Dividing a binary number into 4-bit sets means that each set can have a possible value of between 00, allowing 16 number combinations from 0 to 15. In hex, four digits of a binary number can be represented by a single hex digit. As a result, they are easier to understand than long binary strings of 1s and 0s. The format of hex numbers is more compact than binary numbers because they can represent large binary numbers with fewer digits. These problems can be overcome by arranging the binary numbers into groups of four bits, i.e., by using the hexadecimal numbering system. When 16- or 32-bit numbers are involved, it becomes difficult to read and write them without producing errors. In computing systems, the binary string equivalents of large decimal numbers can become quite long. This is why hexadecimal is a positional or weighted number system. The numeric value of this number is calculated by multiplying each digit by the value of its position and then adding the products. The hex number starts with the least significant digit on the right-hand side. In this numbering system, each digit's position is 16 times more significant than the digit in the previous position. This is how the hex system uses the numbers from 0 to 9 and the capital letters A to F to represent the equivalent decimal number. The next six two-digit numbers (10 to 15) are represented by the letters A through F. The first nine numbers (0 to 9) are the same ones commonly used in the decimal system. The hexadecimal system contains 16 sequential numbers as base units, including 0. Here's what the decimal and hexadecimal systems look like for digits 0 to 15. The other three are decimal (base 10), binary (base 2) and octal (base 10). Hexadecimal - also known as Base 16 or hex - is one of four numbering systems.
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