The expression "1×2^3 + 0×2^2 + 1×2^1 + 1×2^0" represents a binary number in base-2. Each term consists of a coefficient (0 or 1) multiplied by a power of 2. The powers of 2 correspond to the positions of the bits, starting from the right at 0. Calculating this expression, we find: 1×2^3 equals 8, 0×2^2 equals 0, 1×2^1 equals 2, and 1×2^0 equals 1. Adding these values together gives 8 + 0 + 2 + 1, which equals 11. Thus, the binary number represented is 11 in decimal form.