110111011001

110111011001 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically "0" and "1", to represent numbers. This is in contrast to the decimal system, which is base-10 and uses digits 0 through 9.

In the binary system, each digit's position represents a power of 2, starting from the rightmost digit as 2^0, the next as 2^1, and so on. To convert 110111011001 from binary to decimal, we can perform the following calculation:

1 * 2^11 + 1 * 2^10 + 0 * 2^9 + 1 * 2^8 + 1 * 2^7 + 1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 0 * 2^1 + 1 * 2^0

This equates to:

2048 + 1024 + 0 + 256 + 128 + 64 + 0 + 16 + 8 + 0 + 0 + 1 = 3545

Therefore, the binary number 110111011001 is equivalent to the decimal number 3545. Binary representation is fundamental in computer science and digital electronics, as computers process information using electrical signals that are either on or off, corresponding to the binary digits 1 and 0.