0x1226

0x1226 is a hexadecimal number. In decimal representation, it is equal to 4646. Hexadecimal is a base-16 numbering system, meaning it uses sixteen distinct symbols to represent numbers. These symbols are the digits 0 through 9 and the letters A through F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15. To convert 0x1226 from hexadecimal to decimal, each digit is multiplied by a power of 16 corresponding to its position, starting from the rightmost digit with 16^0. Therefore, 0x1226 can be calculated as (1 * 16^3) + (2 * 16^2) + (2 * 16^1) + (6 * 16^0) = (1 * 4096) + (2 * 256) + (2 * 16) + (6 * 1) = 4096 + 512 + 32 + 6 = 4646. Hexadecimal notation is commonly used in computing, particularly in areas like memory addressing, color codes (e.g., RGB values), and data representation, due to its compact nature and ease of conversion to and from binary. The prefix "0x" is a convention used in many programming languages and contexts to explicitly denote that a number is represented in hexadecimal.