For the circuit shown in Figure, the output S and Cout are given byS=ABCinCout=A⊕B⊕CinS=AB⊕BCin⊕CinACout=ABCinS= A⊕B⊕CinCout=AB+BCin+ACinS= A⊕B⊕CinCout=ABCin

To find the output S and Cout for the given circuit, we can use the following steps:

1. Start by analyzing the expression for S. It is given as S = A ⊕ B ⊕ Cin. This means that S is the result of performing an XOR operation on A, B, and Cin.

2. Next, let's determine the expression for Cout. It is given as Cout = A ⊕ B ⊕ Cin. This means that Cout is also the result of performing an XOR operation on A, B, and Cin.

3. Simplifying the expression for Cout further, we can rewrite it as Cout = AB + BCin + ACin. This means that Cout is the result of performing an OR operation on the product of AB, BCin, and ACin.

4. Finally, we can rewrite the expression for S and Cout in terms of ABCin. S = A ⊕ B ⊕ Cin can be simplified to S = ABCin. Similarly, Cout = AB + BCin + ACin can be simplified to Cout = ABCin.

Therefore, the final expressions for the output S and Cout are S = ABCin and Cout = ABCin.