A 4:1 multiplexer is to be used for generating the output carry of a full adder. A and B are the bits to be added while 𝐶in is the input carry and 𝐶out is the output carry. A and B are to be used as the select bits with A being the more significant select bit. Which one of the following statements correctly describes the choice of signals to be connected to the inputs $${I_0}$$, $${I_1}$$, $${I_2 }$$ and $${I_3}$$ so that the output is C$$_{out}$$?

In a half-subtractor circuit with X and Y as inputs, the Borrow (M) and Difference (N = X - Y) are given by

The output Y of a 2-bit comparator is logic 1 whenever the 2-bit input A is greater than the 2-bit input B. The number of combinations for which the output is logic 1, is

The logic function implemented by the circuit below is (ground implies a logic "0"