0xFD2

0xFD2 is a hexadecimal representation of a number. In decimal form, this number is 4050. The "0x" prefix is a common convention in programming and computing to indicate that the following digits are in hexadecimal. Hexadecimal is a base-16 numeral system, meaning it uses 16 distinct symbols. 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.

The conversion from hexadecimal to decimal follows a standard formula. For 0xFD2, each digit's value is multiplied by 16 raised to the power of its position, starting from the rightmost digit at position 0. So, 0xFD2 would be calculated as: (2 * 16^0) + (D * 16^1) + (F * 16^2). Substituting the decimal values for D (13) and F (15): (2 * 1) + (13 * 16) + (15 * 256) = 2 + 208 + 3840 = 4050.

In computing, hexadecimal is frequently used because it offers a more human-readable representation of binary code than long strings of ones and zeros. Each hexadecimal digit corresponds directly to four binary digits (bits), making it a convenient shorthand. For example, 0xFD2 in binary is 111111010010. Understanding the value of 0xFD2 in decimal or binary can be important when working with low-level programming, memory addresses, or data representation in various computing contexts.