10101110101
The binary number 10101110101 is a sequence of ten digits, each being either a 0 or a 1. In binary numeral system, which is base-2, each digit represents a power of 2, with the rightmost digit representing 2^0, the next representing 2^1, and so on. The binary number 10101110101 can be converted to its decimal (base-10) equivalent by summing the products of each digit and its corresponding power of 2. In this case, the decimal equivalent is 685. Binary numbers are widely used in computing and digital electronics due to their simplicity and direct correspondence with electronic signals, which can be either on (1) or off (0). The binary system is also fundamental in data storage and transmission, as it allows for efficient representation and manipulation of data using binary digits, or bits.