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Boolean Algebra Laws — TechAmbitionX

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Boolean Algebra Laws — TechAmbitionX Boolean Algebra Laws — TechAmbitionX Cheat-sheet: fundamentals + derived laws. Boolean algebra is the math of 0s and 1s . These rules let you simplify expressions and design efficient circuits. Fundamental Laws Identity: A + 0 = A , A · 1 = A Null / Domination: A + 1 = 1 , A · 0 = 0 Idempotent: A + A = A , A · A = A Complement: A + A' = 1 , A · A' = 0 Involution (Double negation): (A')' = A Algebraic Laws Commutative: A + B = B + A , A · B = B · A Associative: (A + B) + C = A + (B + C) , (A · B) · C = A · (B · C) Distributive: A · (B + C) = A · B + A · C , A + (B · C) = (A + B) · (A + C) Important Simplification Laws Absorption: A + (A · B) = A , A · (A + B) = A Complement / Complementarity: A + A' = 1 , A · A' = 0 De Morgan's Theorems: (A · B)' = A...

Binary Coded Decimal (BCD) — TechAmbitionX | Mr. BILRED | Basic Stuff

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Binary Coded Decimal (BCD) — TechAmbitionX 🔹 1. What is BCD? BCD (Binary Coded Decimal) is a way of representing decimal numbers (0–9) in binary form using 4 bits for each digit . Example: Decimal 59 → BCD = 0101 1001 Pure Binary 59 → 111011 Notice how in BCD, each digit is separate (5 = 0101, 9 = 1001). This makes it easier for circuits to display numbers. 🔹 2. Why use BCD? Normal binary is compact, but BCD is better when numbers need to be shown to humans (digit by digit). 💡 Devices like digital clocks, calculators, counters , and 7-segment displays often use BCD internally. 🔹 3. Rules of BCD Each digit = 4 bits (nibble). Valid range = 0000 (0) to 1001 (9). 1010–1111 are invalid in standard BCD. 🔹 4. BCD Truth Table (0–9) Decimal BCD (8421) 0 0...

ADT vs Physical Data Structure — TechAmbitionX | DSA

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ADT vs Physical Data Structure — TechAmbitionX 1. What is an ADT (Abstract Data Type)? Definition: An ADT tells you what operations you can perform , not how they’re done . Analogy: Think of it as a menu in a restaurant . The menu says you can order “Pizza, Burger, Pasta” — but it doesn’t tell you how the chef cooks them. Examples: Stack (push, pop, peek) Queue (enqueue, dequeue) List (insert, delete, traverse) So, ADTs = concept + behavior. 🔹 2. What is a Physical Data Structure? Definition: This is the real recipe and ingredients in the kitchen that actually make the food. Analogy: If ADT is the menu → the Physical Structure is the kitchen setup (utensils, oven, storage). Examples: Array (continuous memory) Linked List (nodes + pointers) Tree (nodes with parent-child links) Graph (nodes + edges) ...

Big O and Complexity Explained (Beginner-Friendly Guide) | TechAmbitionX | Mr BILRED

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Big O and Complexity Explained (Beginner-Friendly Guide) What is Big O? Alright, time for the Big O Notation – it sounds fancy, but let’s break it down in plain human talk. The Problem It Solves Imagine you wrote some code that works perfectly. Great! But here’s the question: How well does it scale? If your code works fine with 10 items, what happens when you throw 10,000 or 10 million at it? Big O is a way of saying “how your code grows when the input grows.” Everyday Analogy Imagine searching for a word in a book: O(1): You magically open the exact page. (Lucky!) O(n): You read every page one by one until you find it. O(log n): You open the middle, check left or right, then repeat (like a dictionary). O(n²): For every page, you compare it with every other page (super slow, no one does this). Think of Big O Like Speed Labels O(1) – Constant Time: No matter if you have 10 or 10 million inputs, it takes t...

What The Actual Heck is DSA? (Not Much Nerdy Jargon, Just Chill)

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What The Actual Heck is DSA? (Not Much Nerdy Jargon, Just Chill) Imagine this: You’re cooking. You’ve got ingredients (data). You need containers (bowls, pans) to hold them = Data Structures . Then you need recipes (steps to cook) = Algorithms . That’s it. DSA = containers + recipes. Why it matters? Slow app = bad DSA choice . Fast app = good DSA choice . Every search engine, social media feed, even your game’s pathfinding uses DSA. Everyday Examples Contacts app: Your contacts app doesn’t scan all names when you search ‘Bilal.’ It uses a smart data structure to jump straight to the result. Google Maps: Finds shortest path ––> algorithm at work. Undo in Word: Stack data structure, because last action goes first out. The Building Blocks Here’s DSA at human level : Array = row of lockers (numbered boxes). Stack = Imagine a plate stack, you take the top plate, not the bottom (Last In, First Out – LIFO)...

Logic Gates - Digital Electronics Basics (AND, OR, NOT, etc.) | TechAmbitionX | Notes By Mr. BILRED

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Logic Gates - Digital Electronics Basics (AND, OR, NOT, etc.) | TechAmbitionX | Notes By Mr. BILRED Logic Gates Definition: Logic gates are the basic building blocks of digital electronics. They take one or more binary inputs (0 = LOW / FALSE, 1 = HIGH / TRUE) and give a single output, based on simple logic rules. Key Idea: They work using Boolean Algebra , where: AND → Multiplication (·) OR → Addition (+) NOT → Complement (′) Types of Basic Logic Gates 1. AND Gate Definition: Output is 1 only when all inputs are 1. Formula: Y = A · B Example IC: 7408 (Quad 2-input AND gate) A B Output (A·B) 0 0 0 0 1 0 1 0 0 1 1 1 2. OR Gate Definition: Output is 1 if any input is 1. Formula: Y = A + B Example IC: 7432 (Quad 2-input OR gate) A B Output (A + B) 0 0 0 0 1 1 1 0 1 1 1 1 3. NOT Gate (Inverter) Definition: ...

Live Today Dear! No One Has Promised You Tomorrow

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4K Wallpaper Release – Personal Philosophy | TechAmbitionX I Create My Wallpapers On My Own, Mostly For PC . And I Don’t Think I’ve Ever Shared It To Other People (or maybe yes, once or twice, or maybe once or never, I don’t Know, GOD KNOWS BEST). But This Time, Someone From Somewhere Specifically Asked Me To Share This Wallpaper With Them. So, This Time, I’ve Announced To Share This Specific Wallpaper At 4K QUALITY (4096 x 2160). This One “Specifically” Talks About “My” Philosophy of Life, Through Some Perspective. Live Today Dear! No One Has Promised You Tomorrow… Build Your Life Build Your After-Life Download Mobile Version 2160 x 4096 px (4K): Download Download PC Version 4096 x 2160 px (4K): Download SSBzdGlsbCB3YW50IHRvIGxlYXZlIGEgbWFyayBiZWZvcmUgbXkgdGltZSdzIHVw bm90IGV2ZXJ5b25lIGRlc2VydmUgdG8ga25vdyB0a...