
Explore the foundational number system underpinning computer and AI data processing, focusing on the binary system and conversions between binary, decimal, and hexadecimal.
Explore the fundamental role of the number system in mathematics, computer science, and artificial intelligence, with emphasis on data, representation, information, processes, and algorithms.
Explore the role of foundations in the mathematics of artificial intelligence by examining data, numerical representations (decimal, binary, hexadecimal, octal), data processing, encoding, encryption, and digital logic.
Explore how bases determine the digits and values in number systems, from decimal base 10 to binary base 2, hex base 16 with 0-9 and A-F, and octal base 8.
Convert decimal numbers to binary by repeatedly dividing by 2 and reading the remainders from last to first, illustrated with 13 and 25.
Convert binary to decimal by multiplying each binary digit by the corresponding power of two, illustrated with examples such as 1101 equals 13, 1100 equals 12, and 11010101 equals 230.
Convert binary to hexadecimal and decimal by grouping the binary digits from right to left into groups, with examples showing digits like f, b, c, d, and eight.
Convert hexadecimal to binary by mapping each hex digit to a 4-bit binary value. Use examples such as PE, E, A, CE, and BA to illustrate the conversion.
Explore the basic rules of binary addition, including zero plus zero, zero plus one, and one plus one, and learn how to form sums with practical examples.
Explore binary multiplication basics, showing add steps and left shifts through multiple examples of binary numbers and bit shift operations.
Learn the subtraction process, including how borrows affect digits and the resulting value, with emphasis on borrow left and the final result.
Artificial Intelligence is built on data, and data is ultimately represented using numbers. To truly understand how AI systems work, it is essential to first understand the number systems that computers rely on. This course is designed to provide a clear and practical introduction to the most important number systems used in computing and AI: Binary (Base 2), Decimal (Base 10), and Hexadecimal (Base 16).
This course starts from the absolute basics, making it ideal for beginners with no prior background in AI, programming, or advanced mathematics. You will learn what number systems are, why computers use binary, and how decimal and hexadecimal systems fit into modern computing and artificial intelligence workflows. Step by step, you will master number conversions between base 2, 10, and 16 using simple, easy-to-follow methods.
Throughout the course, concepts are explained in a clear and intuitive way, focusing on understanding rather than memorization. You will see how these number systems are used in real-world scenarios such as data representation, memory addressing, and low-level operations that support AI algorithms. Practical examples will help you connect mathematical concepts to how computers and AI systems actually process information.
By the end of this course, you will have a strong mathematical foundation that prepares you for more advanced topics such as Machine Learning, Deep Learning, programming, and computer architecture. Whether you are a student, an aspiring AI learner, or simply curious about how computers think in numbers, this course will give you the confidence and knowledge to move forward in your AI learning journey.
This course is perfect as a starting point before diving into more complex AI and data science topics