|PHYSICS|Number System | Binary number system | Boolean Algebra скачать в хорошем качестве

|PHYSICS|Number System | Binary number system | Boolean Algebra

This is one of the clearest and most popular beginner-to-intermediate videos on number systems. It starts with the familiar decimal (base-10) system we use every day (digits 0–9, place values like units, tens, hundreds). It then explains why computers use binary (base-2) — only 0 and 1 — and how binary relates to digital electronics. The video covers octal (base-8) and hexadecimal (base-16) (using 0–9 and A–F), including why hex is convenient for programmers (shortens long binary strings). It includes step-by-step examples of converting between all four systems (e.g., binary → decimal, decimal → hex, binary octal/hex grouping tricks). Excellent for school students (class 11/12), computer science beginners, or anyone preparing for exams/placements. Very structured, calm narration, and lots of worked examples. This video provides a beginner-to-intermediate guide to number systems, focusing on decimal (base-10), binary (base-2), and methods for inter-conversion between them. Here's a breakdown of the key topics: Decimal Number System (Base-10) (0:04-11:20): The video begins by explaining how decimal numbers work, emphasizing place values (units, tens, hundreds) and powers of 10. It introduces concepts like Most Significant Digit (MSD) and Least Significant Digit (LSD), explaining how to determine them for both whole numbers and decimal fractions. The host demonstrates how decimal point position affects the power (positive for left, negative for right). Binary Number System (Base-2) (11:32-15:00): It then shifts to the binary system, highlighting its use of only 0s and 1s and a base of 2. The video explains how to write binary numbers and determine their position values using powers of 2. Conversion: Binary to Decimal (15:00-37:30): A significant portion of the video is dedicated to converting binary numbers to their decimal equivalents. Non-decimal binary numbers (15:56-21:00): Step-by-step examples are provided to convert whole binary numbers to decimal using the expanded form and powers of 2. Decimal binary numbers (fractions) (21:28-32:00): The process for converting binary numbers with decimal points is explained, involving negative powers of 2 and adding the resulting decimal fractions. Combined examples (33:00-37:30): The video demonstrates how to convert binary numbers that have both whole and fractional parts to decimal. Conversion: Decimal to Binary (37:30-51:00): The video covers the reverse conversion: decimal to binary. Non-decimal numbers (39:09-51:00): This involves repeated division by 2 and recording the remainders. The binary equivalent is then read from bottom to top (remainders). Examples are provided for various whole decimal numbers. Conversion: Decimal Fractions to Binary (51:00-1:01:00): The final section explains how to convert decimal fractions to binary. This process involves repeated multiplication by 2 and recording the integer part of the result. The binary fraction is formed by reading these integer parts from top to bottom until the fractional part becomes zero.