11111000110101001

The binary number 11111000110101001 is a sequence of 16 bits, where each bit can be either 0 or 1. In decimal notation, this binary number is equivalent to 65,417. Binary numbers are used in computing and digital electronics to represent data and perform calculations. Each bit in a binary number represents a power of 2, with the rightmost bit representing 2^0, the next bit to the left representing 2^1, and so on. The binary number 11111000110101001 can be broken down into its component powers of 2 as follows: 2^15 + 2^14 + 2^13 + 2^12 + 2^11 + 2^8 + 2^5 + 2^4 + 2^1. This binary number is often used in programming and digital systems to represent numerical values, memory addresses, and other data. It is also used in error detection and correction algorithms, such as Hamming codes, to ensure the integrity of data transmitted over digital communication channels.