https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/algebra-alternate-number-bases/v/number-systems-introduction 2023-11-15T19:12:44.061361401Z Introduction to number systems and binary The base 10 (decimal) system is the most common number system used by humans, but there are other important and useful number systems. For example, base 2, called binary system, is the basis of modern computing. We can convert between the decimal form and binary form of a number to solve different problems. video https://cdn.kastatic.org/googleusercontent/t148CvAeNinMgKJuOAWKS5UAYHXWpnTe71gf2rlM9hY-61PPWMCpdUbxTttTUmVogpP2GQoUWziD_fcNMjFEWmQ3VA Introduction to number systems and binary The base 10 (decimal) system is the most common number system used by humans, but there are other important and useful number systems. For example, base 2, called binary system, is the basis of modern computing. We can convert between the decimal form and binary form of a number to solve different problems. https://cdn.kastatic.org/ka-youtube-converted/ku4KOFQ-bB4.mp4/ku4KOFQ-bB4.mp4 600 The Idea of a Base https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/algebra-alternate-number-bases/v/hexadecimal-number-system 2023-11-15T19:12:44.061361401Z Hexadecimal number system The hexadecimal number system is a way of counting that uses 16 different symbols instead of just the ten we're used to. It uses the numbers 0-9 like we do, but it also uses the letters A-F to represent the numbers 10-15. This system is useful in computer science because it can represent large numbers in a shorter, more compact way. video https://cdn.kastatic.org/googleusercontent/KIba5AZQbl9H7LhUWbqGq0o9hyvrLtaYtFS1_JGZm6XM5aWqb1nQ5mKOx_-YuI52ulka7c2zj6RkRUFM-fv-oaoN Hexadecimal number system The hexadecimal number system is a way of counting that uses 16 different symbols instead of just the ten we're used to. It uses the numbers 0-9 like we do, but it also uses the letters A-F to represent the numbers 10-15. This system is useful in computer science because it can represent large numbers in a shorter, more compact way. https://cdn.kastatic.org/ka-youtube-converted/4EJay-6Bioo.mp4/4EJay-6Bioo.mp4 454 The Idea of a Base https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/algebra-alternate-number-bases/v/decimal-to-binary 2023-11-15T19:12:44.061361401Z Converting from decimal to binary To convert a number from decimal to binary, we need to figure out which combination of 0s and 1s will represent the number. Start by finding the largest power of 2 that fits into the number, write down a "1" to represent that power of 2, and subtract it from the number. We keep going until we reach the smallest power of 2, which is 1. video https://cdn.kastatic.org/googleusercontent/Q3vICe_YaYb8_4eUs3TciaKQn7lE6AfIR3cCvolIja-HVJmgl2wddgNDprLkIq3Fys7v8iHYPpbIQ_m6gjR5zOCj4g Converting from decimal to binary To convert a number from decimal to binary, we need to figure out which combination of 0s and 1s will represent the number. Start by finding the largest power of 2 that fits into the number, write down a "1" to represent that power of 2, and subtract it from the number. We keep going until we reach the smallest power of 2, which is 1. https://cdn.kastatic.org/ka-youtube-converted/H4BstqvgBow.mp4/H4BstqvgBow.mp4 232 The Idea of a Base https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/algebra-alternate-number-bases/v/large-number-decimal-to-binary 2023-11-15T19:12:44.061361401Z Converting larger number from decimal to binary To convert a number from decimal to binary, we need to figure out which combination of 0s and 1s will represent the number. Start by finding the largest power of 2 that fits into the number, write down a "1" to represent that power of 2, and subtract it from the number. We keep going until we reach the smallest power of 2, which is 1. video https://cdn.kastatic.org/googleusercontent/WnjiS103eKZYSMncFjPRjxfQDOOqsNeTmZOZeZaXyulP8IrgTDtfwSReV6x8CQZ594xeQfWOEDxoE3eFoydswxUb Converting larger number from decimal to binary To convert a number from decimal to binary, we need to figure out which combination of 0s and 1s will represent the number. Start by finding the largest power of 2 that fits into the number, write down a "1" to represent that power of 2, and subtract it from the number. We keep going until we reach the smallest power of 2, which is 1. https://cdn.kastatic.org/ka-youtube-converted/bvcXEJbEzSs.mp4/bvcXEJbEzSs.mp4 252 The Idea of a Base