A 4 \(\times\) 1 multiplexer with two selector lines is used to realize a Boolean function \( F \) having four Boolean variables X, Y, Z and W as shown below. \( S_0 \) and \( S_1 \) denote the least significant bit (LSB) and most significant bit (MSB) of the selector lines of the multiplexer respectively. \( I_0, I_1, I_2, I_3 \) are the input lines of the multiplexer.
The canonical sum of product representation of F is