1011001111111111

The binary number 1011001111111111 is a 16-bit binary number. In decimal notation, it is equivalent to 46,559. Binary numbers are a base-2 numeral system used in digital electronics and computing. Each digit in a binary number is called a bit, and it can be either 0 or 1. The position of each bit represents a power of 2, starting from the rightmost bit (which represents 2^0) to the leftmost bit (which represents 2^n-1, where n is the number of bits).

To convert the binary number 1011001111111111 to decimal, each bit is multiplied by 2 raised to the power of its position, and the results are summed up. For example, the rightmost bit (1) is multiplied by 2^0, the next bit (1) is multiplied by 2^1, and so on, until the leftmost bit (1) is multiplied by 2^15. The sum of these products gives the decimal equivalent.

Binary numbers are widely used in computer science and digital electronics due to their simplicity and efficiency in representing and processing data. They are the foundation of digital communication and storage systems, as well as the basis for various algorithms and data structures used in computing.