#knowledgehub скачать в хорошем качестве

#knowledgehub

#knowledgehub computer chp #2 class 9th number system lecture # about decimal and binary system. #knowledgehubcomputerchp#2class9thnewadditionchp2numbersystemlectureaboutdecimalandnumbersystem. #knowledgehub sania Helo every one today I am here to teach you computer class 9th new addition chp 2 number system topic decimal system and number system. Number Systems in Computers Computers don’t speak “human” numbers (0-9). They use binary number system (0 and 1) because electronic circuits have two states: ON (1) and OFF (0). But for humans, other systems like octal (base 8) and hexadecimal (base 16) are used to make reading and writing easier. Decimal System (Base 10) Digits: 0,1,2,3,4,5,6,7,8,9 Place values: powers of 10 (10⁰, 10¹, 10², …) Example: \( 345_{10} = 3 \times 10^2 + 4 \times 10^1 + 5 \times 10^0 = 300 + 40 + 5 \) Binary System (Base 2) Digits: 0, 1 Place values: powers of 2 (2⁰, 2¹, 2², …) Example: \( 1011_2 = 1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0 = 8 + 0 + 2 + 1 = 11_{10} \) Octal System (Base 8) Digits: 0-7 Place values: powers of 8 Example: \( 27_8 = 2 \times 8^1 + 7 \times 8^0 = 16 + 7 = 23_{10} \) Hexadecimal System (Base 16) Digits: 0-9 and A-F (A=10, B=11, …, F=15) Place values: powers of 16 Example: \( 1A_16 = 1 \times 16^1 + 10 \times 16^0 = 16 + 10 = 26_{10} \) Why these matter in computers? Binary is the core language. Octal and hexadecimal are shorthand for binary, making it easier for programmers to read and write large binary numbers.