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Understanding Number Systems: Decimal, Binary, and Hexadecimal

In everyday life, we use numbers all the time, whether for counting, telling time, or handling money. The number system we’re most familiar with is the   decimal system , but computers use other systems, such as   binary   and   hexadecimal . Let’s break down these number systems to understand how they work. What is a Number System? A number system is a way of representing numbers using a set of symbols and rules. The most common number systems are: Decimal (Base 10) Binary (Base 2) Hexadecimal (Base 16) Each system has a different “base” that tells us how many unique digits (symbols) are used to represent numbers. Decimal Number System (Base 10) This is the system we use daily. It has  10 digits , ranging from  0 to 9 . Example: The number  529  in decimal means: 5 × 1⁰² + 2 × 1⁰¹ + 9 × 1⁰⁰ =  500 + 20 + 9 = 529 Each position represents a power of 10, starting from the rightmost digit. Why Base 10? Decimal is base 10 because it has 10 digits...