A resistor network is built in the form of a 6-level binary tree between an input and an output terminal. The first level consists of a single resistor connected to the input terminal. After this resistor, the wire splits into two branches, each containing one resistor (forming the second level). After each second-level resistor, the wire splits again into two branches, each containing one resistor (forming the third

Step-by-step solution

Due to the symmetry of the binary tree network, all nodes at the same depth (level) are at the same electrical potential. Therefore, we can conceptually connect all nodes at the same level together without changing the currents in the circuit. This simplifies the network into 6 series stages, where each stage consists of a number of resistors connected in parallel: Level 1: 1 resistor of 32 . Equivalent resistance R₁ = 32 1 = 32 Level 2: 2 resistors of 32 in parallel. Equivalent resistance R₂ = 32 2 = 16 Level 3: 4