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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...

In programming, it’s common to deal with lengths or sizes of data. Depending on the size of that data, we represent its length using bytes. But how exactly does this encoding work? Let’s break it down step by step. What is a Byte? A  byte  is a unit of data that consists of 8  bits . Each bit is a binary value, meaning it can either be a  0  or a  1 . For example, if we have a sequence of 8 bits, it might look like this: 00000000 That’s a byte with all zeroes. How We Encode Lengths Using Bytes When encoding a length in bytes, we need to consider how large that length is. The larger the number, the more bytes we need to represent it. Let’s look at an example to make this clearer. Example 1: Length = 255 Let’s say we have the value  255 , and we want to encode this length in bytes. Since  255  can fit in 1 byte (8 bits), it’s simple. The binary representation of  255  is: 11111111 This is the maximum value you can store in a single by...