0x1A10

0x1A10 is a hexadecimal number. In decimal representation, it is equal to 6680. Hexadecimal, or base-16, is a numeral system that uses sixteen distinct symbols. These symbols are typically the digits 0-9 and the letters A-F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

The number 0x1A10 can be broken down into its place values in base-16. Starting from the rightmost digit: 0 is in the 16^0 position (units place), 1 is in the 16^1 position (sixteens place), A (which is 10) is in the 16^2 position (256s place), and 1 is in the 16^3 position (4096s place). To convert 0x1A10 to decimal, we calculate: (1 * 16^3) + (10 * 16^2) + (1 * 16^1) + (0 * 16^0) = (1 * 4096) + (10 * 256) + (1 * 16) + (0 * 1) = 4096 + 2560 + 16 + 0 = 6672. There was a slight error in the initial decimal conversion; the correct decimal value for 0x1A10 is 6672.

Hexadecimal numbers are commonly used in computing, particularly in representing memory addresses, colors, and machine code. Their base-16 system allows for a more compact representation of binary data compared to decimal. For example, a byte (8 bits) can be represented by two hexadecimal digits.