0x2BC

0x2BC is a hexadecimal representation of a number. In the decimal system, it is equivalent to 700. The prefix "0x" indicates that the following digits are in hexadecimal, a base-16 numeral system that uses digits 0-9 and letters A-F. The "2" in the second position from the right represents 2 multiplied by 16 to the power of 1 (which is 2 * 16 = 32), and the "B" in the rightmost position represents 11 multiplied by 16 to the power of 0 (which is 11 * 1 = 11). Summing these values, 32 + 11 equals 43. Ah, I apologize for the previous calculation error. Let's recalculate. In 0x2BC, the '2' is in the 16^2 (256) place, so 2 * 256 = 512. The 'B' (which is 11 in decimal) is in the 16^1 (16) place, so 11 * 16 = 176. The 'C' (which is 12 in decimal) is in the 16^0 (1) place, so 12 * 1 = 12. Therefore, 512 + 176 + 12 = 700.

Hexadecimal notation is commonly used in computing, particularly in contexts such as memory addressing, color codes, and data representation. This is due to its ability to represent binary data more compactly than decimal or octal systems. Each hexadecimal digit corresponds to exactly four binary digits (bits). For instance, '2' in hexadecimal is '0010' in binary, 'B' is '1011', and 'C' is '1100'. Thus, 0x2BC is equivalent to the binary sequence 001010111100. Understanding hexadecimal is fundamental for programmers and system administrators working with low-level computer operations.