110110100011

110110100011 is a binary number. Binary is a base-2 numeral system that uses only two symbols, typically 0 and 1. This sequence represents a specific quantity in the decimal (base-10) system. To convert 110110100011 from binary to decimal, one multiplies each digit by 2 raised to the power of its position, starting from the rightmost digit at position 0. Therefore, 110110100011 in binary is equivalent to (1 * 2^11) + (1 * 2^10) + (0 * 2^9) + (1 * 2^8) + (1 * 2^7) + (0 * 2^6) + (1 * 2^5) + (0 * 2^4) + (0 * 2^3) + (0 * 2^2) + (1 * 2^1) + (1 * 2^0). This calculation results in 2048 + 1024 + 0 + 256 + 128 + 0 + 32 + 0 + 0 + 0 + 2 + 1, which sums to 3491 in the decimal system. Binary representations are fundamental in computer science and digital electronics, where electrical signals represent either a 0 (off) or a 1 (on).