🤯 Signed vs. Unsigned Numbers скачать в хорошем качестве

🤯 Signed vs. Unsigned Numbers

🤯 Signed vs. Unsigned Numbers: How Computers Handle Negatives (2's Complement Explained)If computers only understand ones and zeros, how do they represent a negative number like -5? This video dives deep into the fundamental difference between signed and unsigned numbers and reveals the genius method modern computers use to handle subtraction. We break down the "negative puzzle" by exploring three historical ways to represent negative values in binary: The Three Methods for Representing Negatives: Unsigned Numbers: All bits represent the value, meaning only non-negative integers ($\ge 0$) can be stored. Sign-Magnitude: The most significant bit (MSB) is reserved for the sign (0 for positive, 1 for negative), and the remaining bits represent the magnitude.1's Complement: Negative numbers are found by simply inverting every bit of the positive number (flipping all 0s to 1s and vice versa).2's Complement (The Champion): The most common and efficient method. It involves inverting all bits, and then adding 1.Why 2's Complement Wins: The video explains the "magic of math" behind 2's Complement: it allows the computer to perform subtraction entirely through addition (e.g., $9 - 5$ becomes $9 + (-5)$). This simplifies the hardware and makes calculations faster and more efficient. Real-World Relevance: Understanding the signed vs. unsigned distinction is crucial for programming: Unsigned is used for things that can never be negative, like memory addresses or array indices. Signed is required for values that can go below zero, such as temperature, financial values, or sensor data. Watch to the end for a final brain teaser on why a standard 8-bit system using 2's complement has one extra negative number!#2sComplement #BinaryArithmetic #SignedNumbers #UnsignedNumbers #ComputerScience #DigitalLogic #Programming #MSB