0x01F26

0x01F26 is a hexadecimal number, a base-16 numeral system commonly used in computing and digital electronics. In this system, the digits range from 0 to 9 and then continue with letters A to F, representing values 10 to 15. The prefix "0x" is often used to denote that a number is in hexadecimal format.

The number 0x01F26 can be broken down into its constituent parts. The "0x" prefix indicates the hexadecimal format. The digits "01" represent the value 1 in hexadecimal, "F" represents 15, and "2" and "6" represent their face values. To convert 0x01F26 to decimal (base-10), each digit is multiplied by 16 raised to the power of its position, starting from the right at 0. Therefore, 0x01F26 in decimal is calculated as (0×16^3) + (1×16^2) + (15×16^1) + (2×16^0) + (6×16^-1), which equals 7974 in decimal.

Hexadecimal numbers are particularly useful in computing because they provide a human-friendly representation of binary-coded values. Each hexadecimal digit corresponds to a four-digit binary number, making it easier to read and interpret binary data. This is why hexadecimal is often used in programming, network administration, and digital electronics.