Why does binary system represent a power of two?

The binary system represents a power of two because it is a base-2 numeral system, using only two digits: 0 and 1. Each position in a binary number corresponds to a power of two, starting from (2^0) on the right. For example, the binary number 1011 represents (1 \times 2^3 + 0 \times 2^2 + 1 \times 2^1 + 1 \times 2^0), which equals 11 in decimal. This structure allows for efficient representation and computation in digital systems, as electronic components can easily distinguish between two states (on and off).