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The tutorial explains the concept of number systems based on powers of 2 and 16. It highlights the calculation of binary numbers, illustrating how binary digits correspond to powers of 2 (1, 2, 4, 8, etc.). For example, the binary number 1010 translates to base 10 as 8 (2^3) plus 2 (2^1), resulting in 10. Additionally, it demonstrates converting hexadecimal to decimal using powers of 16 (1, 16, 256). The tutorial notes that in hexadecimal, digits 0 through 9 remain the same as in decimal, while letters (A-F) represent values 10 to 15. This understanding of base conversions is essential for numerical representation across different systems.