Each binary column is a switch for one power of two. In this explorer the six columns carry thirty two, sixteen, eight, four, two and one. The initial digits one zero one one zero one select thirty two plus eight plus four plus one. Their sum is forty five. These colored lengths use one common scale, so the selected pieces really add to the same total. Turning on the previously zero sixteen column adds sixteen to forty five. The new digits are one one one one zero one, and the decimal result is sixty one. Hexadecimal three D and octal seventy five describe that same quantity in different bases. They do not add extra value. Use the native bit buttons or decimal input to keep the representations connected. Six bits can represent zero through sixty three: the sum of all six powers of two. Four bits only reach fifteen. When you reduce the width, this source clamps forty five to fifteen; it does not keep just the lowest four bits. Increasing the width again preserves the clamped number. The sweep preset has a different meaning: it rotates the first digit to the end. Rotating one zero one one zero one produces zero one one zero one one, or twenty seven. Practice mode chooses a target within the current bit width. Build that target using the switches or input and inspect the feedback. Copy State exports the current binary, decimal and hexadecimal text to the clipboard. The example preset restores the original six bit forty five. The page uses flexible blocks with minimum sizes to remain readable, so those screen blocks are illustrative rather than an exact ruler. The numeric weighted sum is the reliable proof.