Explanation:

When two 16-input multiplexers drive a 2-input MUX, the result is a 32-input MUX. This can be explained as follows:

Working of Multiplexers:

A multiplexer (MUX) is a device that selects one of several input signals and forwards the selected input into a single output line. It is also known as a data selector. A multiplexer has two sets of inputs: data inputs and control inputs. The data inputs are the signals to be selected, and the control inputs determine which data input is selected.

A 2-input MUX has two data inputs (D0 and D1), one select input (S), and one output (Y). The output is connected to either D0 or D1 depending on the value of the select input (S). If S=0, then D0 is selected, and if S=1, then D1 is selected.

Similarly, a 16-input MUX has sixteen data inputs (D0 to D15), four select inputs (S0 to S3), and one output (Y). The output is connected to one of the sixteen data inputs depending on the values of the select inputs.

Working of 32-input MUX:

When two 16-input MUXes drive a 2-input MUX, the 16 inputs of each 16-input MUX are connected to the 16 data inputs of the 2-input MUX. The select inputs of the two 16-input MUXes are connected to the two data inputs of the 2-input MUX.

This configuration forms a 32-input MUX with two sets of select inputs (S0 and S1) and one output (Y). The output is connected to one of the thirty-two data inputs depending on the values of the select inputs.

Conclusion:

Thus, the result of two 16-input MUXes driving a 2-input MUX is a 32-input MUX.