What is the working principle of 3-bit r-2r ladder?

A 3-bit R-2R ladder DAC (Digital-to-Analog Converter) operates on the principle of binary-weighted resistances. It uses a network of resistors with values of R and 2R to convert binary input values into corresponding analog voltage levels. Each bit of the input binary number controls a switch that connects either to a reference voltage or ground, creating a proportional voltage at the output based on the weighted contributions of each bit. The output voltage is obtained by summing the contributions of the resistors, resulting in a smooth analog signal that reflects the digital input.