How is the value of each column in binary notation determined?

The value of each column in binary notation is determined by the principle that each column represents a power of 2. Specifically, each column's value is twice the value of the column to its right. In binary, the rightmost column (the least significant bit) represents (2^0) or 1, the next column to the left represents (2^1) or 2, followed by (2^2) or 4, (2^3) or 8, and so on. This exponential growth reflects how binary numbers are structured, with each advancing column representing a doubling of the value.

This principle underscores that in binary notation, as you move left from any column, you are essentially multiplying the base (2) by itself, leading to a value that is twice that of the column to its right, which clearly aligns with the characteristics of binary counting. Thus, the answer correctly highlights the foundational mechanism behind the binary system, whereby each column's value is a result of doubling the previous column's value.