, representatives, and assigns of the FIRST PART.

The Lessee (Second Part)

M/s. Dave Thomson Associates (India) Pvt. Ltd., having its registered office at Satyug-Villa 1st Floor, 5, Gurunanak Nagar off Shankarshet Road, Pune, acting through their Director, Mr. H. R. Srinivas (duly authorized to... Continue reading "Commercial Property Lease Agreement Delhi Basement" »